4 citations · 7 across the 11 of their papers we have counts for
13 papers · 1 filter
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…
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…