O Seminário de Probabilidade e Mecânica Estatística se reúne às quartas às 13h, horário de Brasília (16:00 UTC).
Data: 09/10/2024
Palestrante: Gabriel Nahum, INRIA Lyon
Título: Generalized Porous Media Model
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.
Data: 16/10/2024
Palestrante: Alan Hammond, UC Berkeley
Título: The Trail Of Lost Pennies: random turn games governed by stakes
Resumo: In 1987, Harris and Vickers [HV87] proposed a model of a race in which two firms invest resources, each trying to be the first to secure a patent. They called the model tug of war. A counter moves randomly left or right on an integer interval, with the odds of a rightward move at each turn determined by the resources expended by each of the firms at the turn. The game ends when the counter reaches one or another end of the interval, the patent thus accorded to one or another firm. In 2009, Peres, Schramm, Sheffield and Wilson [PSSW09] independently introduced a similar game, which they also named tug of war. Two players also push a counter on a board, with a trivial rule for turn victor selection, via the toss of a fair coin; but also with a much richer geometric setting: by considering the game played in the limit of small step size in a domain in Euclidean space, the value of the game was found to be infinity harmonic, namely to satisfy an infinity version of the usual Laplace equation. These two works, HV87 and PSSW09, have unleashed two big but thus far non-interacting waves of attention, from economists and mathematicians respectively. In this talk, we will discuss the Trail of Lost Pennies, which is a tug-of-war game played on the integers in which the resources that each player expends during the game are deducted from her terminal receipt. The solution of this game is remarkably sensitive to the relative incentives of the two players, with a change in incentive of order 10^{-4} being sufficient to fundamentally alter outcomes. Overall we will indicate how stake-governed tug-of-war may weave the two strands of research in economics and mathematics, with the geometrically richer mathematical setting being allied to the resource-based rules for turn victor that is characteristic of the economics research strand.
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
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Data: 02/10/2024
Palestrante: Daniel Kious, University of Bath
Título: Sharp threshold for the ballisticity of the random walk on the exclusion process
Data: 19/06/2024
Palestrante: Ivailo Hartarsky, Technische Universität Wien
Título: Bootstrap percolation is local
Data: 19/06/2024
Palestrante: Dieter Mitsche, Pontificia Universidad Católica de Chile
Título: Component sizes in spatial random graphs
Data: 12/06/2024
Palestrante: Hubert Lacoin, IMPA
Título: Strong disorder and very strong disorder are equivalent for directed polymers
Video
Data: 5/06/2024
Palestrante: Kavita Ramanan, University of Brown
Título: Quenched Hydrodynamic Limits for Interacting Jump Processes on Sparse Random Graphs
Video
Data: 29/05/2024
Palestrante: Nikos Zygouras, University of Warwick
Título: The Critical 2d Stochastic Heat Flow and other critical SPDEs
Video
Data: 15/05/2024
Palestrante: Stefano Olla, University of Paris-Dauphine, Gran Sasso Institute of Science (L’Aquila-Italy), Institut Universitaire de France
Título: Heat equation from a deterministic dynamics
Video
Data: 08/05/2024
Palestrante: Philippe Sosoe, Cornell U.
Título: Collapse for the infinite volume Phi_2^3 model
Video
Data: 24/04/2024
Palestrante: Alan Rapoport, Utrecht University
Título: Fermionic fields, Abelian sandpiles and uniform spanning trees: A connection
Video
Data: 10/04/2024
Palestrante: Georg Menz, UCLA
Título: The Positive Rates Conjecture in Nearest-Neighbor Cellular Automata
Video
Data: 03/04/2024
Palestrante: Hindy Drillick, Columbia University NY, USA
Título: The KPZ equation limit of random walks in random environments
Video
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
Video
Data: 20/03/2024
Palestrante: Clement Cosco, Université Paris Dauphine
Título: Directed polymers in random environment and the critical dimension
Video
Data: 06/03/2024
Palestrante: Ali Zahra, IST-Lisboa
Título: Asymmetric exclusion process with next nearest neighbor interaction
Video
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
Video
Data: 21/02/2024
Palestrante: Alexandre Stauffer, King's College London
Título: Mixing time of random walk on dynamical random cluster
Video
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