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.
Quenched Voronoi percolation
Resumen: In a seminal work from 1999, Benjamini, Kalai and Schramm introduced a framework for studying sensitivity of Boolean functions with respect to small portions of noise. They moreover made a series of conjectures that have been highly influential for the development since. We will in this talk discuss the solution to one of these conjectures, concerning Voronoi percolation: Position a large number of points in the unit square and consider their Voronoi tessellation. Next, colour each cell either red or blue. The question is...
Mean equicontinuity and mean sensitivity
Abstract: We shall consider a weak form of the notion of equicontinuity in topological dynamics, which called mean equicontinuity. By some intensive study of the structure of the equicontinuous system, we solved an open problem of Scarpellini: for a mean equicontinuous system, any ergodic measure on it has the discrete spectrum. We also consider a local version of mean equicontinuity, which is called almost mean eqicontinuous, we can see this local property is quite different from the corresponding global one. We show that an almost...
Binary codes via 4D discrete Ihara-Selberg function
Abstract: We show how to express weight enumerator of each binary linear code as an infinite product. In the beginning of 60’s, this was done for a special case of the cycle space of the planar graphs by R. Feynman.
Un enfoque mixto para la optimización de políticas energéticas
RESUMEN: Existen variados enfoques clasicos utilizados para la optimizacion de politicas energeticas. Cada uno de ellos supone ciertos requerimientos, tales como la convexidad de las funciones de costo o restricciones sobre los procesos estocasticos, los cuales pueden resultar beneficiosos para el analisis teorico o de simulaciones pero perjudicuales a la hora de aplicar estos metodos en la vida real. Para enfrentar este problema, proponemos un enfoque mixto que incorpora la programacion dinamica y metodos de aprendizaje automatico: la...
The Landau-Lifshitz-Gilbert equation with rough initial data
Abstract: In this talk we will consider the Landau-Lifshitz-Gilbert equation, a model describing the dynamics for the spin in ferromagnetic materials. We will discuss the Cauchy problem with initial conditions that are not in the standard Sobolev spaces, but are in the BMO (bounded mean oscillation) space. By using the stereographic projection, this problem is related to the Cauchy problem for a nonlinear Schrodinger equation with rough initial data.
A non exchangeable coalescent arising in phylogenetics
Abstract: A popular line of research in evolutionary biology is to use time-calibrated phylogenies in order to infer the underlying diversification process. Most models of diversification assume that species are exchangeable and lead to phylogenetic trees whose shape is the same in distribution as that of a Yule pure-birth tree. Here, we propose a non-exchangeable, individual-based, point mutation model of diversification where interspecific pairwise competition (rate d) is always weaker than intraspecific pairwise competition (rate c), and...
Macro Connections
Abstract The rise of computational methods has generated a new natural resource. That new natural resource is data. While it is not clear if Big Data will open up trillion dollar markets, what it is clear is that making sense of visualizations are essential meaning out of. The capacity to create data visualizations, however, is not widespread. To help develop this capacity I have been working on the creation of Data Vizualization Engines, which are tools that allow people quickly visualize any portion of a large dataset and construct visual...
Schauder Estimates in Non-Linear Elliptic Equations
Abstract: (también adjunto en pdf) In this talk we treat about conditions for which is possible to get C2,α estimates for solutions of second order, uniformly elliptic, fully non-linear equations: F(D2u,X) = f(X).
Fair Linking Mechanisms for Resource Allocation with Correlated Player Types
Abstract: Resource allocation is one of the most relevant problems in the area of Mechanism Design for computing systems. Devising algo- rithms capable of providing efficient and fair allocation is the objective of many previous research efforts. Usually, the mechanisms they propose use payments in order to deal with selfishness. Since using payments is undesirable in some contexts, a family of mechanisms without pay- ments is proposed in this paper. These mechanisms extend the Linking Mechanism of Jackson and Sonnenschein introducing...
