Facilitated exclusion process
We study the Facilitated TASEP, an interacting particle system on the one dimensional
integer lattice. We prove that starting from step initial condition, the position of the rightmost …
integer lattice. We prove that starting from step initial condition, the position of the rightmost …
Orthogonal Polynomial Duality and Unitary Symmetries of Multi-species ASEP (q, θ) and Higher-Spin Vertex Models via∗-Bialgebra Structure of Higher Rank …
C Franceschini, J Kuan, Z Zhou - Communications in Mathematical …, 2024 - Springer
We propose a general method to produce orthogonal polynomial dualities from the∗-
bialgebra structure of Drinfeld–Jimbo quantum groups. The∗-structure allows for the …
bialgebra structure of Drinfeld–Jimbo quantum groups. The∗-structure allows for the …
Asymptotics of free fermions in a quadratic well at finite temperature and the Moshe–Neuberger–Shapiro random matrix model
We derive the local statistics of the canonical ensemble of free fermions in a quadratic
potential well at finite temperature, as the particle number approaches infinity. This free …
potential well at finite temperature, as the particle number approaches infinity. This free …
Integral Formulas of ASEP and q-TAZRP on a Ring
In this paper, we obtain the transition probability formulas for the asymmetric simple
exclusion process and the q-deformed totally asymmetric zero range process on the ring by …
exclusion process and the q-deformed totally asymmetric zero range process on the ring by …
Exact formulas of the transition probabilities of the multi-species asymmetric simple exclusion process
E Lee - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2020 - emis.de
We find the formulas of the transition probabilities of the $ N $-particle multi-species
asymmetric simple exclusion processes (ASEP), and show that the transition probabilities …
asymmetric simple exclusion processes (ASEP), and show that the transition probabilities …
Asymptotics of two-point correlations in the multi-species q-TAZRP
J Kuan, Z Zhou - arXiv preprint arXiv:2305.00321, 2023 - arxiv.org
A previous paper by the authors found explicit contour integral formulas for certain joint
moments of the multi-species q-TAZRP (totally asymmetric zero range process), using …
moments of the multi-species q-TAZRP (totally asymmetric zero range process), using …
On the TASEP with second class particles
E Lee - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2018 - emis.de
In this paper we study some conditional probabilities for the totally asymmetric simple
exclusion processes (TASEP) with second class particles. To be more specific, we consider …
exclusion processes (TASEP) with second class particles. To be more specific, we consider …
Integrability of the multi-species TASEP with species-dependent rates
E Lee - Symmetry, 2021 - mdpi.com
Assume that each species l has its own jump rate bl in the multi-species totally asymmetric
simple exclusion process. We show that this model is integrable in the sense that the Bethe …
simple exclusion process. We show that this model is integrable in the sense that the Bethe …
Simplified forms of the transition probabilities of the two-species ASEP with some initial orders of particles
E Lee, T Raimbekov - SIGMA. Symmetry, Integrability and Geometry …, 2022 - emis.de
It has been known that the transition probability of the single species ASEP with $ N $
particles is expressed as a sum of $ N! $$ N $-fold contour integrals which are related to …
particles is expressed as a sum of $ N! $$ N $-fold contour integrals which are related to …
q-Zero range has random walking shocks
M Balázs, L Duffy, D Pantelli - Journal of Statistical Physics, 2019 - Springer
but no other surprises in the zero range world. We check all nearest neighbour 1-
dimensional asymmetric zero range processes for random walking product shock measures …
dimensional asymmetric zero range processes for random walking product shock measures …