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Article Dans Une Revue Stochastic Processes and their Applications Année : 2015

A phase transition for q-TASEP with a few slower particles

Résumé

We consider a q-TASEP model started from step initial condition where all but finitely many particles have speed 1 and a few particles are slower. It is shown in Ferrari and Veto (2013) that the rescaled particles position of q-TASEP with identical hopping rates obeys a limit theorem a la Tracy-Widom. We adapt this work to the case of different hopping rates and show that one observes the so-called BBP transition. Our proof is a refinement of Ferrari-Veto's and does not require any condition on the parameter q nor the macroscopic position of particles.

Dates et versions

hal-01164575 , version 1 (17-06-2015)

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Citer

Guillaume Barraquand. A phase transition for q-TASEP with a few slower particles. Stochastic Processes and their Applications, 2015, 125 (7), pp.2674-2699. ⟨10.1016/j.spa.2015.01.009⟩. ⟨hal-01164575⟩
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