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math-ph2026
Multispecies inhomogeneous -PushTASEP with general capacity
Arvind Ayyer, Atsuo Kuniba
We study an -species -PushTASEP, an integrable long-range stochastic process, on a one-dimensional periodic lattice with inhomogeneities and arbitrary capaci…
math-ph2025★ 2 cited
Multispecies inhomogeneous -PushTASEP from antisymmetric fusion
Arvind Ayyer, Atsuo Kuniba
We investigate the recently introduced inhomogeneous -species -PushTASEP, a long-range stochastic process on a periodic lattice. A Baxter-type formula is established, express…
math-ph2010★ 5 cited
Algebraic Properties of a Disordered Asymmetric Glauber Model
Arvind Ayyer
We consider a variant of Glauber dynamics of Ising spins on a one-dimensional lattice, where each spin flips according to the relative state of the spin to its left. Moreover, each…