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Tagged particle fluctuations for TASEP with dynamics restricted by a moving wall

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arxiv 2403.05366 v2 pith:6T5KP7XE submitted 2024-03-08 math.PR math-phmath.MP

Patrik L. Ferrari , Sabrina Gernholt (Bonn University) This is my paper · ORCID
classification math.PRmath-phmath.MP
keywords wallfluctuationsparticletaggedasymmetricborodin-bufetov-ferraricasecondition
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abstract

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.

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  1. Quasi-geodesics in integrable and non-integrable exclusion processes

    math.PR 2024-12 conditional novelty 7.0 of 10

    For TASEP, the backward geodesic endpoint converges to the argmax of Airy_2 minus a parabola, and the same universal law is conjectured and numerically supported for ASEP and speed-changed ASEP.

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