Abstract: Entropy and irreversibility, two fundamental concepts underlying physical processes, and now also at the core of digital processes for simulation and evolution of artificial models. We will ...
Abstract: In recent years there has been a growing attention to machine learning models which are able to give explanatory insights on the decisions made by the algorithm. Thanks to their interpretabi...
Abstract: We discuss the convergence to the stationary distribution for non-local Markov chains on general spin systems on arbitrary graphs. We show that the relative entropy functional of the corresp...
Abstract: We consider Markovian dynamics on a typical realization of the so-called Directed Configuration Model (DCM), which is a random directed graph with prescribed in- and out-degrees. In this ran...
Abstract: The XY and the Villain models are models which exhibit the celebrated Kosterlitz-Thouless phase transitions in two dimensions. The spin wave conjecture, originally proposed by Dyson and by M...
Abstract: Activated Random Walk is a particle system displaying avalanches on all scales. How universal are these avalanches? I’ll narrate five interlocking conjectures aimed at different aspects of...
Abstract: The $\phi^4_3$ model is a 3-dimensional non-Gaussian Euclidean QFT. Showing existence of such a measure was one of the highlights of the constructive QFT programme in the '70s. In this talk ...
Abstract: From the Matsumoto Yor observation to stationary measures for a discrete KdV model Let F(x,y)=(u,v) from R2 into itself such that F∘F(x,y)=(x,y). The discrete Korteweg-de Vries model associa...
Abstract: Consideriamo un sistema di marce aleatorie cicliche (``random walk loop soup") in presenza di autointerazioni e di interazioni mutuali. Tale modello dipende da un parametro, la temperatura i...
Abstract: Stationary non equilibrium states (SNS) have a rich and complex structure. The large deviations rate functionals for the empirical measure of a few one dimensional SNS of stochastic interact...
Abstract: In this talk, we consider the symmetric inclusion process on a general finite graph. Our main result establishes universal upper and lower bounds for the spectral gap of this interacting par...
