Arvind Ayyer

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asymmetric simple inclusion process 1 beta-binomial distribution 1 misanthrope process 1 phase diagram 1 steady state 1

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math-ph2026

Multispecies inhomogeneous $t$ -PushTASEP with general capacity

Arvind Ayyer, Atsuo Kuniba

We study an $n$ -species $t$ -PushTASEP, an integrable long-range stochastic process, on a one-dimensional periodic lattice with inhomogeneities $x_{1}, \dots, x_{L}$ and arbitrary capaci…

math-ph2025

Multispecies inhomogeneous $t$ -PushTASEP from antisymmetric fusion

Arvind Ayyer, Atsuo Kuniba

We investigate the recently introduced inhomogeneous $n$ -species $t$ -PushTASEP, a long-range stochastic process on a periodic lattice. A Baxter-type formula is established, express…

Multispecies inhomogeneous t-PushTASEP with general capacity

Multispecies inhomogeneous t-PushTASEP from antisymmetric fusion

Multispecies inhomogeneous $t$ -PushTASEP with general capacity

Multispecies inhomogeneous $t$ -PushTASEP from antisymmetric fusion