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Beyond Diophantine Wannier diagrams: gap labelling for Bloch-Landau Hamiltonians

Abstract: In 1978 Wannier discovered a Diophantine relation expressing the integrated density of states of a gapped group of bands of the Hofstadter Hamiltonian as a linear function of the magnetic fi...

Nonlinear Gibbs measures and their derivation from many-body quantum mechanics

Abstract: In this talk I will define and discuss some probability measures in infinite dimensions, which play an important role in (S)PDE, in Quantum Field Theory and for Bose-Einstein condensates. Th...

Global well-posedness of the Non-cutoff Boltzmann Equation with Polynomial Decay Perturbations

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...

Scattering from local deformations of a semitransparent plane

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...

A variational characterization of the Sine- β point process

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...

Nested Group Testing Procedures and Generalized GT Problem

Group testing has its origins in the identication of syphilis in the US army during World War II. It is a useful method that has broad applications in medicine, engineering, and even in airport securi...

Enhanced Sanov theorem for Brownian rough paths and an application to interacting particles

We establish a Sanov type large deviation principle for an ensemble of interacting Brownian rough paths. As application a large deviations principle for the (k-layer, enhanced) empirical measure of we...

Invariance principle for the degenerate dynamic random conductance model.

After the brilliant result of Papanicolau and Varadhan (1979) in the case of bounded stationary and ergodic environments, there has been a recent upsurge in the research of quenched homogenization in ...

On time correlations for last passage percolation models

We study time correlations of last passage percolation (LPP), a model in the Kardar-Parisi-Zhang universality class, with three different geometries: step, flat and stationary. We prove the convergenc...

Limit Theorems and Random Fractal Curves in Statistical Mechanics

Rigorous statistical mechanics deals with stochastic systems that have a large number of components and for which geometry often plays an important role. The main goal is to understand their average b...
Iscriviti a a.a. 2018-2019