Noticias en español
Equidistribution of dilated curves.
Resumen: Consider a light source located in a polynomial room. It is a classic question whether the whole room is illuminated by the light. This question was recently settled by Lelievre, Monteil and Weiss. In this talk, we study the variation on the illumination problem introduced by Chaika and Hubert in the context of closed curves on nilmanifolds. We give necessary and sufficient conditions for a nilmanifold being illuminated by a curve.
Read MoreActitudes y creencias sobre el aprendizaje: evidencia de California y Chile.
Abstracts: Si bien hay consenso sobre la importancia de las habilidades socio-emocionales para el desarrollo académico y social de los estudiantes, hay poca claridad sobre cuáles son estas habilidades, cuánto impacto tienen en el aprendizaje de cada sector y cómo se distribuyen en la población. En esta presentación revisaremos cuánto importan para el aprendizaje de matemáticas y lenguaje dos dimensiones socio-emocionales: mentalidad de crecimiento y manejo de emociones, y cómo se distribuyen en poblaciones de California y Chile en distintas edades...
Read MoreExit-time of a self-stabilizing diffusion
Resumen: In this talk, we briefly present some Freidlin and Wentzell results then we give a Kramers’type law satisfied by the McKean-Vlasov diffusion when the confining potential is uniformly strictly convex. We briefly present two previous proofs of this result before giving a third proof which is simpler, more intuitive and less technical.
Read MoreA link between the zeta function and stochastic calculus
Abstract: The study of the zeros of the Riemann zeta function constitutes one of the most challenging problems in mathematics. A large literature in devoted to the study of the behavior of the zeta zeros. We will discuss how tools from stochastic analysis, and in particular from Malliavin calculus (multiple integrals, Wiener chaos, Stein method etc) can be used in the study of some aspects of the behavior of the zeta function.
Read MoreThermodynamics of small systems through a reversible and conservative discrete automaton.
Abstract: The focus of this talk will be the Q2R model which is a reversible and conservative cellular automaton. The Q2R model possesses quite a rich and complex dynamics. Indeed, the configuration space is composed of a huge number of cycles with exponentially long periods, that we attempt to characterize. Furthermore, a coarse-graining approach is applied to the time series of the total magnetization, leading to a master equation that governs the macroscopic irreversible dynamics of the Q2R automata. The methodology is replicated for various system sizes. In the case of small systems, we...
Read MoreA new probabilistic interpretation of Keller-Segel model for chemotaxis, application to 1-d.
Resumen: The Keller Segel (KS) model for chemotaxis is a two-dimensional system of parabolic or elliptic PDEs. Motivated by the study of the fully parabolic model using probabilistic methods, we give rise to a non-linear SDE of McKean-Vlasov type with a highly non standard and singular interaction kernel. In this talk I will briefly introduce the KS model, point out some of the PDE analysis results related to the model and then, in detail, analyze our probabilistic interpretation in the case d=1. This is a joint work with Denis Talay (TOSCA team, INRIA Sophia-Antipolis...
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