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.

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Seminários anteriores

Data: 27/9/2023
Palestrante: Adrián González Casanova, University of California at Berkeley
Título: Sample duality

Data: 20/9/2023
Palestrante: Matteo D'Achille, LMO Université Paris-Saclay
Título: Almost Gibbsian Measures on a Cayley Tree

Data: 9/8/2023
Palestra Especial (presencial e online): Enrique Andjel
Lugar: Sala 232 IMPA
Título: One dimensional contact process with modified border conditions.

Data: 5/7/2023
Palestrante: Alessandra Occelli, Université d'Angers
Título: Universality of multi-component stochastic systems

Data: 28/6/2023
Palestrante: Márton Balázs, University of Bristol
Título: Blocking measures is a combinatorial goldmine

Data: 21/6/2023
Palestrante: Assaf Shapira, Université Paris Cité
Título: Topologically induced metastability in periodic XY chain

Data: 14/6/2023
Palestrante: Partha Dey, University of Illinois, Urbana-Champaign
Título: Curie-Weiss Model under $l^p$ constraint

Data: 07/06/2023
Palestrante: Clement Erignoux, INRIA, Lille
Título: Modelling active matter by active lattice gases : exact hydrodynamic description and phase transitions.

Data: 31/5/2023
Palestrante: Sylvie Méléard, École Polytechnique
Título: Exponent dynamics for branching processes.

Data: 24/5/2023
Palestrante: Lorenzo Bertini, La Sapienza, Roma
Título: On the probability of observing energy increasing solutions to the Boltzmann equation.

Data: 17/5/2023
Palestrante: Alex Dunlap, New York University
Título: The nonlinear stochastic heat equation in the critical dimension

Data: 10/5/2023
Palestrante: Kevin Yang, UC Berkeley
Título: Universality and well-posedness for a time-inhomogeneous KPZ equation

Data: 3/5/2023
Palestrante: Federico Sau, University of Trieste
Título: Spectral gap of the symmetric inclusion proces

Data: 26/4/2023
Palestrante: Fraydoun Rezakhanlou, Berkeley
Título: Kinetic Theory for Laguerre Tessellations

Data: 19/4/2023
Palestrante: Giuseppe Cannizzaro, University of Warwick and UKRI Future Leaders Fellow.
Título: Title: Weak coupling scaling of critical SPDES.

Data: 12/4/2023
Palestrante: Timo Seppalainen, University of Wisconsin
Título: Stationary horizon as the universal multitype stationary distribution Video

Data: 05/4/2023
Palestrante: Chiara Franceschini, University of Modena
Título: Two duality relations for Markov processes with an open boundary

Data: 29/3/2023
Palestrante: Stefan Grosskinsky, Augsburg
Título: Size-biased diffusion limits for the inclusion process

Data: 22/3/2023
Palestrante: Benoit Dagallier, Cambridge, UK
Título: Large deviations for out of equilibrium correlations in the symmetric simple exclusion process. Video

Data: 15/3/2023
Palestrante: Linjie Zhao, Wuhan University.
Título: The tagged particle in asymmetric exclusion process with long jumps. Video

Data: 8/3/2023
Palestrante: Jinho Baik, University of Michigan
Título: Multi-point distribution of periodic TASEP and differential equations. Video

Data: 1/3/2023
Palestrante: Mario Ayala, Technische Universität München (TUM).
Título: Fluctuation fields and orthogonal self-dualities.

Data: 22/2/2023
Palestrante: Minmin Wang, University of Sussex.
Título: Geometry of a large random intersection graph inside the critical window

Data: 15/2/2023
Palestrante: Eric Luçon, Université Paris Cité.
Título: How large is the mean-field framework ?

Data: 8/2/2023
Palestrante: Elena Kosygina, City University of New York
Título: Convergence and non-convergence of some self-interacting random walks to Brownian motion perturbed at extrema.

Data: 1/2/2023
Palestrante: Augusto Teixeira, IMPA.
Título: Phase transition for percolation with axes-aligned defects.

Data: 25/1/2023
Palestrante: Milton Jara, IMPA.
Título: Stein's method for Markovian martingales.

Data: 18/01/2023
Palestrante: Fabio Toninelli, Technical University of Vienna.
Título: An SPDE version of (W)ASEP in dimension d greater or equal to 2

Seminários de 2022

Seminários de 2021


  • IMPA
  • IST Lisboa
  • UBA
  • UFBA
  • UFMG
  • UFRJ
  • Unicamp
  • Universidade do Porto
  • USP

Comitê científico

  • Claudio Landim (IMPA)
  • Clément Erignoux (INRIA)
  • Inés Armendáriz (UBA)
  • Patrícia Gonçalves (IST)
  • Sunder Sethuraman (Arizona)