3 papers
math.PR2026
Integrability of Multispecies Long-Range Swap Models with Species-Dependent Interpolation
Eunghyun Lee
We introduce a class of multispecies exclusion processes with long-range swap interactions, incorporating species-dependent interpolation between TASEP-type and drop--push-type dyn…
math-ph2025
Integrable multispecies totally asymmetric stochastic interacting particle systems with homogeneous rates
Eunghyun Lee, Temirlan Raimbekov
We study one dimensional stochastic particle systems with exclusion interaction that each site can be occupied by at most one particle, and homogeneous jumping rates. Alimohammadi…
math-ph2025
Multispecies totally asymmetric simple exclusion process with long-range swap
Eunghyun Lee
We introduce the multispecies totally asymmetric simple exclusion process (mTASEP) with long-range swap, a new interacting particle system combining the backward-push rule with the…