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math.PR2026
Multi-floor generalization of TASEP
Yuliy Baryshnikov, Alexander Stolyar
We consider an interacting particle system, which generalizes the classical totally asymmetric simple exclusion process (TASEP), in that each site can contain up to a fixed finite…
math.PR2024
Ising Disks: Topology Preserving Glauber Dynamics
Yuliy Baryshnikov, Efe Onaran
We introduce a dynamic model where the state space is the set of contractible cubical sets in the Euclidian space. The permissible state transitions, that is addition and removal o…