Abstract: In this talk I will discuss a family of Gibbsian measures on the set of Laguerre tessellations. These measures may be used to provide a systematic approach for constructing Gibbsian solution...
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: The talk will provide a compendium of ’zero-stiffness’ structures, describing three classes of structures that remain in a neutral state of equilibrium, even while they undergo large (an...
Abstract: Neurophysiologists are nowadays able to record from a large number of extracellular electrodes and to extract, from the raw data, the sequences of action potentials or spikes generated by ma...
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: 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: 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...
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: 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: 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 ...