Programação

O Seminário de Probabilidade e Mecânica Estatística se reúne às quartas às 13h, horário de Brasília (16:00 UTC).

Data: 27/03/2024
Palestrante: Alessandra Faggionato, Università di Roma La Sapienza
Título: An ergodic theorem with weights and applications to random measures, RW homogenisation and IPS hydrodynamics
Resumo: Birkhoff's ergodic theorem is a cornerstone in Mathematics, with a huge range of applications. We present here an extended form of the multidimensional ergodic theorem with weights, which allows to derive large scale averaging of stationary ergodic random measures on R^d, also when the testing observables are not compactly supported. This control at infinity of random measures plays a crucial role when analysing the large scale behaviour of RWs and IPSs on weighted random graphs on R^d built on simple point processes. In particular, this allows us to obtain homogenization and hydrodynamics under weaker conditions. We will then discuss several examples in order to emphasize the universality of our results.

Data: 03/04/2024
Palestrante: Hindy Drillick, Columbia University NY, USA
Título: The KPZ equation limit of random walks in random environments
Resumo: In this talk, we will consider two models for diffusing particles in time-dependent random environments: the discrete random walk in random environment (RWRE) and a continuum scaling limit of the RWRE called sticky Brownian motion. We will present some recent results on the weak convergence of both models to the KPZ equation in the moderate deviation regime. We will also discuss an application to the fluctuations of the maximal particle in these models. This is joint work with Sayan Das and Shalin Parekh.

Data: 10/04/2024
Palestrante: Georg Menz, UCLA
Título: The Positive Rates Conjecture in Nearest-Neighbor Cellular Automata
Resumo: A cellular automaton describes a process in which cells evolve according to a set of rules. Which rule is applied to a specific cell only depends on the states of the neighboring and the cell itself. Considering a one-dimensional cellular automaton with finite range, the positive rates conjecture states that and under the presence of noise the associated stationary measure must be unique. We restrict ourselves to the case of nearest-neighbor interaction where simulations suggest that the positive rates conjecture is true. After discussing a simple criterion to deduce decay of correlations, we show that the positive rates conjecture is true for almost all nearest-neighbor cellular automatons. The main tool is comparing a one-dimensional cellular automaton to a properly chosen two-dimensional Ising-model. We outline a pathway to resolve the remaining open cases. This presentation is based on collaborative work with Maciej Gluchowski from the University of Warsaw and Jacob Manaker from UCLA

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

Contato

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Seminários anteriores

Data: 06/03/2024
Palestrante: Ali Zahra, IST-Lisboa
Título: Asymmetric exclusion process with next nearest neighbor interaction
Data: 28/02/2024
Palestrante: Quentin Berger, LPSM, Sorbonne Université, and DMA, Ecole Normale Supérieure, Paris
Título: Some results about the Ising model on a Galton-Watson tree
Data: 21/02/2024
Palestrante: Alexandre Stauffer, King's College London
Título: Mixing time of random walk on dynamical random cluster

Data: 07/02/2024
Palestrante: Gunter Schütz is Professor of Physics at Bonn University and Research Scientist at the Forschungszentrum Jülich.
Título: Mesoscale mode coupling theory for the weakly asymmetric simple exclusion process
Video

Data: 24/01/2024
Palestrante: Guilherme Silva, ICMC, USP São Carlos
Título: Random matrices: from Painlevé to KPZ
Video

Data: 17/01/2024
Palestrante: Christophe Garban, Camille Jordan Institute
Título: Fluctuations of the Discrete Gaussian Chain
Video

Data: 20/12/2023
Palestrante: Julian Kern, Weierstrass Institute
Título: TASEP's big brother: the totally asymmetric long jump asymmetric exclusion process (TALJEP)
Video


Data: 6/12/2023
Palestrante: Alessia Nota, L'Aquila University
Título: On the Smoluchowski equation for aggregation phenomena: stationary non-equilibrium solutions
Video


Data: 29/11/2023
Palestrante: Alberto Chiarini, University of Padova
Título: How efficiently does a simple random walk cover a portion of a macroscopic body?
Video


Data: 15/11/2023
Palestrante: Sonia Velasco, Université Paris-Cité
Título: Quasi-potential for the one dimensional SSEP in weak contact with reservoirs
Video


Data: 08/11/2023
Palestrante: Arjun Krishnan, University of Rochester, New York
Título: On the phase diagram of the polymer model
Video

Data: 01/11/2023
Palestrante: Santiago Saglietti, Pontificia Universidad Católica de Chile
Título: Scaling limit of the heavy-tailed ballistic deposition model with p-sticking
Video

Data: 25/10/2023
Palestrante: Avelio Sepúlveda, Universidad de Chile
Título: On the discrete Coulomb gas
Video

Data: 18/10/2023
Palestrante: Paul Chleboun, University of Warwick
Título: Mixing times for Facilitated Exclusion Processes
Video

Data: 11/10/2023
Palestrante: Michael Conroy, University of Arizona
Título: Extreme values in the symmetric exclusion process
Video

Data: 04/10/2023
Palestrante: Davide Gabrielli, University of L'Aquila
Título: Solvable Stationary Non Equilibrium States
Video

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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
Video

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

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.
Video

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

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

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.
Video

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

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

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
Video

Seminários de 2022

Seminários de 2021

Apoio

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

Comitê científico

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