3 papers
cond-mat.stat-mech2025
Current fluctuations for the second class particle : joint statistics
Sylvain Prolhac
We consider TASEP with a single second class particle and periodic boundary conditions. Using Bethe ansatz, we compute stationary large deviations for the joint statistics of the c…
cond-mat.stat-mech2024
Approach to stationarity for the KPZ fixed point with boundaries
Sylvain Prolhac
Current fluctuations for the one-dimensional totally asymmetric exclusion process (TASEP) connected to reservoirs of particles, and their large scale limit to the KPZ fixed point i…
math.PR2024
KPZ fluctuations in finite volume
Sylvain Prolhac
These lecture notes, adapted from the habilitation thesis of the author, survey in a first part various exact results obtained in the past few decades about KPZ fluctuations in one…