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Spectral asymptotics for discrete metastable diffusions via Witten complex techniques

I will consider a metastable diffusion moving in a multiwell potential on the rescaled n-dimensional integer lattice. From a purely spectral point of view metastability effects correspond to the prese...

POD A-Posteriori Error Estimation for PDE Constrained Optimization

In this talk an a-posteriori error analysis for optimal control problems is discussed. In particular, the error analysis is applied to reduced-order Galerkin approximations for the optimal control pro...

Optimal control in economics: the resource curse model case

The term "resource curse phenomenon" refers to countries with an abundance of natural resources, in particular nonrenewable ones such as minerals or fuels, that tend to have less economic growth and w...

Stability results for the semisum of sets in

Given a Borel A in \mathbb{R}^n of positive measure, one can consider its semisum S=(A+A)/2. It is clear that S contains A, and it is not difficult to prove that they have the same measure if and only...

Asymptotics for critical nonlinear dispersive equations and Universality properties

We consider various examples of critical nonlinear partial differential equations which have the following common features: they are Hamiltonian, of dispersive nature, have a conservation law invarian...

Omogeneizzazione stocastica di equazioni di tipo porous medium

In un recente lavoro, Ambrosio, Frid e Silva studiano un problema di omogeneizzazione per una classe di equazioni di tipo porous medium in cui la funzione flusso è un processo stocastico stazionario s...

Numerical Simulation of Quasi-Geostrophic Turbulence

Il modello quasi-geostrofico è uno tra i piè semplici modelli volto alla descrizione della circolazione atmosferica per i flussi a larga scala extra-tropicali (scale sinottiche). Presenterò il modello...

Sulla dissipatività in L^{p} degli operatori differenziali alle derivate parziali

In questo seminario discuterò alcuni risultati ottenuti in collaborazione con Vladimir Maz'ya. Questi riguardano la dissipatività negli spazi L^{p} (1 < p < +\infty ), degli operatori differenzi...

Chirality in two-dimensions induced by molecules self-assembled on surfaces

Abstract: Chiral surfaces, obtained through self-assembling of chiral molecules on achiral metallic surfaces, represent a relevant subject for technologically important issues in many fields, like sur...

Error control and cdaptivity for the linear Schrodinger equation in the semiclassical regime

We derive optimal order a posteriori error bounds for a fully discrete Crank-Nicolson finite element scheme for linear Schroedinger equations. The derivation of the estimators is based on the reconstr...

Singular spaces with generalized lower curvature bound

Lower curvature bounds play an important role in the study of singular spaces. In 2005 Lott, Sturm and Villani presented a synthetic definition in terms of Optimal Transportation of a metric space end...

Mimetic finite difference approximation of quasi-linear elliptic problems

In this talk we address the solution of quasilinear elliptic problems of monotone type by using the Mimetic Finite Difference (MFD) method. Under a suitable approximation assumption, we prove that the...