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.

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...

A new probabilistic interpretation of Keller-Segel model for chemotaxis, application to 1-d.

Event Date: Jun 13, 2017 in Núcleo Modelos Estocásticos de Sistemas Complejos y Desordenados, Seminars

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...

Event Date: May 24, 2017 in Education, Seminars

Resumen: En Chile los estudiantes con discapacidad intelectual (DI) asisten a escuelas especiales o a escuelas regulares con Programas de Integración Escolar. Aun cuando se cuenta con datos referidos a su acceso al sistema educativo, poco se conoce respecto a las oportunidades de aprendizaje (ODA) que se proporcionan a estos estudiantes, menos aún en matemáticas. Usando la metodología de estudio de casos múltiple se ha avanzado en una primera descripción de las ODA que se proveen en matemáticas a estudiantes con DI en escuelas especiales. Se...

INTRODUCTION TO FORMAL VERIFICATION

Event Date: May 23, 2017 in Other Areas, Seminars

ABSTRACT:   Software is pervasive. In particular, a lot of programs are nowadays produced to be executed in safety critical contexts. It is crucial to certify these programs. There are several methods of certification. By far the most used is testing. But testing can be costly, and more importantly, it only covers a finite number of cases. Formal verification is a vastly different approach: it aims at building a mathematical proof that the program meets its specification, thus covering all possible cases. To increase the level of...

Development and Evaluation of an Internet-Based Tutorial Module (i-TModule) For Statistics Learning Among Postgraduate Students

Event Date: Apr 26, 2017 in Education, Seminars

Abstract: Because students’ ability to use statistics, which is mathematical in nature, is one of the concerns of instructors embedding within an e-learning system the pedagogical characteristics of learning is ‘value added’. It could facilitate the traditional method of learning mathematics which is usually a teacher-centered. Nowadays, many different types of online learning platform and Learning Management Systems, LMSs, (such as Moodle) are used in the teaching and learning process especially in universities, but there is a lack of...

TOPOLOGICAL DYNAMICS OF PIECEWISE Λ-AFFINE MAPS OF THE INTERVAL

Event Date: Apr 17, 2017 in Dynamical Systems, Seminars

ABSTRACT: Let 0 < a < 1, 0 ≤ b < 1 and I = [0,1). We call contracted rotation the interval map φa,b : x ∈ I → ax+b mod1. Once a is fixed, we are interested in the dynamics of the one-parameter family φa,b, where b runs on the interval interval [0, 1). Any contracted rotation has a rotation number ρa,b which describes the asymptotic behavior of φa,b. In the first part of the talk, we analyze the numerical relation between the parameters a, b and ρa,b and discuss some applications of the map φa,b. Next, we introduce a generalization of...

Quantitative multiple recurrence for two and three transformations.

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

Abstract:  In this talk I will provide some counter examples for quantitative multiple recurrence problems for systems with more than one transformation.  For instance, I will show that there exists an ergodic system $(X,\mathcal{X},\mu,T_1,T_2)$ with two commuting transformations such that for every $\ell < 4$ there exists $A\in \mathcal{X}$ such that  $\mu(A\cap T_1^n A\cap T_2^n A) < \mu(A)^{\ell}$  for every $n \in \mathbb{N}$.   The construction of such a system is based on the study of “big” subsets of...