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A staggered discretization for solving the Euler equations

The mathematical modeling of particulate flows naturally lead to systems of conservation laws involving constraints on velocity fields. The numerical treatment of the constrained systems of PDEs might...

Nonlinear Gibbs measures and their derivation from many-body quantum mechanics

Abstract: In this talk I will define and discuss some probability measures in infinite dimensions, which play an important role in (S)PDE, in Quantum Field Theory and for Bose-Einstein condensates. Th...

Proportionality based two-phase gradient methods for large scale quadratic programming problems

We propose a two-phase gradient-based method for general Quadratic Programming (QP) problems. Such kind of problems arise in many real-world applications, such as Support Vector Machines, multicommodi...

Metodi numerici e modellistica per problemi iperbolici.

I sistemi di equazioni alle derivate parziali di tipo iperbolico danno luogo a soluzioni con una struttura particolarmente interessante. Dati iniziali e al contorno regolari possono sviluppare singola...

Beyond Diophantine Wannier diagrams: gap labelling for Bloch-Landau Hamiltonians

Abstract: In 1978 Wannier discovered a Diophantine relation expressing the integrated density of states of a gapped group of bands of the Hofstadter Hamiltonian as a linear function of the magnetic fi...

Schemi numerici a tempo discreto per problemi di controllo ottimo ad orizzonte finito

Il principio della Programmazione Dinamica per problemi di controllo ottimo si basa sulla caratterizzazione della funzione valore come l'unica soluzione di viscosità dell'equazione di Hamilton-Jacobi-...

Effects of prior selection in nonparametric Bayes problems

We consider an arbitrary family of stochastically ordered distribution functions dependent on parameters from an interval in the real line. We compare distribution functions and moments of random vari...

Regularization methods in variable exponent Lebesgue spaces

Let us consider a functional equation Ax=y characterized by an ill-posed linear operator A acting between two Banach spaces X and Y. In this talk, we propose an extension of the Tikhonov regularizatio...

Small noise asymptotics for stochastic Allen-Cahn equations in finite volume

We consider lattice approximations of the Allen-Cahn equation on the torus perturbed by small space-time white noise and discuss metastable transition times between the two stable phases....