asymmetric simple inclusion process 1beta-binomial distribution 1misanthrope process 1phase diagram 1steady state 1
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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…
math.PR2025
The bunkbed problem and the random cluster model
Arvind Ayyer, Svante Linusson, Mohan Ravichandran
The well known bunkbed conjecture about percolation on finite graphs is now resolved; Gladkov, Pak and Zimin, building upon work of Hollom, have constructed a counterexample. We re…