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math.PR2026
An exactly solvable evaporation-deposition PCA with long-distance interactions
Arvind Ayyer, Moumanti Podder
We consider a probabilistic cellular automaton (PCA) of evaporation-deposition on the one-dimensional lattice having sites with periodic boundary conditions, in which each site…
math.PR2026
Factorised stationary states for a long range misanthrope process
Arvind Ayyer, Saham Sil
The misanthrope process is an interacting particle system where particles move between neighbouring sites with hop rates depending only on the number of particles at the departure…