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math.PR2026★ 1 cited
Second Class Particle Behaviour in Blocking ASEP
Daniel Adams, Márton Balázs, Jessica Jay
We consider any fixed number of second class particles in the asymmetric simple exclusion process (ASEP), constructed via a basic coupling of two ASEPs. We gi…
math.PR2025
Local convergence in -PNG
Márton Balázs, Ruby Bestwick, Artem Borisov +2
We prove local convergence of the -PNG model with zero boundary to the stationary -PNG model, confirming a recent conjecture of Drillick and Lin (2024). The stationary -PN…