Paper
Limit profiles of ASEP
Authors
David A. Henriquez Bernal, Peter Nejjar
Abstract
We study the asymmetric simple exclusion process (ASEP) on a segment and are interested in its total variation distance to equilibrium when started from an initial configuration . We provide a general result which gives the cutoff window and profile whenever a KPZ-type limit theorem is available for an extension of to . We apply this result to obtain the cutoff window and profile of ASEP on the segment with flat, half-flat and step initial data. Our arguments are entirely probabilistic and make no use of Hecke algebras.