Top-level heading

Mixing of the Averaging process on graphs

The Averaging process (a.k.a. repeated averages) is a mass redistribution model over the vertex set of a graph. Given a graph G, the process starts with a non-negative mass associated to each vertex. ...

Long time asymptotic of action functionals

I will provide a self-contained variational approach to state some classical and new results in the framework of Aubry-Mather theory. More precisely, I will discuss the expansion by Gamma-convergence ...

On the cost of covering a fraction of a macroscopic body by a simple random walk.

In this talk we aim at establishing large deviation estimates for the probability that a simple random walk on the Euclidean lattice (d>2) covers a substantial fraction of a macroscopic body. It tu...

Travelling through turnpikes in the Kinetic Schrödinger Problem

The Schrödinger problem consists in finding the most likely evolution of a system of i.i.d. particles, conditionally on their initial and final configurations. In the last decade this problem has beco...

Sign-changing soluzions to overdetermined elliptic problems in bounded domains

In 1971 J. Serrin proved that, given a smooth bounded domain Ω⊂Rn and u a positive solution of the problem: −Δu=f(u) in Ω, u=0 on ∂Ω, ∂_νu= constant on ∂Ω, then Ω is necessarily a ball and u is radial...

A vertex-skipping property for perimeter almost-minimizers in convex containers

A crucial issue in capillarity-type problems is understanding the behavior of solutions near singular points in the boundary of the container. In the special case of the relative perimeter functional,...

Reverse Faber-Krahn inequality for a truncated laplacian operator

In this talk we will consider a reverse Faber-Krahn inequality for the principal eigenvalue μ_1(Ω) of the fully nonlinear operator P_{+N}u:=λ_N(D2u), where Ω⊂R^N is a bounded, open convex set, and λ_N...

Generic uniqueness for the Plateau problem

In [Inv. Math., 1978], Morgan proved that almost every curve in R^3 is the boundary of a unique area minimizing surface. I will show how to extend Morgan's result to surfaces of any dimension and codi...

The thresholding scheme for mean curvature flow and De Giorgi's ideas for gradient flows

The fact that the flow of a hypersurface by its mean curvature can be seen as a gradient flow of the surface area has motivated an influential minimizing movement scheme (Almgren-Taylor-Wang, Luckhaus...

Reconstruction of potentials from the Dirichlet-to-Neumann map.

We address the problem of reconstructing a real potential $V$ from the Dirichlet-to-Neumann map of a Schrödinger operator $-\Delta + V$ on the boundary of a domain in Euclidean space (the reconstructi...
Iscriviti a a.a. 2022-2023