4 citations · 11 across the 13 of their papers we have counts for
15 papers
The periodic Airy line ensembles
Evgeni Dimitrov, Samir Sarieddine, Zongrui Yang +1
In this paper we construct a one-parameter family of periodic Airy line ensembles for as weak scaling limits of Borodin's periodic Schur proces…
From the Airy line ensemble to the Gaussian free field
Evgeni Dimitrov, Alex Fu, Zhengye Zhou
We study the global fluctuations of the height function associated with the Airy line ensemble. Using its determinantal structure and a steepest-descent analysis of the extended Ai…
Curve separation in supercritical half-space last passage percolation
Evgeni Dimitrov, Zhengye Zhou
We study line ensembles arising naturally in symmetrized/half-space geometric last passage percolation (LPP) on the square. The weights of the model are geometrically…
Uniform convergence of Pfaffian point process to the Airy line ensemble
Zhengye Zhou
We consider a family of Pfaffian Schur processes whose first coordinate marginal relates to the half--space geometric last passage percolation. We show that the line ensembles corr…
Asymptotics of dynamic ASEP using duality
Jeffrey Kuan, Zhengye Zhou
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 asym…
Weaving Complex Graph on simple low-dimensional qubit lattices
Yu-Hang Dang, Shyam Dhamapurkar, Xiao-Long Zhu +3
In quantum computing, the connectivity of qubits placed on two-dimensional chips limits the scalability and functionality of solid-state quantum computers. This paper presents two…
Orthogonal Dualities of Dynamic Stochastic Higher Spin Vertex Models, using the Drinfeld Twister
Jeffrey Kuan, Zhengye Zhou
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, w…
Asymptotics of two-point correlations in the multi-species q-TAZRP
Jeffrey Kuan, Zhengye Zhou
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 algeb…
Orthogonal polynomial duality of a two-species asymmetric exclusion process
Danyil Blyschak, Olivia Burke, Jeffrey Kuan +3
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 do…
Orthogonal polynomial duality and unitary symmetries of multi--species ASEP and higher--spin vertex models via --bialgebra structure of higher rank quantum groups
Chiara Franceschini, Jeffrey Kuan, Zhengye Zhou
We propose a novel, general method to produce orthogonal polynomial dualities from the --bialgebra structure of Drinfeld--Jimbo quantum groups. The --structure allows for t…
Three-dimensional Gaussian fluctuations of non-commutative random surface growth with a reflecting wall
Zhengye Zhou
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 ass…
Three-dimensional Gaussian fluctuations of spectra of overlapping stochastic Wishart matrices
Jeffrey Kuan, Zhengye Zhou
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 thi…
Orthogonal Polynomial Stochastic Duality Functions for Multi-Species SEP and Multi-Species IRW
Zhengye Zhou
We obtain orthogonal polynomial self-duality functions for multi-species version of the symmetric exclusion process (SEP) and the independent random walker process (IRW) on a…
Interacting particle systems with type D symmetry and duality
Jeffrey Kuan, Mark Landry, Andrew Lin +2
We construct a two-class asymmetric interacting particle system with or symmetry, in which up to two particles may occupy a site if the two particles have d…
Hydrodynamic limit for a -dimensional open symmetric exclusion process
Zhengye Zhou
In this paper we focus on the open symmetric exclusion process with parameter (open SEP()), which allows particles each site and has an open boundary. We generalize th…