Archivio 2019

Lunedì 21 Gen ore 15:00
presso Seminario I
seminario di fisica matematica
iniziato da circa un'ora
Development of a large fluctuation in a system with a singular distribution probability
Federico Corberi
In this seminar I will first set the stage by discussing the phenomenon, sometimes denoted as "condensation of fluctuations", whereby the probability distribution of certain physical quantities develops non-analytical points in the region of rare events. I will show that this is a quite general feature and I will review some simple statistical mechanical models where it is observed. I will discuss how an explanation of the phenomenon can be given in terms of the duality between large deviation events in the given model and typical events in a new and appropriately biased system. Then, I will turn to consider the problem of studying the evolution leading to a large fluctuation. I will do that by introducing and studying analytically a simple model of many identically and independently distributed microscopic variables evolving by means of a master equation. I will show that the process producing a non-typical fluctuation of a variable N is slow and characterized by the power-law growth of the largest possible observable value of N at a given time. I will discuss the analogy between such dynamical process and the slow kinetics observed in systems brought across a phase-transition.
16 Gen 2019
seminario di probabilità
nel ciclo di seminari
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16 Gen 2019
seminario di probabilità
nel ciclo di seminari
Stochastic PDEs
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16 Gen 2019
seminario di probabilità
nel ciclo di seminari
Mean-Field Games
Mean-Field Games - Lezione II
15 Gen 2019
seminario di probabilità
nel ciclo di seminari
Stochastic PDEs
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15 Gen 2019
seminario di probabilità
nel ciclo di seminari
Mean-Field Games
Mean-Field Games - Lezione I
15 Gen 2019
seminario di probabilità
nel ciclo di seminari
Stochastic PDEs
Stochastic PDEs - Lezione I
09 Gen 2019
Differential forms as derivatives of Alexander-Spanier cochains
Pierre Pansu