Chenyang Zhong

activity

20192026

most citedHahn polynomials and the Burnside process

9 citations · 36 across the 17 of their papers we have counts for

collaborators

Showing math.PRShow all

8 papers · 1 filter

math.PR2025★ 1 cited

Counting the number of group orbits by marrying the Burnside process with importance sampling

Persi Diaconis, Chenyang Zhong

This paper introduces a novel and general algorithm for approximately counting the number of orbits under group actions. The method is based on combining the Burnside process and i…

math.PR2024

Large deviation principle for the Airy point process

Chenyang Zhong

The Airy point process is a determinantal point process that arises from the spectral edge of the Gaussian Unitary Ensemble. In this paper, we establish a large deviation principle…

math.PR2024

Colored stochastic vertex models with U-turn boundary

Chenyang Zhong

In this paper, we introduce a class of colored stochastic vertex models with U-turn right boundary. The vertex weights in the models satisfy the Yang-Baxter equations and the refle…

math.PR2023

Cycle structure of Mallows permutation model with the $L^{1}$ distance

Chenyang Zhong

Introduced by Mallows as a ranking model in statistics, Mallows permutation model is a class of non-uniform probability distributions on the symmetric group $S_{n}$ . The model depend…

math.PR2023

The length of the longest increasing subsequence of Mallows permutation models with $L^{1}$ and $L^{2}$ distances

Chenyang Zhong

Introduced by Mallows in statistical ranking theory, Mallows permutation model is a class of non-uniform probability measures on the symmetric group $S_{n}$ that depend on a distance…

math.PR2021★ 2 cited

Mallows permutation models with $L^{1}$ and $L^{2}$ distances I: hit and run algorithms and mixing times

Chenyang Zhong

Mallows permutation model, introduced by Mallows in statistical ranking theory, is a class of non-uniform probability measures on the symmetric group $S_{n}$ . The model depends on a…

math.PR2020★ 9 cited

Hahn polynomials and the Burnside process

Persi Diaconis, Chenyang Zhong

We study a natural Markov chain on ${0, 1, \dots, n}$ with eigenvectors the Hahn polynomials. This explicit diagonalization makes it possible to get sharp rates of convergence to s…

math.PR2019★ 4 cited

Large deviation bounds for the Airy point process

Chenyang Zhong

In this paper, we establish the first large deviation bounds for the Airy point process. The proof is based on a novel approach which relies upon the approximation of the Airy poin…

Counting the number of group orbits by marrying the Burnside process with importance sampling

Large deviation principle for the Airy point process

Colored stochastic vertex models with U-turn boundary

Cycle structure of Mallows permutation model with the L1 distance

The length of the longest increasing subsequence of Mallows permutation models with L1 and L2 distances

Mallows permutation models with L1 and L2 distances I: hit and run algorithms and mixing times

Hahn polynomials and the Burnside process

Large deviation bounds for the Airy point process

Cycle structure of Mallows permutation model with the $L^{1}$ distance

The length of the longest increasing subsequence of Mallows permutation models with $L^{1}$ and $L^{2}$ distances

Mallows permutation models with $L^{1}$ and $L^{2}$ distances I: hit and run algorithms and mixing times