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Bibliographic Details
Main Authors: Ferrari, Patrik L., Gernholt, Sabrina
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.05366
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Table of Contents:
  • We consider the totally asymmetric simple exclusion process on $\Z$ with step initial condition and with the presence of a rightward-moving wall that prevents the particles from jumping. This model was first studied in [Borodin-Bufetov-Ferrari'21]. We extend their work by determining the limiting distribution of a tagged particle in the case where the wall has influence on its fluctuations in neighbourhoods of multiple macroscopic times.