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Bogoliubov corrections and trace norm convergence for the Hartree dynamics

Abstract: We consider the dynamics of a large number N of interacting, nonrelativistic bosons in the mean field limit. In order to describe the fluctuations around the mean field Hartree state, we int...

W-algebre: dall'identità di Capelli alle gerarchie KdV.

Che legame c'à tra l'identità di Capelli, che descrive il centro dell'algebra inviluppante universale di gl_n, e la gerarchia KdV, la più nota gerarchia Hamiltoniana integrabile? E come possono essere...

Kinetic and hydrodynamic limits for chains of harmonic oscillators

Abstract: I will present two new results about macroscopic behavior of chains of harmonic oscillators.1) The strain, momentum and energy of a chain of harmonic oscillators with random masses, even out...

Emergent dynamics for a model of quantum synchronization

Abstract: In this talk I will discuss a model (introduced by Lohe, J. Phys. A 2010) describing quantum synchronization. More specifically, this is a system of coupled nonlinear Schrödinger equations w...

A test of Gaussianity based on the Euler characteristic of excursion sets

We deal with a stationary isotropic random field X:R^d→R and we assume it is partially observed through some level functionals. We aim at providing a methodology for a test of Gaussianity based on t...

The reset time of Internal DLA

Consider Internal DLA on cylinder graphs of the form GxZ. How does a large cluster typically look like? How long does it take for the process to forget its initial profile? In this talk I will address...

Stability of quantum many-body systems with point interactions

Abstract: We present a proof that a system of NN fermions interacting with an additional particle via point interactions is stable if the ratio of the mass of the additional particle to the one of the...

The Physics and Engineering of Active Matter

Abstract: Dense suspensions of swimming bacteria display striking motions that look extremely vivid when compared to the thermal agitation of colloidal particles of comparable size. These suspensions ...

Non-additive probability, integration and decision making

Frequently a decision maker (DM) does not have a full information about the underlying uncertainty. For instance, the information about the probability of some events might be missing, or the probabil...

Particle Creation at a Point Source by Means of Interior-Boundary Conditions

Abstract: We consider a way of defining quantum Hamiltonians involving particle creation and annihilation based on an interior-boundary condition (IBC) on the wave function, where the wave function is...

Stochastic equations for processes built from bounded generators

The generator for a pure jump process with bounded jump rate is a bounded operator on the space of measurable functions. For any such process, it is simple to write a stochastic equation driven by a P...

Uno schema semi-Lagrangiano per equazioni di Fokker-Planck non lineari e applicazioni

Nel seminario presenterò uno schema semi-Lagrangiano per equazioni non lineari di tipo Fokker-Planck. Lo schema è del primo ordine, conserva la non-negatività e l'integrale della massa, è esplicito e ...