Encontrados 5817 resultado(s)
Encontradas 59 página(s)
Encontradas 59 página(s)
Periodic solutions of second-order differential inclusions systems with p-Laplacian
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Paşca, Daniel
Some existence results are obtained for periodic solutions of nonautonomous second-order differential inclusions systems with p-Laplacian
Ver en: http://hdl.handle.net/2072/1178
Artículo científico antes de ser publicado, versión del autor (preprint)
The orthogonal subcategory problem in homotopy theory
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Casacuberta i Vergés, Carles, Chorny, Boris
It is known that, in a locally presentable category, localization exists with respect to every set of morphisms, while the statement that localization with respect to every (possibly proper) class of morphisms exists in locally presentable categories is equivalent to a large-cardinal axiom from set theory. One proves similarly, on one hand, that homotopy localization exists with respect to sets of maps in every cofibrantly generated, left proper, simplicial model category M whose underlying...
Ver en: http://hdl.handle.net/2072/1179
Artículo científico antes de ser publicado, versión del autor (preprint)
Global eriodicity and complete integrability of discrete dynamical systems
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Cima, Anna, Gasull i Embid, Armengol, Mañosa, Víctor
Vegeu el resum a l'inici del document del fitxer adjunt
Ver en: http://hdl.handle.net/2072/1180
Artículo científico antes de ser publicado, versión del autor (preprint)
Embedding theorems of funcitional classes, III
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Simonov, Boris V., Tikhonov, Sergey Yu.
In this paper we obtain the necessary and sufficient conditions for embedding results of different function classes. The main result is a criterion for embedding theorems for the so-called generalized Weyl-Nikol'skii class and the generalized Lipschitz class. To define the Weyl-Nikol'skii class, we use the concept of a (λ,β)-derivative, which is a generalization of the derivative in the sense of Weyl. As corollaries, we give estimates of norms and moduli of smoothness of transformed...
Ver en: http://hdl.handle.net/2072/1186
Artículo científico antes de ser publicado, versión del autor (preprint)
Large cardinals and L-like universes
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Friedman, Sy D.
Ver en: http://hdl.handle.net/2072/1187
Artículo científico antes de ser publicado, versión del autor (preprint)
Non-completeness of the Arakelov-induced metric on moduli space of curves
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Jorgenson, Jay, Kramer, Jürg
Ver en: http://hdl.handle.net/2072/1188
Artículo científico antes de ser publicado, versión del autor (preprint)
The unbounded dead-end depth propertie is not a group invariant
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Riley, Tim, Warshall, Andrew D.
Vegeu el resum a l'inici del document del fitxer adjunt
Ver en: http://hdl.handle.net/2072/1189
Artículo científico antes de ser publicado, versión del autor (preprint)
Examples of retracts in a free group that are not the fixed subgroup of any group of automorphisms
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Ciobanu, Laura, Dicks, Warren
Let F be a free group of rank at least three. We show that some retracts of F previously studied by Martino-Ventura are not equal to the fixed subgroup of any group of automorphisms of F.
This shows that, in F, there exist subgroups that are equal to the fixed subgroup of some set of endomorphisms but are not equal to the fixed subgroup of any set of automorphisms. Moreover, we determine the Galois monoids of these retracts, where, by the Galois monoid of a subgroup H of F, we mean the monoid...
Ver en: http://hdl.handle.net/2072/1190
Artículo científico antes de ser publicado, versión del autor (preprint)
On the set of subrings wich are directed unions of Artinian subrings
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Karim, Darioush, Zarzuela, Santiago
The paper contributes to the investigation of zero-dimensional rings which can be written as a directed union of Artinian subrings. We give conditions on DU(R) in order to be nonempty.
Ver en: http://hdl.handle.net/2072/1197
Artículo científico antes de ser publicado, versión del autor (preprint)
Periodic orbits of the planar collision restricted 3-body problem
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Llibre i Saló, Jaume, Paşca, Daniel
Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar
collision restricted 3–body problem. Additionally, we also continue to this restricted problem the so called “comets orbits”.
Ver en: http://hdl.handle.net/2072/1198
Artículo científico antes de ser publicado, versión del autor (preprint)
Some remarks on the class of continuous (Semi-) strictcly quasiconvex functions
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Daniilidis, Aris, García Ramos, Yboon
Vegeu el resum a l'inici del document del fitxer adjunt
Ver en: http://hdl.handle.net/2072/1199
Artículo científico antes de ser publicado, versión del autor (preprint)
In search of mathematical primitives for deriving universal projective hash families
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
González Vasco, Maria Isabel, Villar, Jorge L.
We provide some guidelines for deriving new projective hash families of cryptographic interest. Our main building blocks are so called group action systems; we explore what properties of this mathematical primitives may lead to the construction of cryptographically useful projective hash families. We point out different
directions towards new constructions, deviating from known proposals arising from Cramer and Shoup's seminal work.
Ver en: http://hdl.handle.net/2072/1230
Artículo científico antes de ser publicado, versión del autor (preprint)
The automorphism group of a free-by-cyclic group in rank 2
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Bogopolski, O., Martino, Armando, Ventura, Enric
Vegeu el resum a l'inici del document del fitxer adjunt
Ver en: http://hdl.handle.net/2072/1231
Artículo científico antes de ser publicado, versión del autor (preprint)
Linear stochastic differential algebraic equations with constant coefficients
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Alabert, Aureli, Ferrante, Marco
We consider linear stochastic differential-algebraic equations with constant coefficients and additive white noise. Due to the nature of this class of equations, the solution must be defined as a generalised process (in the sense of Dawson and Fernique). We provide sufficient conditions for the law of the variables of the solution process to be absolutely continuous with respect to Lebesgue measure.
Ver en: http://hdl.handle.net/2072/1232
Artículo científico antes de ser publicado, versión del autor (preprint)
Clarke critical values of subanalytic Lipschitz continuous functions
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Bolte, Jerôme, Daniilidis, Aris, Lewis, Adrian S., Shiota, Masashiro
We prove that any subanalytic locally Lipschitz function has the Sard property. Such functions are typically nonsmooth and their lack of regularity necessitates the choice of some generalized notion of gradient and of critical point. In our framework these notions are defined in terms of the Clarke and of the convex-stable subdifferentials. The main result of this note asserts that for any subanalytic locally Lipschitz function the set of its Clarke critical values is locally finite. The proof...
Ver en: http://hdl.handle.net/2072/1233
Artículo científico antes de ser publicado, versión del autor (preprint)
Mixed Hodge structures and vector bundles on the projective Plane I
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Penacchio, Olivier
We describe an equivalence of categories between the category of mixed Hodge structures and a category of vector bundles on the toric complex projective plane which verify some semistability
condition. We then apply this correspondence to define an invariant which generalises the notion of R-split mixed Hodge structure and compute extensions in the category of mixed Hodge structures in terms of extensions of the corresponding vector bundles. We also give a relative version of this...
Ver en: http://hdl.handle.net/2072/1394
Artículo científico antes de ser publicado, versión del autor (preprint)
Polynomial-time complexity for instances of the endomorphism problem in free groups
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Ciobanu, Laura
We say the endomorphism problem is solvable for an element W in a free group F if it can be decided effectively whether, given U in F, there is an endomorphism Φ of F sending W to U.
This work analyzes an approach due to C. Edmunds and improved by C. Sims. Here we prove that the approach provides an efficient algorithm for solving the endomorphism problem when W is a two-
generator word. We show that when W is a two-generator word this algorithm solves the problem in time polynomial in the...
Ver en: http://hdl.handle.net/2072/1395
Artículo científico antes de ser publicado, versión del autor (preprint)
On an upper bound for the arithmetic self-intersection number of the dualizing sheaf on arithmetic surfaces
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Kühn, Ulf
Vegeu el resum a l'inici del document del fitxer adjunt
Ver en: http://hdl.handle.net/2072/1396
Artículo científico antes de ser publicado, versión del autor (preprint)
Distortion of surface groups in Cat (0) free-by-cyclic groups
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Barnard, Josh, Brady, Noel
Given a non-positively curved 2-complex with a circle-valued Morse function satisfying some extra combinatorial conditions, we describe how to locally isometrically embed this in a larger non-
positively curved 2-complex with free-by-cyclic fundamental group.
This embedding procedure is used to produce examples of CAT(0) free-by-cyclic groups that contain closed hyperbolic surface subgroups
with polynomial distortion of arbitrary degree. We also produce examples of CAT(0) hyperbolic free-by-...
Ver en: http://hdl.handle.net/2072/1397
Artículo científico antes de ser publicado, versión del autor (preprint)
On the number of limit cycles bifurcating from a non-global degenerated center
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Gasull i Embid, Armengol, Li, Chengzhi, Liu, Changjian
Vegeu el resum a l'inici del document del fitxer adjunt
Ver en: http://hdl.handle.net/2072/1398
Artículo científico antes de ser publicado, versión del autor (preprint)
Embedding theorems of function classes, IV
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Tikhonov, Sergey Yu.
Vegeu el resum a l'inici del document del fitxer adjunt
Ver en: http://hdl.handle.net/2072/1475
Artículo científico antes de ser publicado, versión del autor (preprint)
Internal consistency and the inner model hypothesis
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Friedman, Sy D.
Ver en: http://hdl.handle.net/2072/1485
Artículo científico antes de ser publicado, versión del autor (preprint)
RECASTING THE ELLIOTT CONJECTURE
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Perera Domènech, Francesc, Toms, Andrew S.
Let A be a simple, unital, finite, and exact C*-algebra which absorbs the Jiang-Su algebra Z tensorially. We prove that the Cuntz semigroup of A admits a complete order embedding into an ordered semigroup which is obtained from the Elliott invariant in a functorial manner. We conjecture that this embedding is an isomor
phism, and prove the conjecture in several cases. In these same cases - Z-stable algebras all - we prove that the Elliott conjecture in its strongest form is equivalent to a...
Ver en: http://hdl.handle.net/2072/1486
Artículo científico antes de ser publicado, versión del autor (preprint)
Periodic solutions for nonautonomous second order differential inclusions systems with p- Laplacian
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Paşca, Daniel
Using the nonsmooth variant of minimax point theorems, some existence results are obtained for periodic solutions of nonautonomous second-order differential inclusions systems with p-Laplacian.
Ver en: http://hdl.handle.net/2072/1487
Artículo científico antes de ser publicado, versión del autor (preprint)
Growth of positive words and lower bounds of the growth rate for Thompson's group (F)p
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Burillo Puig, Josep, Guba, Víctor S.
Vegeu el resum a l'inici del document del fitxer adjunt.
Ver en: http://hdl.handle.net/2072/1488
Artículo científico antes de ser publicado, versión del autor (preprint)
Bounding right-arm rotation distances
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Cleary, Sean, Taback, Jennifer
Rotation distance quantifies the difference in shape between two rooted binary trees of the same size by counting the minimum number of elementary changes needed to transform one tree to the other. We describe several types of rotation distance, and provide upper bounds on distances between trees with a fixed number of nodes with respect to each type. These bounds are obtained by relating each restricted rotation distance to the word length of elements of Thompson's group F with respect to...
Ver en: http://hdl.handle.net/2072/1489
Artículo científico antes de ser publicado, versión del autor (preprint)
Embedding theorems of function classes, II
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Tikhonov, Sergey Yu.
Vegeu el resum a l'inici del document del fitxer adjunt.
Ver en: http://hdl.handle.net/2072/1490
Artículo científico antes de ser publicado, versión del autor (preprint)
Computational explorations in Thompson's group F
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Burillo Puig, Josep, Cleary, Sean, Wiest, Bertold
Here we describe the results of some computational explorations in Thompson's group F. We describe experiments to estimate the cogrowth of F with respect to its standard finite generating set, designed to address the subtle and difficult question whether or not Thompson's group is amenable. We also describe experiments to estimate the exponential growth rate of F and the rate of escape of symmetric random walks with respect to the standard generating set.
Ver en: http://hdl.handle.net/2072/1491
Artículo científico antes de ser publicado, versión del autor (preprint)
A topological proof that surface relators are test words
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Turner, Edward C.
Vegeu el resum a l'inici del document del fitxer adjunt.
Ver en: http://hdl.handle.net/2072/1492
Artículo científico antes de ser publicado, versión del autor (preprint)
On Hyperbolic once-punctured-torus bundles II. Fractal tessellations of the plane
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Cannon, James W., Dicks, Warren
We describe fractal tessellations of the complex plane that arise naturally from Cannon-Thurston maps associated to complete, hyperbolic, once-punctured-torus bundles. We determine the
symmetry groups of these tessellations.
Ver en: http://hdl.handle.net/2072/1493
Artículo científico antes de ser publicado, versión del autor (preprint)
Contractions in the 2-wasserstein lenght space and thermalization of granular media
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Carrillo, José A., McCann, Robert, J., Villani, Cédric
An algebraic decay rate is derived which bounds the time required for velocities to equilibrate in a spatially homogeneous flow-through model representing the continuum limit of a gas of particles interacting through slightly inelastic collisions. This rate is obtained by reformulating the dynamical problem as the gradient flow of a convex energy on an infinite-dimensional manifold. An abstract theory is developed for gradient flows in length spaces, which shows how degenerate convexity (or...
Ver en: http://hdl.handle.net/2072/1726
Artículo científico antes de ser publicado, versión del autor (preprint)
Combinatorial and metric properties of Thompson's group T
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Burillo Puig, Josep, Cleary, Sean, Stein, Melanie, Taback, Jennifer
We discuss metric and combinatorial properties of
Thompson's group T, such as the normal forms for elements and uniqueness of tree pair diagrams. We relate these properties to those of Thompson's group F when possible, and highlight combinatorial
differences between the two groups. We define a set of unique normal forms for elements of T arising from minimal factorizations of elements into convenient pieces. We show that the number of carets in a reduced representative of T estimates...
Ver en: http://hdl.handle.net/2072/1727
Artículo científico antes de ser publicado, versión del autor (preprint)
A proof that all Seifert 3-manifold groups and all virtual surface groups are conjugacy separable
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Martino, Armando
We prove that the fundamental group of any Seifert 3-manifold is conjugacy separable. That is, conjugates may be distinguished infinite quotients or, equivalently, conjugacy classes are closed in the pro-finite topology.
Ver en: http://hdl.handle.net/2072/1728
Artículo científico antes de ser publicado, versión del autor (preprint)
The Zariski-Lefschetz principle for higher homotopy groups of nongeneric pencils
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Tibăr, Mihai
We prove a general Zariski-van Kampen-Lefschetz type
theorem for higher homotopy groups of generic and nongeneric pencils on singular open complex spaces.
Ver en: http://hdl.handle.net/2072/1729
Artículo científico antes de ser publicado, versión del autor (preprint)
Intermediate asymptotics beyond homogeneity and self-similarity: long time behavior for [formula]
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Carrillo, José A., Di Francesco, Marco, Gualdani, Maria P.
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/1730
Artículo científico antes de ser publicado, versión del autor (preprint)
Contractive metrics for a Boltzmann equation for granular gases: diffusive equilibriaThe Patterson-Sullivan embedding and minimal volume entropy for outer space
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Bisi, M., Carrillo, José A., Toscani, Giuseppe
We quantify the long-time behavior of a system of (partially) inelastic particles in a stochastic thermostat by means of the contractivity of a suitable metric in the set of probability measures. Existence, uniqueness, boundedness of moments and regularity of a steady state are derived from this basic property. The solutions of the kinetic model are proved to converge exponentially as t→ ∞ to this diffusive equilibrium in this distance metrizing the weak convergence of measures. Then, we prove...
Ver en: http://hdl.handle.net/2072/1731
Artículo científico antes de ser publicado, versión del autor (preprint)
The Patterson-Sullivan embedding and minimal volume entropy for outer space
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Kapovich, Ilya, Smirnova-Nagnibeda, Tatian
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/1732
Artículo científico antes de ser publicado, versión del autor (preprint)
Periodic orbits near a heteroclinic loop formed by one dimensional orbit and a 2-dimensional manifold: application to the charged collinear 3-body problem
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Llibre i Saló, Jaume, Paşca, Daniel
The paper is devoted to the study of a type of differential systems which appear usually in the study of some Hamiltonian systems with 2 degrees of freedom. We prove the existence of infinitely many periodic orbits on each negative energy level. All these periodic orbits pass near the total collision. Finally we apply these results to
study the existence of periodic orbits in the charged collinear 3–body problem.
Ver en: http://hdl.handle.net/2072/1733
Artículo científico antes de ser publicado, versión del autor (preprint)
Free and fragmenting filling length
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Bridson, Martin, R., Riley, Tim
The filling length of an edge-circuit η in the Cayley 2-complex of a finite presentation of a group is the minimal integer length L such that there is a combinatorial null-homotopy of η down to a base point through loops of length at most L. We introduce similar notions in which the full-homotopy is not required to fix a base point, and in which the contracting loop is allowed to bifurcate. We exhibit a group in which the resulting filling invariants exhibit dramatically different behaviour to...
Ver en: http://hdl.handle.net/2072/1734
Artículo científico antes de ser publicado, versión del autor (preprint)
The period function of the generalized Lotka-Volterra centers
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Villadelprat Yagüe, Jordi
"Vegeu el resum a l'inici del document del fitxer adjunt"
Ver en: http://hdl.handle.net/2072/1735
Artículo científico antes de ser publicado, versión del autor (preprint)
Embedding theorems of function classes, I
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Simonov, Boris V., Tikhonov, Sergey Yu.
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/1736
Artículo científico antes de ser publicado, versión del autor (preprint)
The complexity of random ordered structures
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Spencer, Joel, H., St. John, Katherine
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/1737
Artículo científico antes de ser publicado, versión del autor (preprint)
Stability and asymptotic analysis of a fluid-particle interaction model
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Carrillo, José A., Goudon, Thierry
We are interested in coupled microscopic/macroscopic models describing the evolution of particles dispersed in a fluid. The
system consists in a Vlasov-Fokker-Planck equation to describe the microscopic motion of the particles coupled to the Euler equations for
a compressible fluid. We investigate dissipative quantities, equilibria and their stability properties and the role of external forces. We also study some asymptotic problems, their equilibria and stability and the derivation of...
Ver en: http://hdl.handle.net/2072/1738
Artículo científico antes de ser publicado, versión del autor (preprint)
Metrics on diagram groups and uniform embeddings in a Hilbert space
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Arzhantseva, Goulnara N., Guba, Víctor S., Sapir, Mark V.
"Vegeu el resum a l'inici del document del fitxer adjunt".
Ver en: http://hdl.handle.net/2072/1739
Artículo científico antes de ser publicado, versión del autor (preprint)
Semidiscretization and long-time asymptotics of nonlinear diffusion equations
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Carrillo, José A., Di Francesco, Marco, Gualdani, Maria P.
We review several results concerning the long time asymptotics of nonlinear diffusion models based on entropy and mass transport methods. Semidiscretization of these nonlinear diffusion
models are proposed and their numerical properties analysed. We demonstrate the long time asymptotic results by numerical simulation and we discuss several open problems based on these numerical
results. We show that for general nonlinear diffusion equations the long-time asymptotics can be characterized in...
Ver en: http://hdl.handle.net/2072/1740
Artículo científico antes de ser publicado, versión del autor (preprint)
Testing Cayley graph densities
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Arzhantseva, Goulnara N., Guba, Víctor S., Lustig, Martin, Préaux, Jean-Philippe
We present a computer-assisted analysis of combinatorial properties of the Cayley graphs of certain finitely generated groups: Given a group
with a finite set of generators, we study the density of the corresponding Cayley graph, that is, the least upper bound for the average vertex degree (= number of adjacent edges) of any finite subgraph. It is known that an m-generated group
is amenable if and only if the density of the corresponding Cayley graph equals to 2m. We test amenable and non-...
Ver en: http://hdl.handle.net/2072/2025
Artículo científico antes de ser publicado, versión del autor (preprint)
Generalized property R and the Schoenflies Conjecture
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Scharlemann, Martin
There is a relation between the generalized Property R Conjecture and the Schoenflies Conjecture that suggests a new line of attack on the latter.
The new approach gives a quick proof of the genus 2 Schoenflies Conjecture and suffices to prove the genus 3 case, even in the absence of new progress on the generalized Property R Conjecture.
Ver en: http://hdl.handle.net/2072/2024
Artículo científico antes de ser publicado, versión del autor (preprint)
Pure braid subgroups of braided Thompson's groups
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Brady, Thomas, Burillo Puig, Josep, Cleary, Sean, Stein, Melanie
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/2026
Artículo científico antes de ser publicado, versión del autor (preprint)
Absolute type shaft encoding using LFSR
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Ventura, Enric, Fuertes i Armengol, Josep M., Balle, Borja
Maximal-length binary sequences have been known for a long time. They have many interesting properties, one of them is that when taken in blocks of n consecutive positions they form
2ⁿ-1 different codes in a closed circular sequence. This property can be used for measuring absolute angular positions as the circle
can be divided in as many parts as different codes can be retrieved.
This paper describes how can a closed binary sequence with arbitrary length be effectively designed with the...
Ver en: http://hdl.handle.net/2072/2027
Artículo científico antes de ser publicado, versión del autor (preprint)
Approximating subtree distances between Phylogenies
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Bonet Carbonell, Maria Luisa, St. John, Katherine, Mahindru, Ruchi, Amenta, Nina
We give a 5-approximation algorithm to the rooted
Subtree-Prune-and-Regraft (rSPR) distance between two phylogenies, which was recently shown to be NP-complete by Bordewich and Semple [5]. This paper presents the first approximation result for this important tree distance. The algorithm follows a standard format for tree distances such as Rodrigues et al. [24] and Hein et al. [13]. The
novel ideas are in the analysis. In the analysis, the cost of the algorithm uses a \cascading" scheme...
Ver en: http://hdl.handle.net/2072/2028
Artículo científico antes de ser publicado, versión del autor (preprint)
Generalized backward doubly stochastic differential equations and SPDEs with nonlinear Neumann boundary conditions
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Boufoussi, Brahim, Van Casteren, Jan, Mrhardy, Naoual
In this paper, a new class of generalized backward doubly stochastic differential equations is investigated. This class involves an integral with respect to an adapted continuous increasing process. A probabilistic representation for viscosity solutions of semi-linear stochastic partial
differential equations with a Neumann boundary condition is given.
Ver en: http://hdl.handle.net/2072/2029
Artículo científico antes de ser publicado, versión del autor (preprint)
Quasi-Potency and Cyclic subgroup separability
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Burillo Puig, Josep, Martino, Armando
We study the profinite topology on discrete groups and in particular the property of cyclic subgroup separability. We investigate the class of quasi-potent, cyclic subgroup separable groups, producing many examples and showing how it behaves with respect to certain group constructions.
Ver en: http://hdl.handle.net/2072/2145
Artículo científico antes de ser publicado, versión del autor (preprint)
Distortion of wreath products in some finitely presented groups
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Cleary, Sean
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/2146
Artículo científico antes de ser publicado, versión del autor (preprint)
Infinite index subgroups and finiteness properties of intersections of geometrically finite groups
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Apanasov, Boris N.
We explore which types of finiteness properties are possible for intersections of geometrically finite groups of isometries in negatively curved
symmetric rank one spaces. Our main tool is a twist construction which takes as input a geometrically finite group containing a normal subgroup of infinite index with given finiteness properties and infinite Abelian quotient, and produces a pair of geometrically finite groups whose intersection is isomorphic to the normal subgroup.
Ver en: http://hdl.handle.net/2072/2149
Artículo científico antes de ser publicado, versión del autor (preprint)
Weak systems of Gandy, Jensen and Devlin
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Mathias, A.R.D.
In Part I, we formulate and examine some systems that have arisen in the study of the constructible hierarchy; we find numerous transitive models for them, among which are supertransitive models containing all ordinals that show that Devlin's
system BS lies strictly between Gandy's systems PZ and BST'; and we use our models to show that BS fails to handle even the simplest rudimentary functions, and is thus inadequate for the use intended for it in Devlin's treatise. In Part...
Ver en: http://hdl.handle.net/2072/2150
Artículo científico antes de ser publicado, versión del autor (preprint)
On moduli of smoothness of fractional order
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Tikhonov, Sergey Yu.
In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class.
Ver en: http://hdl.handle.net/2072/2151
Artículo científico antes de ser publicado, versión del autor (preprint)
Cat(0) and Cat (-1) dimensions of torsion free
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Brady, Noel, Crisp, John
We show that a particular free-by-cyclic group has
CAT(0) dimension equal to 2, but CAT(-1) dimension equal to 3.
We also classify the minimal proper 2-dimensional CAT(0) actions of this group; they correspond, up to scaling, to a 1-parameter family of locally CAT(0) piecewise Euclidean metrics on a fixed presentation complex for the group.
This information is used to produce an infinite family of 2-dimensional hyperbolic groups, which do not act properly by isometries on any proper CAT(0)...
Ver en: http://hdl.handle.net/2072/2152
Artículo científico antes de ser publicado, versión del autor (preprint)
On Boas-Type Problem
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Tikhonov, Sergey Yu.
R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class. From his findings it turned out, that the conditions on sine and cosine coefficients for belonging of function to Lip α(0 & α & 1) are the same, but for Lip 1 are different.
Later his results were generalized by many authors in the viewpoint of generalization of condition on the majorant of modulus of continuity.
The aim of this paper is to obtain Boas-type theorems for generalized...
Ver en: http://hdl.handle.net/2072/2153
Artículo científico antes de ser publicado, versión del autor (preprint)
Reduction, Linearization and stability of relative equilibria for mechanical systems on riemannian manifolds
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Bullo, Francesco, Lewis, Andrew D.
Consider a Riemannian manifold equipped with an infinitesimal isometry. For this setup, a unified treatment is provided, solely in the language of Riemannian geometry, of techniques in reduction, linearization, and stability of relative equilibria. In particular, for mechanical control systems, an explicit characterization is given for the manner in which reduction by an infinitesimal isometry, and linearization along a controlled trajectory "commute." As part of the development,...
Ver en: http://hdl.handle.net/2072/2156
Artículo científico antes de ser publicado, versión del autor (preprint)
Shellability of noncrossing partition lattices
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Athanasiadis, Christos A., Brady, Thomas, Watt, Colum
We give a case-free proof that the lattice of noncrossing partitions associated to any finite real reflection group is EL-shellable.
Shellability of these lattices was open for the groups of type Dn and those of exceptional type and rank at least three.
Ver en: http://hdl.handle.net/2072/2157
Artículo científico antes de ser publicado, versión del autor (preprint)
Minimal truncations of supersingular p-divisible groups
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Nicole, Marc-Hubert, Vasiu, Adrian
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/2163
Artículo científico antes de ser publicado, versión del autor (preprint)
Lower bounds for the number of limit cycles of trigonometric Abel equations
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Álvarez Torres, María Jesús, Gasull i Embid, Armengol, Yu, Jiang
"Vegeu el resum a l'inici del document del fitxer adjunt"
Ver en: http://hdl.handle.net/2072/2164
Artículo científico antes de ser publicado, versión del autor (preprint)
Refilling meridians in a genus 2 handlebody complement
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Scharlemann, Martin
Suppose a genus two handlebody is removed from a 3-manifold M and then a single meridian of the handlebody is restored. The result is a knot
or link complement in M and it is natural to ask whether geometric properties of the link complement say something about the meridian that was restored.
Here we consider what the relation must be between two not necessarily disjoint meridians so that restoring each of them gives a trivial knot or a split link.
Ver en: http://hdl.handle.net/2072/2165
Artículo científico antes de ser publicado, versión del autor (preprint)
Intersection Pairing and intersection motive of surfaces
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Wildeshaus, Jörg
We construct the Chow motive modelling intersection co-homology of a proper surface. We then study its functoriality properties. Using Murre's decompositions of the motive of a desingularization into KÄunneth components [Mr1], we show that such decompositions exist also for the intersection motive.
Ver en: http://hdl.handle.net/2072/2166
Artículo científico antes de ser publicado, versión del autor (preprint)
Limit Cycles for a class of three dimensional polynomial differential systems
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Llibre i Saló, Jaume, Yu, Jiang
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/2167
Artículo científico antes de ser publicado, versión del autor (preprint)
On the upper bound of the number of limit cycles obtained by the second order averaging method II
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Llibre i Saló, Jaume, Yu, Jiang
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/2168
Artículo científico antes de ser publicado, versión del autor (preprint)
On the upper bound of the number of limit cycles obtained by the second order averaging method I
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Llibre i Saló, Jaume, Yu, Jiang
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/2169
Artículo científico antes de ser publicado, versión del autor (preprint)
Limit cycles for cubic systems with a symmetry of order 4 and without in nite critical points
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Álvarez Torres, María Jesús, Gasull i Embid, Armengol, Prohens i Sastre, Rafel, J.
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/2170
Artículo científico antes de ser publicado, versión del autor (preprint)
Inverse Problems for multiple invariant curves
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Cristopher, Colin, Llibre i Saló, Jaume, Pantazi, Chara, Walcher, Sebastian
Planar polynomial vector fields which admit invariant algebraic curves, Darboux integrating factors or Darboux first integrals are of special interest. In the present paper we solve the inverse problem for invariant algebraic curves with a given multiplicity and for integrating factors, under generic assumptions regarding the (multiple) invariant algebraic curves involved. In particular we prove, in this generic scenario, that the existence of a Darboux integrating factor
implies Darboux...
Ver en: http://hdl.handle.net/2072/2172
Artículo científico antes de ser publicado, versión del autor (preprint)
Geometric tools to determine the hyperbolicity of limit cycles
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Guillamon i Grabolosa, Antoni, Sabatini, Marco
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/2174
Artículo científico antes de ser publicado, versión del autor (preprint)
Algebraic extensions in free groups
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Myasnikov, Alexei, Ventura, Enric, Weil, Pascal
The aim of this paper is to unify the points of view of three recent and independent papers (Ventura 1997, Margolis, Sapir and Weil 2001 and Kapovich and Miasnikov 2002), where similar modern versions of a 1951 theorem of Takahasi were given. We develop a theory of algebraic extensions for free groups, highlighting the analogies and differences with respect to the corresponding classical fieldt heoretic notions, and we discuss in detail the notion of algebraic closure. We apply that theory to...
Ver en: http://hdl.handle.net/2072/2180
Artículo científico antes de ser publicado, versión del autor (preprint)
Lp-solutions to BSDEs with super-linear growth coefficient. Application to degenerate semilinear PDEs.
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Bahlali, K., Essaky, E.H., Hassani, M., Pardoux, E.
We consider multidimensional backward stochastic differential equations (BSDEs). We prove the existence and uniqueness of solutions when the coefficient grow super-linearly, and moreover,
can be neither locally Lipschitz in the variable y nor in the variable z.
This is done with super-linear growth coefficient and a p-integrable terminal condition (p & 1). As application, we establish the existence and uniqueness of solutions to degenerate semilinear PDEs with superlinear growth generator...
Ver en: http://hdl.handle.net/2072/2191
Artículo científico antes de ser publicado, versión del autor (preprint)
Reflected Backward Stochastic Differential Equation with Jumps and RCLL Obstacle
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Essaky, E.H.
In this paper we study one-dimensional reflected backward stochastic differential equation when the noise is driven by a Brownian motion and an independent Poisson point process when the
solution is forced to stay above a right continuous left-hand limited obstacle. We prove existence and uniqueness of the solution by using a penalization method combined with a monotonic limit theorem.
Ver en: http://hdl.handle.net/2072/2192
Artículo científico antes de ser publicado, versión del autor (preprint)
Normal forms for rational difference equations with applications to the global periodicity problem
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Mañosa, Víctor, Rubió Massegú, Josep
We propose a classification and derive the associated normal forms for rational difference equations with complex coefficients.
As an application, we study the global periodicity problem for second order rational difference equations with complex coefficients. We find new necessary conditions as well as some new examples of globally periodic equations.
Ver en: http://hdl.handle.net/2072/2193
Artículo científico antes de ser publicado, versión del autor (preprint)
The density of injective endomorphisms of a free group
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Martino, Armando, Turner, Edward C., Ventura, Enric
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/2196
Artículo científico antes de ser publicado, versión del autor (preprint)
Periodic orbits in complex Abel equation
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Cima, Anna, Gasull i Embid, Armengol, Mañosas Capellades, Francesc
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/2215
Artículo científico antes de ser publicado, versión del autor (preprint)
Restricted walks in regular trees
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Ciobanu, Laura, Radomirovic, S.
Let T be the Cayley graph of a finitely generated free group F. Given two vertices in T consider all the walks of a given length between these vertices that at a certain time must follow a number of predetermined steps. We give formulas for the number of such walks by expressing the problem in terms of equations in F and solving the corresponding equations.
Ver en: http://hdl.handle.net/2072/3587
Artículo científico antes de ser publicado, versión del autor (preprint)
The third order Melnikov function of a quadratic center under quadratic perturbation
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Buica, A., Gasull i Embid, Armengol
We study quadratic perturbations of the integrable system (1+x)dH; where H =(x²+y²)=2: We prove that the first three Melnikov functions associated to the perturbed system give rise at
most to three limit cycles.
Ver en: http://hdl.handle.net/2072/3588
Artículo científico antes de ser publicado, versión del autor (preprint)
Asymptotics of orthogonal polynomials via the Koosis theorem
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Nazarov, F., Volberg, A., Yuditskii, P.
The main aim of this short paper is to advertize the Koosis theorem in the mathematical community, especially among those who study orthogonal polynomials. We (try to) do this by proving a new theorem about asymptotics of orthogonal polynomi-
als for which the Koosis theorem seems to be the most natural tool.
Namely, we consider the case when a SzegÄo measure on the unit circumference is perturbed by an arbitrary measure inside the unit disk and an arbitrary Blaschke sequence of point masses...
Ver en: http://hdl.handle.net/2072/3598
Artículo científico antes de ser publicado, versión del autor (preprint)
A rotation method which gives linear Lp-Estimates for powers of the Ahlfors-Beurling operator
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Dragicevic, O., Petermichl, S., Volberg, A.
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/3600
Artículo científico antes de ser publicado, versión del autor (preprint)
Quadratic perturbations of a quadratic reversible Lotka-Volterra System
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Li, Chengzhi, Llibre i Saló, Jaume
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/3601
Artículo científico antes de ser publicado, versión del autor (preprint)
Non compact euclidean cone 3-manifolds with cone angles less than 2∏
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Cooper, D., Porti Piqué, Joan
We study of noncompact Euclidean cone manifolds with cone angles less than c&2π and singular locus a submanifold. More precisely, we describe its structure outside a compact set. As a corol
lary we classify those with cone angles & 2π/3 and those with cone
angles = 2π/3.
Ver en: http://hdl.handle.net/2072/3602
Artículo científico antes de ser publicado, versión del autor (preprint)
Hopf bifurcation of a delay differential equation with two delays
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Llibre i Saló, Jaume, Tarta, A.
We consider a delay differential equation with two delays.
The Hopf bifurcation of this equation is investigated together with the stability of the bifurcated periodic solution, its period and the bifurcation direction. Finally, three applications are given.
Ver en: http://hdl.handle.net/2072/3612
Artículo científico antes de ser publicado, versión del autor (preprint)
The mean dehn functions of Abelian groups
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Bogopolski, O., Ventura, Enric
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/3614
Artículo científico antes de ser publicado, versión del autor (preprint)
Traverso's isogeny conjecture for p-divisible groups
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Nicole, Marc-Hubert, Vasiu, Adrian
"Vegeu el resum a l'inici del document adjunt."
Ver en: http://hdl.handle.net/2072/3655
Artículo científico antes de ser publicado, versión del autor (preprint)
Lipschitz harmonic capacity and Bilipschitz images of cantor sets
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Garnett, John B., Prat Baiget, Laura, Tolsa Domènech, Xavier
For bilipschitz images of Cantor sets in Rd we estimate the Lipschitz harmonic capacity and show this capacity is invariant under bilipschitz homeomorphisms.
Ver en: http://hdl.handle.net/2072/3656
Artículo científico antes de ser publicado, versión del autor (preprint)
Two algorithms to find a power integral basis
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
El Fadil, L.
"Vegeu el resum a l'inici del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/3657
Artículo científico antes de ser publicado, versión del autor (preprint)
Galois extension of CP-Graded ring extensions
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
El Fadil, L.
In this paper, we investigate galois theory of CP-graded ring extensions. In particular, we generalize some galois results given
in [1, 2] and, without restriction to nor graded fields nor torsion free of the grade groups, we show that some results of graded field extensions given in [3] hold.
Ver en: http://hdl.handle.net/2072/3700
Artículo científico antes de ser publicado, versión del autor (preprint)
Valuations, intersections et fonctions de Belyi
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Litcanu, R.
We present in this article several possibilities to approach the height of an algebraic curve defined over a number field : as an intersection number via the Arakelov theory, as a limit point of the heights of its algebraic points and, finally, using the minimal degree of Belyi functions.
Ver en: http://hdl.handle.net/2072/3701
Artículo científico antes de ser publicado, versión del autor (preprint)
Petits points et conjecture de Bogomolov
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Litcanu, R.
This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present the outline of Zhang’s proof of the generalized version of the conjecture. An explicit bound for the height of a non-torsion variety of an abelian variety is obtained in the frame of Arakelov theory. Some further developments are mentioned.
Ver en: http://hdl.handle.net/2072/3709
Artículo científico antes de ser publicado, versión del autor (preprint)
Semigroups of matrices of intermediate growth
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Cedó i Giné, Ferran, Okniski, Jan
Finitely generated linear semigroups over a field K that have intermediate growth are considered. New classes of such semigroups are found and a conjecture on the equivalence of the subexponential growth of a finitely generated linear semigroup S and the nonexistence of free noncommutative subsemigroups in S, or equivalently the existence of a nontrivial identity satisfied in S, is stated.
This ‘growth alternative’ conjecture is proved for linear semigroups of degree 2, 3 or 4. Certain results...
Ver en: http://hdl.handle.net/2072/3710
Artículo científico antes de ser publicado, versión del autor (preprint)
Polynomial and linearized normal forms for almost periodic differential systems
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Li, W., Llibre i Saló, Jaume, Wu, H.
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/3711
Artículo científico antes de ser publicado, versión del autor (preprint)
Hopf bifurcation for degenerate singular points of multiplicity 2n-1 in dimension 3
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Llibre i Saló, Jaume, Wu, H.
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/3712
Artículo científico antes de ser publicado, versión del autor (preprint)
Reduction of periodic difference systems to linear or autonomous ones
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Li, W., Llibre i Saló, Jaume, Wu, H.
We extend Floquet theory for reducing nonlinear periodic difference systems to autonomous ones (actually linear) by using normal form theory.
Ver en: http://hdl.handle.net/2072/3713
Artículo científico antes de ser publicado, versión del autor (preprint)
Classes of measures generated by capacities
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Dafni, G.E., Karadzhov, J., Xiao, J.
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/3714
Artículo científico antes de ser publicado, versión del autor (preprint)
Large deviation for BSDE with subdifferential operator
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Essaky, E.H.
In this paper we prove that the solution of a backward stochastic differential equation, which involves a subdifferential operator and associated to a family of reflecting diffusion processes, converges to the solution of a deterministic backward equation and satisfes a large deviation principle.
Ver en: http://hdl.handle.net/2072/3715
Artículo científico antes de ser publicado, versión del autor (preprint)
On the injectivity of the Kudla-Millson lift and surjectivity of the Borcherds lift
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Bruinier, Jan H., Funke, J.
We consider the Kudla-Millson lift from elliptic modular forms of weight (p+q)/2 to closed q-forms on locally symmetric spaces
corresponding to the orthogonal group O(p,q). We study the L²-norm of the lift following the Rallis inner product formula. We compute
the contribution at the Archimedian place. For locally symmetric spaces associated to even unimodular lattices, we obtain an explicit formula for the L²-norm of the lift, which often implies that the lift is injective. For O(p,2) we...
Ver en: http://hdl.handle.net/2072/3727
Artículo científico antes de ser publicado, versión del autor (preprint)
CM points and weight 3=2 modular forms
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Funke, J.
"Vegeu el resum a l'inici del document del fitxer adjunt."
Ver en: http://hdl.handle.net/2072/3728
Artículo científico antes de ser publicado, versión del autor (preprint)
Stable rank of leavitt path algebra
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Pardo, E., Ara i Bertrán, Pere
We characterize the values of the stable rank for Leavitt path algebras, by giving concrete criteria in terms of properties of the underlying graph.
Ver en: http://hdl.handle.net/2072/3737
Artículo científico antes de ser publicado, versión del autor (preprint)
The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-Algebras
Repositorio: Recercat. Dipósit de la Recerca de Catalunya
Brown, Nathanial P., Toms, Andrew S., Perera Domènech, Francesc
We prove that the Cuntz semigroup is recovered functorially from the Elliott invariant for a large class of C¤-algebras. In particular, our results apply to the largest class of simple C¤-algebras for which K-theoretic classification can be hoped for. This work has three significant consequences. First, it provides new conceptual insight into Elliott's classification program, proving that the usual form of the Elliott conjecture is equivalent, among Z-stable algebras, to a conjecture which...
Ver en: http://hdl.handle.net/2072/3738
Artículo científico antes de ser publicado, versión del autor (preprint)