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: 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 ...
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...
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...
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...
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 ...
In questo seminario studiamo la possibilità di ridurre la complessità di un sistema composto da un enorme numero di particelle interagenti. Partendo da un sistema di equazioni differenziali stocastich...
Discuterò due problemi, uno in dimensione finita e l'altro in dimensione infinita, che originano da classici risultati di Hopf-Samelson-Koszul e Kostant sulla struttura dell'algebra esterna di un'alge...
Si consideri un sistema macroscopico (fluido, ferromagnete), inizialmente non in equilibrio termodinamico e mantenuto sotto la temperatura critica. In una fase iniziale il sistema raggiunge rapidament...
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 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 superposition of a symmetric simple exclusion dynamics, speeded-up in time, with a spin-flip dynamics in a one-dimensional interval with periodic boundary conditions. We prove the larg...
