3 papers
math.PR2025
TASEP with a general initial condition and a deterministically moving wall
Sabrina Gernholt
We study the totally asymmetric simple exclusion process (TASEP) on with a general initial condition and a deterministically moving wall in front of the particles. Usi…
math.PR2025
Tagged particle fluctuations for TASEP with dynamics restricted by a moving wall
Patrik L. Ferrari, Sabrina Gernholt
We consider the totally asymmetric simple exclusion process on with step initial condition and with the presence of a rightward-moving wall that prevents the particles from ju…
math.PR2025
Decoupling and decay of two-point functions in a two-species (T)ASEP
Patrik L. Ferrari, Sabrina Gernholt
We consider the two-species totally asymmetric simple exclusion process on with a translation-invariant stationary measure as the initial condition. We establish the a…