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math.PR2026
Dynamics for exclusion processes with random environments of particle jump rates
Mikhail Menshikov, Serguei Popov, Andrew Wade
We consider a continuous-time particle system with exclusion interaction on the integer lattice. Each particle is assigned intrinsic left and right jump rates by an independent dra…
math.PR2026
Dynamics of the leftmost particle in heterogeneous semi-infinite exclusion systems
Mikhail Menshikov, Serguei Popov, Andrew Wade
We study the behaviour of the leftmost particle in a semi-infinite particle system on , where each particle performs a continuous-time nearest-neighbour random walk, wi…