Noticias en español
Competition and Recall in Selection Problems.
Abstract: In this talk, I will present an extension of the prophet inequality problem to a competitive setting. At every period, a new sample from a known distribution arrives, which is publicly observed. Then, two players simultaneously decide whether to pick an available value or to pass and wait until the next period (ties are broken uniformly at random). As soon as a player gets one sample, he leaves the market, and his payoff is the value of the sample. In a first variant, namely no recall case, the agents can only bid in each period for the current value. In a second variant, the full...
Read MoreNon-existence results for an eigenvalue problem involving Lipschitzian nonlinearities with non-positive primitive and applications.
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Read MoreGeneralized formulations for the traveling salesman problem.
Abstract: The traveling salesman problem is a widely studied classical combinatorial problem for which there are several integer linear formulations. In this work, we consider the Miller-Tucker-Zemlin (MTZ) formulation. First, we argue that the choice of some parameters of this formulation is arbitrary and, therefore, there is a family of formulations of which MTZ is a particular case. We analyze this family, noting that in general the formulations involved are not comparable to each other and there is no one that dominates the rest. Then, we study the intersection of this family, which we...
Read MoreNonlocal Aggregation-Difusion Equations: entropies, gradient flows, phase transitions and applications.
Abstract: his talk will be devoted to an overview of recent results understanding the bifurcation analysis of nonlinear Fokker-Planck equations arising in a myriad of applications such as consensus formation, optimization, granular media, swarming behavior, opinion dynamics and nancial mathematics to name a few. We will present several results related to localized Cucker-Smale orientation dynamics, McKean-Vlasov equations, and nonlinear difusion Keller-Segel type models in several settings. We will show the existence of continuous or discontinuous phase transitions on the torus under...
Read MoreDetección Espectral de Especies Nativas a partir de datos Hiperespectrales HySpex y LiDAR en Bosques Templados al Sur de Chile.
Resumen: Al sur de Chile a 28 km de Valdivia, se encuentra el Parque Oncol. Este parque se ubica entre el Océano Pacífico y el Santuario de la Naturaleza Carlos Anwandter, el cual representa un Área de Alto Valor de Conservación (AAVC), de gran importancia ecológica para Arauco. Sus bosques de tipo templado lluvioso son un verdadero refugio para especies endémicas de flora y fauna, algunas de ellas en peligro de extinción actualmente. El objetivo de este estudio fue caracterizar la biodiversidad del Parque Oncol, mediante la detección espectral y clasificación de especies arbóreas usando...
Read MoreOn Space-Time Formulations and Boundary Integral Equations for the Wave Equation.
Abstract: Space-time discretization methods are becoming increasingly popular, since they allow adaptivity in space and time simultaneously, and can use parallel iterative solution strategies for time-dependent problems. However, in order to exploit these advantages, one needs to have a complete numerical analysis of the corresponding Galerkin methods. In this talk, we consider the wave equation with on a Lipschitz bounded domain, with either Dirichlet or Neumann boundary conditions, and with zero initial conditions. The first step to build the required numerical analysis was to show new...
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