We study the adiabatic response of open systems governed by Lindblad evolutions (or Gorini-Kossakowski-Sudarshan) and hence affected by some form of friction. In particular, we present the analog of t...
The goal of the talk is proving a conjecture of Claude Roger about the universal central extension of the Lie algebra of volume-preserving vector fields. In the beginning we will briefly review the no...
How do we recognize faces? How do we divide people into groups if they are not all friends with each other? How do magnets work? Introduced back in 1982 as a neural network realization of an associati...
We study the evolution in time of smooth sets in the n–dimensional flat torus, such that their boundaries, which are smooth hypersurfaces, move by surface diffusion flow (i.e. the H−1H−1 gradient flow...
We present recent results on the local in time well-posedness of stochastic thin-film equations driven by Gaussian noise, which is white in time and colored in space, with strictly positive initial da...
Nel 2007 Choe-Ghomi and Ritoré hanno provato una disuguaglianza isoperimetrica che afferma che a parità di volume, il minimo del perimetro relativo di un insieme E fuori di un convesso C si realizza q...
Abstract: We review some recent results from the mathematical theory of quantum transport of charge and spin in insulating crystals. The emphasis will be on transport coefficients, su...
Abstract: This talk addresses the challenges of designing high-order implicit schemes for systems of hyperbolic conservation laws, particularly in the context of stiff problems where wave speeds ...
Abstract: Quali sono i meccanismi che regolano la formazione di strutture ramificate di tipo frattale in natura? Questa domanda ha attratto nell'ultimo secolo l'attenzione di molti fisici, matematici ...
We consider solutions of semilinear equations on domains of the model spaces of constant curvature S^2, R^2 and H^2. Under suitable conditions on the domain, we prove uniqueness an...
Several interesting asymptotic properties of Hamilton-Jacobi equations are based on the so-called critical value of the Hamiltonian H(x,p) and on the associated critical stationary H-J equation. In pa...
The cutoff phenomenon is a now classical topic in probability, that consists in proving an abrupt convergence to equilibrium for a sequence of Markovian dynamics. Classical examples include card shuff...
