Secciones
Usted está aquí: Inicio Biblioteca Papers de investigadores

Publicaciones del CMAT

Publicaciones de los docentes del Centro de Matemática

Rafael Potrie

Potrie, R (2013).

On the work of Jorge Lewowicz on expansive homeomorphisms

Publicaciones Matemáticas de Uruguay, 14:1-25.

 

Leer Más

Rafael Potrie

Fisher, T, Potrie, R, and Sambarino, M (2013).

Dynamical coherence for partially hyperbolic diffeomorphisms isotopic to Anosov in tori

Math. Z. :1-31.

 

Leer Más

Ezequiel Maderna

Maderna, E (2013).

Translation invariance of weak KAM solutions of the Newtonian N-body problem

Proc. Amer. Math. Soc., 141(8):2809-2816.

We consider in this note the Hamilton-Jacobi equation H(x, dx u) = c, where c ≥ 0, of the classical N -body problem in an Euclidean space E of dimension k ≥ 2. The fixed points of the Lax-Oleinik semigroup are global viscosity solutions for the critical value of the constant (c = 0) also called weak KAM solutions. We show that all these solutions are invariant under the action of E by translations on the space of configurations. We deduce the existence of non-invariant solutions for the super-critical equations (c > 0).

Leer Más

Ezequiel Maderna

Maderna, E (2013).

Minimizing configurations and Hamilton-Jacobi equations of homogeneous N-body problems

Regular and Chaotic Dynamics, 18(6):661-678.

For N-body problems with homogeneous potentials we define a special class of central configurations related with the reduction of homotheties in the study of homogeneous weak KAM solutions. For potentials in 1/r^a with 0<a<2 we prove the existence of homogeneous weak KAM solutions. We show that such solutions are related to viscosity solutions of another Hamilton-Jacobi equation in the sphere of normal configurations. As an application we prove for the Newtonian three body problem that there are no smooth homogeneous solutions to the critical Hamilton-Jacobi equation.

Leer Más

Treibich, A (2013).

Systèmes d'équations polynomiales pour les revêtements hyperelliptiques d-osculants

Comptes Rendus de l'Académie des Sciences Serie I Mathématiques.

 

Leer Más

Mariana Haim

Abella, A, Ferrer Santos, W, and Haim, M (2012).

Some constructions of compact quantum groups

Sao Paulo Journal of Mathematical Sciences, 6(1):1-40.

 

Leer Más

Mariana Haim

Haim, M, Iovanov, M, and Torrecilla, B (2012).

On two conjectures of Faith

Journal of Algebra, 367:166-175.

 

Leer Más

Rafael Potrie

Potrie, R (2012).

Recurrence of non-resonant homeomorphisms on the torus

Proceedings of the American Mathematical Society, 140(11):3973–3981.

 

Leer Más

Ezequiel Maderna

Maderna, E (2012).

On weak KAM theory for N-body problems

Ergodic Theory Dynam. Systems, 32(3):1019-1041.

We consider N-body problems with (1/r)^2κ potential where κ ∈ (0, 1), including the Newtonian case (κ = 1/2). Given R > 0 and T > 0, we find a uniform upper bound for the minimal action of paths binding in time T any two configurations which are contained in some ball of radius R. Using cluster partitions, we obtain from these estimates Hölder regularity of the critical action potential (i.e. of the minimal action of paths binding in free time two configurations). As an application, we establish the weak KAM theorem for these N-body problems, i.e. we prove the existence of fixed points of the Lax-Oleinik semigroup and we show that they are global viscosity solutions of the corresponding Hamilton-Jacobi equation. We also prove that there are invariant solutions for the action of isometries on the configuration space.

Leer Más

Avritzer, D, Pan, I, and González-Sprinberg, G (2012).

On singular quadratic complexes, quintic curves and Cremona transformations

Rend. Circolo Mat. di Palermo, 61(2):201-240.

 

Leer Más

Ferrer, W, Haim, M, and Abella, A (2012).

Some constructions of compact quantum groups

Sao Paulo Journal of mathematical sciences, 6(1):1-40.

The purpose of this paper is to consider some basic constructions in the category of compact quantum groups --for example de case of extensions, of Drinfeld twists, of matched pairs, of extensions, of linked pairs and of cocycle Singer pairs -- with special emphasis in the finite dimensional situation. We give conditions, in some cases necessary and sufficient, to extend to the new objects the original compact structure. We illustrate the results in the case of matched pairs of groups.

Leer Más

Diego Armentano

Armentano, D (2011).

A review of some recent results on Random Polynomials over R and over C

Publicaciones Matemáticas del Uruguay, 12:1-14.

This article is divided in two parts. In the first part we review some recent results concerning the expected number of real roots of random system of polynomial equations. In the second part we deal with a different problem, namely, the distribution of the roots of certain complex random polynomials. We discuss a recent result in this direction, which shows that the associated points in the sphere (via the stereographic projection) are surprisingly well-suited with respect to the minimal logarithmic energy on the sphere.

Leer Más

Pan, I (2011).

On the untwisting of general de Jonquières and cubo-cubic Cremona transformations of P^3

Contributions to Algebra and Geometry, 52:1-21.

 

Leer Más

Pan, I (2011).

On Cremona transformations of \P^3 which factorize in a minimal form

Rev. Unión Mat. Angentina.

We consider Cremona transformations of the complex projective space of dimension 3 which factorize as a product of at most two elementary links of type II, without small contractions, connecting two Fano 3-folds. We show that there are essentially eight classes of such transformations and we give a geometric description of elements in each of these classes.

Leer Más

Rittatore, A and Renner, L (2011).

The ring of regular functions of an algebraic monoid

Transactions of the American Mathematical Society, 363:6671 - 6683.

 

Leer Más

Bourel, M, Rittatore, A, and Dickenstein, A (2011).

Self-dual projective toric varieties

Journal of the London Mathematical Society-Second Series, 84(2):514-540.

Let T be a torus over an algebraically closed field k of characteristic 0, and consider a projective T-module P(V). We determine when a projective toric subvariety X of P(V) is self-dual, in terms of the configuration of weights of V.

Leer Más

Treibich, A (2011).

Non-linear evolution equations and hyperelliptic covers of elliptic curves

Regular and Chaotic Dynamics , 16(3-4):290-310.

 

Leer Más

Ferrer, W (2011).

Gerhard Hochschild (1915/2010) A Mathematician of the XXth Century

Boletín de la Academia Nacional de Ciencias.

Gerhard Hochschild's contribution to the development of mathematics in the XX century is succinctly surveyed. We start with a personal and mathematical biography, and then consider with certain detail his contributions to algebraic groups and Hopf algebras.

Leer Más

Ferrer, W and Moskowitz, M (2011).

Gerhard Hochschild (1915/2010) a mathematician of the XXth century

Notices of the American Mathematical Society.

 

Leer Más

Acciones de Documento