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Entropy, Irreversibility, DNA sequences… and Fake Faces

Abstract: Entropy and irreversibility, two fundamental concepts underlying physical processes, and now also at the core of digital processes for simulation and evolution of artificial models. We will ...

Scaling Limits of Random Walks, Harmonic Profiles, and Stationary Non-Equilibrium States in Lipschitz Domains

Abstract: We consider the open symmetric exclusion (SEP) and inclusion (SIP) processes on a bounded Lipschitz domain Ω, with both fast and slow boundary. For the random walks on Ω dual to SEP/SIP we...

Quantum spin chains, loop representations, dimerisation

Abstract: In contrast to their classical counterparts, one-dimensional quantum spin systems are interesting, they have intriguing behaviour, and they are difficult to study. I will describe a family o...

Rare events in sparse random graphs

Abstract: Rare events for dense random graphs are well described using the theory of large deviations and graphons. When graphs are sparse the picture is less clear, objects that describe globally the...

On correlated equilibria and mean field games

Abstract: Mean field games are limit models for symmetric N-player games, as the number of players N tends to infinity. The prelimit models are usually solved in terms of Nash equilibria. A generaliza...

Gamma-expansion of the level two large deviations rate functionals

Abstract: We present a general method, based on tools used to prove the metastable behaviour of Markov chains, to derive a full expansion of its level two large deviations rate functional, expressing ...

Modeling an example of green transition

Abstract: The work presented is part of a collaboration between mathematicians and philosophers of ethics, politics, and society aiming to understand mechanisms of green energy transition where some k...