Seminars

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 KPZ fixed point

Event Date: Oct 16, 2017 in Núcleo Modelos Estocásticos de Sistemas Complejos y Desordenados, Seminars

Abstract:    I will describe the construction and main properties of the KPZ fixed point, which is the scaling invariant Markov process conjectured to arise as the universal scaling limit of all models in the KPZ universality class, and which contains all the fluctuation behavior seen in the class. The construction follows from an exact solution of the totally asymmetric exclusion process (TASEP) for arbitrary initial condition. This is joint work with K. Matetski and J. Quastel.

Diferencias de género en las postulaciones a las universidades en Chile.

Event Date: Sep 06, 2017 in Education, Seminars

Resumen: Este trabajo estudia las diferencias de género en las postulaciones a las universidades del CRUCH en Chile. Se presenta un modelo que considera las reglas existentes para postular a las universidades, en el que se intenta identificar si la postulación es influenciada por las preferencias de hombres y mujeres o por el proceso mismo de selección. Se agrupan las carreras en áreas de estudio y las universidades en cuatro grupos de acuerdo a su grado de selectividad, se utiliza un modelo nested logit para predecir el par (área, grupo de...

The Contact Process on Evolving Scale-Free Networks

Event Date: Sep 04, 2017 in Seminars

Resumen: In this talk we present some results on the contact process running on large scale-free networks, where nodes update their connections at independent random times. We will show that depending on the parameters of the model we can observe either slow extinction for all infection rates, or fast extinction if the infection rate is small enough. This differs from previous results in the case of static scale-free networks where only the first behaviour is observed. We will also show that the analysis of the asymptotic form of the...

A glimpse on excursion theory for the two-dimensional continuum Gaussian free field.

Event Date: Aug 14, 2017 in Núcleo Modelos Estocásticos de Sistemas Complejos y Desordenados, Seminars

Resumen:   Based on joint work with Juhan Aru, Titus Lupu and Wendelin Werner. Two-dimensional continuum Gaussian free field (GFF) has been one of the main objects of conformal invariant probability theory in the last ten years. The GFF is the two-dimensional analogue of Brownian motion when the time set is replaced by a 2-dimensional domain. Although one cannot make sense of the GFF as a proper function, it can be seen as a “generalized function” (i.e. a Schwartz distribution). The main objective of this talk is to go...

An adverse selection approach to power pricing

Event Date: Aug 02, 2017 in Optimization and Equilibrium, Seminars

Abstract: We study the optimal design of electricity contracts among a  population of consumers with different needs. This question is tackled within the framework of Principal-Agent  problem in presence of adverse selection. The particular features of electricity induce an unusual  structure on the production cost, with no decreasing return to scale. We are nevertheless able to provide an  explicit solution for the problem at hand.  The optimal contracts are either linear or polynomial with  respect to the consumption. Whenever the outside...

Equidistribution of dilated curves.

Event Date: Jul 10, 2017 in Dynamical Systems, Seminars

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.

Actitudes y creencias sobre el aprendizaje: evidencia de California y Chile.

Event Date: Jul 05, 2017 in Education, Seminars

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...

Exit-time of a self-stabilizing diffusion

Event Date: Jun 27, 2017 in Núcleo Modelos Estocásticos de Sistemas Complejos y Desordenados, Seminars

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.

A link between the zeta function and stochastic calculus

Event Date: Jun 15, 2017 in Núcleo Modelos Estocásticos de Sistemas Complejos y Desordenados, Seminars

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.

Thermodynamics of small systems through a reversible and conservative discrete automaton.

Event Date: Jun 14, 2017 in Discrete Mathematics, Seminars

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...