4 papers · 1 filter
Functional relations in renormalization group methods for a class of ordinary differential equations
Atsuo Kuniba, Rurika Motohashi
We develop a renormalization group (RG)-based perturbation scheme for a class of ordinary differential equations, including first-order systems with semisimple or nilpotent linear…
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…
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…
A strange five vertex model and multispecies ASEP on a ring
Atsuo Kuniba, Masato Okado, Travis Scrimshaw
We revisit the problem of constructing the stationary states of the multispecies asymmetric simple exclusion process on a one-dimensional periodic lattice. Central to our approach…