O Seminário de Probabilidade e Mecânica Estatística se reúne às quartas às 13h, horário de Brasília (16:00 UTC).
Data: 04/10/2023
Palestrante: Davide Gabrielli, University of L'Aquila
Título: Solvable Stationary Non Equilibrium States
Resumo: Boundary driven stochastic lattice gases are simple but effective models for non equilibrium statistical mechanics. Apart special cases, as for example the zero range model where the stationary state is always of product type, they exhibit long range correlations. I will discuss a class of models for which it is possible, in the boundary driven case, to give a simple representation of the invariant measure in terms of mixtures of inhomogeneous product measures. This is true for the Kipnis Marchioro Presutti model and its dual and for a class of generalized zero range dynamics.
Data: 11/10/2023
Palestrante: Michael Conroy, University of Arizona
Título: Extreme values in the symmetric exclusion process
Resumo: In the one-dimensional exclusion system, a ?step? initial condition is one with infinitely many particles to the left and none to the right of a maximal one. Assuming symmetric, nearest-neighbor interaction, if we tag the right-most particle and follow its (properly scaled) position as time grows, we see a Gumbel limit distribution. Interestingly, this matches the behavior of the maximum of independent particles started from the same initial profile, as studied by Arratia (1983). Unlike with independent particles, proving the result for the exclusion process requires a careful analysis of pair-wise correlations, which rests on duality and negative association properties of symmetric exclusion. Limiting Gumbel distributions can also be obtained in higher dimensions by considering initial conditions where infinitely many particles occupy points in a half-space. This talk is based on joint work with Sunder Sethuraman.
O link de zoom é atualizado semanalmente antes de uma sessão de
seminário e é fornecido abaixo.
Se você se cadastrar na lista de discussão, receberá o link às segundas-feiras
Link de zoom:
https://impa-br.zoom.us/j/95805813232?pwd=Rnd4TU9pUTRhQm5xa0Mvb0gxa0xDUT09
ID da reunião: 958 0581 3232
Por favor, desligue seus vídeos pessoais para reduzir a largura de banda usada! Se você está tendo problemas com o zoom, também pode acessar via transmissão ao vivo do Youtube no canal: youtube.com/spmes
To subscribe to our mailing list for updates about the upcoming seminars and other events send an email to sbp+subscribe@impa.br