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Weak coupling scaling of critical SPDEs

ABSTRACT: The study of stochastic PDEs has known tremendous advances in recent years and, thanks to Hairer's theory of regularity structures and Gubinelli and Perkowski's paracontrolled approach, (loc...

Il vuoto e la cicloide: Torricelli e Pascal

Le implicazioni fisiche del vuoto torricelliano conducono Pascal, 1647, a una disputa con il gesuita E. Noël sulla natura del vuoto, fra la Fisica aristotelica e la Fisica moderna, e ad esprimere...

A holographic index theorem and applications to scalar curvature geometry

In the first part of the talk I will discuss a "holographic" index theorem for compact manifolds with boundary. It relates the index of a boundary value problem to the index of an operator on the boun...

Investigating Multi-lane Traffic Flow Models: from Micro to Macro

This talk is devoted to the modeling and stability of multi-lane traffic flow in both microscopic and macroscopic frameworks. Firstly, we explore the dynamics of lane changing in microscopic variables...

Mixing time of random walk on dynamical random cluster

Abstract: We consider a random walk jumping on a dynamic graph; that is, a graph that changes at the same time as the walker moves. Previous works considered the case where the graph changes via dynam...

A Harnack type inequality for singular Liouville type equations

We are concerned with a generalization to the singular case of a result of C.C. Chen e C.S. Lin [Comm. An. Geom. 1998] for Liouville-type equations with rough potentials. The singular problem is actua...