Abstract of "Tracy-Widom asymptotics for q-TASEP"
with Bálint Vető.
We consider the q-TASEP, that is a q-deformation of the totally asymmetric simple exclusion process (TASEP) on Z for q in [0,1) where the jump rates depend on the gap to the next particle. For step initial condition, we prove that the current fluctuation of q-TASEP at time t are of order t1/3 and asymptotically distributed as the GUE Tracy-Widom distribution.
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