We consider the Kawasaki dynamics at inverse temperature beta for the Ising lattice gas on a two-dimensional square of length 2L+1 with periodic boundary conditions. We assume that initially the parti...
We discuss a general approach to understand phase separation and metastability in stochastic particle systems that exhibit a condensation transition. Condensation occurs when, above some critical dens...
The definition of vectors of dependent random probability measures is a topic of interest in applications to Bayesian statistics. Indeed, they can be used for identifying the de Finetti mixing measure...
The study of non-equilibrium systems has led to several mathematically rigorous and general results on the statistics of entropy production in non-equilibrium systems. These results are generally know...
Studies of non-equilibrium fluctuations have held a center stage during the past few decades of the development of non-equilibrium statistical mechanics. Indeed, macroscopic fluctuations are supposed ...
We study the boundary behaviour of the solutions of (E) \Delta_p u+|\nabla u|^q=0 in a domain \Omega \subset \mathbb R^N, when N\geq p> q>p-1. We first recall the results obtained in the case p=...
In this talk I shall discuss the rigorous derivation of a quasistatic evolution model for a thin plate in the framework of Prandtl-Reuss plasticity via Gamma-convergence techniques. The limiting model...
The starting point is a paper by L. Boccardo, F. Murat, J.P. Puel, where it is considered the zero Dirichlet boundary value problems associated to nonlinear elliptic equaltions with quadratic dependen...
We will describe recent results on the doubly parabolic Keller-Segel system in the plane, when the initial data belong to critical scaling-invariant Lebesgue spaces. We analyze the global existence of...
We consider a purely variational approach to time dependent problems, yielding the existence of global parabolic minimizers. These evolutionary variational solutions are obtained as limits of maps dep...
We study the theory of Scattering in the energy space for various nonlinear Schr?dinger equations. In dimension 3 or bigger we consider a variable coefficients equation, for a gauge invariant, defocus...
