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Continuous symmetry breaking: a rigorous approach

At the base of spontaneous pattern formation is universally believed to be the competition between short range attractive and long range repulsive forces. Though such a phenomenon is observed in exper...

A.I. Fakes you: Riflessioni su entropia, irreversibilità e intelligenza artificiale

Essere o non essere? vero o falso? creatività o plagio? opera originale o copia? Lo sviluppo di nuovi modelli di Intelligenza Artificiale Generativa ci pone quotidianamente difronte a ‘dati sintetici’...

A TV-flow scheme for first order ergodic mean field games

In this talk, we introduce a class of first order ergodic mean field games (MFG) arising from ecology, and a numerical method for the approximation of their solution. The algorithms we propose are ins...

A strong unique continuation principle at the boundary for the spectral fractional Laplacian

I will show the validity of a strong unique continuation principle at certain boundary points for solutions to a class of nonlocal equations by means of the classical Almgren monotonicity approach. ...

Mean-Field sparse optimal control of systems with additive white noise

We analyze the problem of controlling a multiagent system with additive white noise through parsimonious interventions on a selected subset of the agents (leaders). For such a controlled system with a...

Verso la classificazione delle varietà log-omogenee

Le varietà log-omogenee sono state introdotte da Brion nel 2007, come generalizzazione delle varietà algebriche complesse omogenee complete. Queste ultime sono descritte dal Teorema di Borel-Remmert c...

Spectral analysis of polaron models in the strong coupling limit

The Fröhlich polaron and related models of quantum field theory have played a prominent role in mathematical physics over several decades. In this talk, we shall explain recent bounds on the quantum c...

From charge to spin: Analogies and differences in quantum transport coefficients

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...

Going high-order in implicit schemes for stiff hyperbolic systems

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 ...

Il mio viaggio tra i modelli di crescita aleatoria

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 ...
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