Abstract: I will discuss the scattering problem for a quantum particle in dimension three in the presence of a semitransparent unbounded obstacle, modeled by a surface. The generator of the dynamics i...
Abstract: I will discuss the scattering problem for a quantum particle in dimension three in the presence of a semitransparent unbounded obstacle, modeled by a surface. The generator of the dynamics i...
Abstract: The Boltzmann equation without angular cutoff is considered when the initial data is a perturbation of a global Maxwellian with algebraic decay in the velocity variable. Global solution is p...
We define, via Dirichlet forms' theory, a geometric diffusion process on the L^2-Wasserstein space over a closed Riemannian manifold. The process is associated with the Dirichlet form induced by the L...
The talk will focus on homogenization problem for a family of zero order non-local convolution type operators that satisfy proper moment and ellipticity conditions. Under the assumptions that the coef...
This talk will focus on the question of the physical contents of the Gibbs-Shannon entropy outside equilibrium. It will be based on the article Gavrilov-Chetrite-Bechhoeffer, Direct measurement of wea...
We present general tools to prove the central limit theorem for addive functionals of Markov processes and discuss in some detail the application to diffusions in periodic or random enevironment....
We discuss homogenization for diffusion processes in stationary random environment and several characterizations of the homogenized diffusion coefficient....
This course focuses on various mathematical aspects of lattice dimer models. These are very classical two-dimensional statistical mechanics models, that are exactly solvable in some sense (Kasteleyn, ...
The first part of the presentation is a short review of a statistical mechanics model of point vortices for the 2D Euler equations and their mean field limit. In the second part we outline a proof of ...
The Miller-Abrahams random resistor network is used to study electron transport in amorphous solids. This resistor network is given by the complete random graph built on a marked homogeneous Poisson p...
