From the lifted TASEP to true self-avoiding walksOberseminar Stochastics

by Brune Massoulié (Institute of Science and Technology Austria)

Thursday Jan 15, 2026, 4:30 PM → 5:30 PM Europe/Berlin

Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)

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 cho-
sen particle, we try to move forward a marked particle which 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 be-
haviour 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.