Séminaire MODAL'X : Brune Massoulié (CEREMADE)

Résumé : The lifted TASEP is a variant of the totally asymmetric exclusion process where at each time-step, instead of trying to move forward a uniformly chosen particle, a marked particle tries to move forward then may pass the marker to another particle. It was introduced by physicists as a toy model for non-reversible event-chain Monte-Carlo algorithms, which are expected to reach equilibrium faster than reversible dynamics. We will study the behaviour of this system on the integer line by evidencing a connexion with true self-avoiding walks, yielding timescales of the dynamics. This is based on joint work with Clément Erignoux, Werner Krauth, François Simenhaus and Cristina Toninelli.