Noticias en español
Seminars appear in decreasing order in relation to date. To find an activity of your interest just go down on the list. Normally seminars are given in English. If not, they will be marked as Spanish Only.
The Schur property over some Lipschitz-free spaces.
Abstract: Adjunto.
Shearer’s inequality and the Infimum Rule
Abstract: We review subbadditivity properties of Shannon entropy, in particular, from the Shearer’s inequality we derive the infimum ruleâ for actions of amenable groups. We briefly discuss applicability of the infimum formula to actions of other groups. Then we pass to topological entropy of a cover. We prove Shearer’s inequality for disjoint covers and give counterexamples otherwise. We also prove that, for actions of amenable groups, the supremum over all open covers of the infimum fomula gives correct value of...
New techniques for pressure approximation in Z^d shift spaces
ABSTRACT: Given a Z^d shift of finite type and a nearest-neighbour interaction, we present sufficient conditions for efficient approximation of pressure and, in particular, topological entropy. Among these conditions, we introduce a combinatorial analog of the measure-theoretic property of Gibbs measures known as strong spatial mixing. The approximation techniques make use of a special representation theorem for pressure that may be of independent interest. Part of this talk is joint work with Stefan Adams, Brian Marcus, and Ronnie...
On the Convergence of Projection Method for Co-coercive Variational Inequalities
Abstract: We revisit the basic projection method for solving co-coercive variational inequalities in real Hilbert spaces. The weak and the strong convergence for the iterative sequences generated by this method are studied. We also propose several examples to analyze the obtained results. This is a joint work with Phan Tu Vuong.
Nonconvex sweeping processes involving maximal monotone operators
Abstract: By using a regularization method, we study in this paper the global existence and uniqueness property of a new variant of nonconvex sweeping processes involving maximal monotone operators. The system can be considered as a maximal monotone differential inclusion under a control term of normal cone type forcing the trajectory to be always contained in the desired moving set. When the set is fixed, one can show that the unique solution is right-differentiable everywhere and its right-derivative is right-continuous.
Junction of models of different dimension: applications in biology and engineering
ABSTRACT: The partial differential equations (PDEs) set in thin structures are considered. These domains are some finite unions of thin rectangles (in 2D settings) or cylinders (in 3D settings) depending on small parameter epsilon << 1 that is, the ratio of the thickness of the rectangle (cylinder) to its length. An asymptotic analysis of the solutions of these PDEs is applied for justification of the method of asymptotic partial decomposition of domain (MAPDD) introduced in [1] and developed in [2-3]. This method reduces the 2D or 3D...
El papel de las Trayectorias de Aprendizaje en el desarrollo de la competencia docente “mirar profesionalmente” las situaciones de enseñanza-aprendizaje de las matemáticas.
Resumen: Algunas investigaciones en educación matemática en los últimos años están prestando gran atención a la idea de Trayectoria de Aprendizaje de los estudiantes (Learning Trajectory). Como consecuencia, se ha generado interés por explorar formas en las que el aprendizaje por parte de los estudiantes para profesor de matemáticas de trayectorias de aprendizaje de tópicos matemáticos específicos puede apoyar el desarrollo de la competencia docente “mirar profesionalmente las situaciones de enseñanza-aprendizaje de las...
Towards understanding the Milky Way with LSST and Gaia
Abstract: I will provide a brief update on the progress of LSST construction, and my work on running end-to-end tests of the nightly image difference processing. I will also describe my scientific focus on the formation of the Milky Way and how the Gaia satellite is giving us the clearest picture of this process to date. With Gaia our raw data on the Milky Way will soon outpace our statistical tools for analyzing these data in a cosmological context, and I will highlight some open questions which could benefit the most from a comprehensive...
TWO-VALUED ENSEMBLE OF THE GAUSSIAN FREE FIELD.
ABSTRACT: The goal of this talk is to understand thin local sets of the continuous Gaussian free filed (GFF) in a domain of R^2, whose corresponding harmonic function takes only two values. We give a characterization of these sets and use it to show that in some sense they are maximal in a bigger class of local sets, where we only ask the function to be bounded. Important corollaries of this work are new constructions of the Conformal Loop Ensemble CLE_4 and a new perspective on the two known couplings between CLE_4 and the GFF. Joint work...
Una Perspectiva Sociopolítica a las Prácticas de Enseñanza de las Matemáticas
RESUMEN El estudio de las prácticas de enseñanza de las matemáticas es de interés reciente en la comunidad de educación matemática (Perrin-Glorian, Beblois & Robert, 2008). En contraste con la cantidad de trabajos relacionados con el aprendizaje de esta disciplina, investigadores en el campo se han concentrado principalmente en la búsqueda y caracterización de modelos de enseñanza que mejoren los resultados de aprendizaje (Hiebert & Grows, 2007). Desde diversas perspectivas se han caracterizado las prácticas de enseñanza de las...
