Zobrazeno 1 - 10
of 31
pro vyhledávání: '"Zhou, Zhengye"'
Autor:
Kuan, Jeffrey, Zhou, Zhengye
Using a recently developed method for proving asymptotics via orthogonal polynomial duality arXiv:2305.17602, we prove that the dynamic ASEP introduced in arXiv:1701.05239 has asymptotics which are either distributed as the Tracy--Widom \(F_2,\) or a
Externí odkaz:
http://arxiv.org/abs/2408.15785
Autor:
Kuan, Jeffrey, Zhou, Zhengye
We introduce a new, algebraic method to construct duality functions for integrable dynamic models. This method will be implemented on dynamic stochastic higher spin vertex models, where we prove the duality functions are the $ _3 \varphi_2$ functions
Externí odkaz:
http://arxiv.org/abs/2305.17602
Autor:
Kuan, Jeffrey, Zhou, Zhengye
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 algebraic methods. These contour integral formulas have a "pseudo-factorize
Externí odkaz:
http://arxiv.org/abs/2305.00321
Publikováno v:
J Stat Phys 190, 101 (2023)
We examine type D ASEP, a two--species interacting particle system which generalizes the usual asymmetric simple exclusion process. For certain cases of type D ASEP, the process does not give priority for one species over another, even though there i
Externí odkaz:
http://arxiv.org/abs/2209.11114
We propose a novel, general method to produce orthogonal polynomial dualities from the $^*$--bialgebra structure of Drinfeld--Jimbo quantum groups. The $^*$--structure allows for the construction of certain \textit{unitary} symmetries, which imply th
Externí odkaz:
http://arxiv.org/abs/2209.03531
Autor:
Zhou, Zhengye
We consider the multi-time correlation and covariance structure of a random surface growth with a wall introduced in arXiv:0904.2607. It is shown that the correlation functions associated with the model along space-like paths have determinantal struc
Externí odkaz:
http://arxiv.org/abs/2203.15920
Autor:
Kuan, Jeffrey, Zhou, Zhengye
In arXiv:1410.7268v3, the authors consider eigenvalues of overlapping Wishart matrices and prove that its fluctuations asymptotically convergence to the Gaussian free field. In this brief note, their result is extended to show that when the matrix en
Externí odkaz:
http://arxiv.org/abs/2112.13728
Orthogonal Polynomial Stochastic Duality Functions for Multi-Species SEP$(2j)$ and Multi-Species IRW
Autor:
Zhou, Zhengye
Publikováno v:
SIGMA 17 (2021), 113, 11 pages
We obtain orthogonal polynomial self-duality functions for multi-species version of the symmetric exclusion process (SEP$(2j)$) and the independent random walker process (IRW) on a finite undirected graph. In each process, we have $n>1$ species of pa
Externí odkaz:
http://arxiv.org/abs/2110.07042
We construct a two-class asymmetric interacting particle system with $U_q(so_6)$ or $U_q(so_8)$ symmetry, in which up to two particles may occupy a site if the two particles have different class. The particles exhibit a drift, but there is no prefere
Externí odkaz:
http://arxiv.org/abs/2011.13473
Autor:
Zhou, Zhengye
In this paper we focus on the open symmetric exclusion process with parameter $m$ (open SEP($m/2$)), which allows $m$ particles each site and has an open boundary. We generalize the result about hydrodynamic limit for the open SEP$(m/2)$ that was ori
Externí odkaz:
http://arxiv.org/abs/2004.14279