Top-level heading

Fluctuations and large deviations in non equilibrium systems

Studies of non-equilibrium fluctuations have held a center stage during the past few decades of the development of non-equilibrium statistical mechanics. Indeed, macroscopic fluctuations are supposed ...

A Destination--Preserving Model for Simulating Wardrop Equilibria in Traffic Flow on Networks

In this talk we present a LWR-like model for traffic flow on networks which allows one to track several groups of drivers, each of them being characterized only by their destination in the network. Th...

Higher Order Functional Inequalities and the 1-Biharmonic Operator

We study optimal embeddings for the space of functions whose Laplacian belongs to L1(Ω), where Ω⊂RN is a bounded domain. This function space turns out to be strictly larger than the Sobolev space W2,1...

Optimal Control with Heterogeneous Agents in Continuous Time

In this talk we consider optimal control problems in which there is an infinite number of ex-ante identical agents. The evolution of the idiosyncratic state variables follows a controllable It� proces...

A variational approach to parabolic systems

We consider a purely variational approach to time dependent problems, yielding the existence of global parabolic minimizers. These evolutionary variational solutions are obtained as limits of maps dep...

Modelling liquid crystals in the bulk and close to their boundaries

Abstract: Liquid Crystals (LC) are anisotropic fluids characterized by long range orientational order and pair correlations. Mesoscale models, based on the drastic simplification of representing molec...

Multi-population Mean Field Games systems with aversion

The theory of Mean Field Games has been recently proposed to model and analyze decision processes involving a very large number of indistinguishable rational agents. In this talk we consider both from...

Experimental measurements of entropy production at the nano-scale: an application for the 'fluctuation theorems'

The study of non-equilibrium systems has led to several mathematically rigorous and general results on the statistics of entropy production in non-equilibrium systems. These results are generally know...

Dependent Vectors of Random Probability Measures

The definition of vectors of dependent random probability measures is a topic of interest in applications to Bayesian statistics. Indeed, they can be used for identifying the de Finetti mixing measure...

Metodi level set: applicazione alla cicatrizzazione dei tessuti cellulari e al controllo di fronti

I metodi level set, introdotti da Osher e Sethian nel 1988, sono delle tecniche per evolvere superfici in due o tre dimensioni ed hanno applicazioni in moltissimi campi, quali la fluidodinamica, il tr...

Quasistatic evolution models for thin plates in perfect plasticity

In this talk I shall discuss the rigorous derivation of a quasistatic evolution model for a thin plate in the framework of Prandtl-Reuss plasticity via Gamma-convergence techniques. The limiting model...