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: 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: 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: 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: 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 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...
We consider the Dirichlet-Ferguson (DF) measure, a random probability on a locally compact Polish space X introduced by Ferguson in [1]. The measure has ever since found many applications, widely rang...
Well-posedness is proved for singular semilinear SPDEs on a smooth bounded domain D in R^n. The linear part is associated to a coercive linear maximal monotone operator on L^2(D) while the drift is re...
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...
Let (Y_n,V_n) be i.i.d. distributed, with the components r and s-dimensional, respectively. Reflected random walk starting at a point x of the positive r-dimensional orthant is deï¬ned recursively b...
We consider a Poissonian distribution of particles performing independent simple random walks. Simultaneously, on top of this system, a random walker evolves with a drift to the right when it is on to...
