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.
Empoderar a grupos de trabajo en el aula: Una obligación que guía a los profesores de matemática en instituciones de acceso abierto en Chile
Resumen: Este estudio aborda cómo las interacciones entre profesores y grupos de trabajo se relacionan con las prácticas en sala y la toma de decisiones en la enseñanza de la matemática en instituciones de acceso abierto, en educación superior. Definimos las interacciones entre profesores y grupos de estudiantes desde el momento en que el profesor visita un grupo que trabaja en una tarea matemática específica, que en nuestro caso corresponden a actividades de resolución de problemas. La metodología es mixta y basada en dos conjuntos de...
Construction of geometric rough paths
Abstract: This talk is based on a joint work in progress with L. Zambotti (UPMC). First, I will give a brief introduction to the theory of rough paths focusing on the case of Hölder regularity between 1/3 and 1/2. After this, I will address the basic problem of construction of a geometric rough path over a given ɑ-Hölder path in a finite-dimensional vector space. Although this problem was already solved by Lyons and Victoir in 2007, their method relies on the axiom of choice and thus is not explicit; in exchange the proof is simpler....
3 SESIONES SEMINARIO OPTIMIZACION Y EQUILIBRIO
Expositores 16:00–16:30hrs Prof. Boulmezaoud, Tahar Zamene, Laboratoire de Mathématiques de Versailles, Université de Versailles, France Title: On Fourier transform and weighted Sobolev spaces Astract: We prove that Fourier transform defines a simple correspondance between weighted Sobolev spaces. As a consequence, we display a chain of nested invariant spaces over which Fourier transform is an isometry. &&&&& 16:30–17:00 hrs Prof. Lev Birbrair, Federal Univerisity of Ceara, Brazil Title: Resonance sequences. ...
Limits of sequences of maximal monotone operators.
Abstract: We consider a sequence of maximal monotone operators on a reflexive Banach space. In general, the (Kuratowski) lower limit of such a sequence is not a maximal monotone operator. So, what can be said? In the first part of the talk, we show that such a limit is a representable monotone operator while its Mosco limit, when it exists, is a maximal monotone operator. As an application of the former result, we obtain that the variational sum of two maximal monotone operators is a representable monotone operator. In the second part of the...
Existence results for equilibrium problem
Abstract: In this paper, we introduce certain regularizations for bifunctions, based on the corresponding regularization for functions, originally defined by J-P. Crouzeix. We show that the equilibrium problems associated to a bifunction and its regularizations are equivalent in the sense that they share the same solution set. Also, we introduce new existence results for the Equilibrium Problem, and we show some applications to minimization and Nash equilibrium...
Non-Parametric Bayesian Techniques for Spatial Temporal Models, Optimisation and Decision Making
Abstract: The use of Bayesian techniques for modelling spatial temporal phenomena has extensively increased over the last decade, providing flexibility and uncertainty quantification for inference and prediction. This talk focuses on how to place Gaussian Process models over complex phenomena and explores how the information from these models can be used for flexible uncertainty aware decision making. This talk provides examples of the application and advantages of using these techniques for environmental monitoring, quantitative social...
The KPZ fixed point
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.
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
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.
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...
