SPMES: Generalized Porous Media Model - Gabriel Nahum

Seminário de Probabilidade e Mecânica Estatística
Título: Generalized Porous Media Model
Palestrante: Gabriel Nahum, INRIA Lyon
Playlist dos videos: bit.ly/30ZkHWe
Resumo: In this talk, I am going to present a generalization of the Porous Media Model (PMM) analogue of the Bernstein polynomial basis, in the context of gradient models. The PMM is a symmetric nearest-neighbour process associated with the Porous Media Equation, and the corresponding dynamics are kinetically constrained, in the sense that particles diffuse in the lattice under a set of conditions on local configurations. While in the PMM, the occupation values of two neighbouring sites are exchanged only if there are "enough" groups of particles around them, our generalized model describes a system where, at very low densities, there is no interaction, while at high densities, there is no space for movement. I am going to present the construction of the model and its main properties, and, if time permits, discuss its extension in a long-range interaction context.
Apoio:
IMPA
Instituto Superior Técnico de Lisboa
UFBA
UFMG
UFRGS
UFRJ
Unicamp
Universidade do Porto
USP
Comitê científico:
Luiz Renato Fontes (USP)
Tertuliano Franco (UFBA)
Nancy Lopes Garcia (Unicamp)
Patrícia Gonçalves (IST, Lisboa)
Marcelo Hilário (UFMG)
Roberto Imbuzeiro (Coordenador, IMPA)
Claudio Landim (Coordenador, IMPA)
Adriana Neumann (UFRGS)
Serguei Popov (UP, Porto)
Glauco Valle (UFRJ)
Redes Sociais do IMPA: linktr.ee/impabr
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