Abstract: We introduce a gradient flow formulation of linear Boltzmann equations. Under a diffusive scaling we derive a diffusion equation by using the machinery of gradient flows. This is a joint wor...
Abstract: I will present a way to derive, via hydrodynamic limits, weak solutions to the 1D isothermal Euler equations in Lagrangian coordinates. This is obtained from a microscopic anharmonic chain w...
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...
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...
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...
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...
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...
Abstract: In this talk I will review the properties that classical (macroscopic) configurations of a physical system inherit from the underlying quantum (microscopic) configurations. A priori informat...
In recent years there has been a great interest in the phenomenon of economic inequality, especially in relation to its connection with other important aspects of an advanced economy, for example atti...
Replacing the integer parameter in the family of chi square distributions by a continuous parameter leads to the family of the gamma distributions. A similar phenomena occurs with the non central chi ...
