Yinshan Chang

activity

20122026

most citedOn

H^{2∣2}

Isomorphism theorems and reinforced loop soup

6 citations · 22 across the 14 of their papers we have counts for

collaborators

16 papers

math.DS2026

Quantitative Rigidity of pseudo-rotations on the two-torus and Sarnak's conjecture

Yinshan Chang, Jian Wang, Junchang Zhou

We establish quantitative rigidity results for pseudo-rotations of the two-torus under a $(C, δ)$ -deviation condition relative to their rotation vectors. The main ingredient is a qu…

math.DS2026

Examples beyond Bounded Mean Motion for Quantitative Rigidity on the Two-Torus

Yinshan Chang, Jian Wang, Junchang Zhou

This note supplies genuinely non-fibred examples for the manuscript: Rigidity on the Two-Torus and Sarnak's Conjecture. For every $0 < δ < \frac{1}{2}$ , we construct $C^{\infty}$ Lebesgue-a…

math.DS2026

Regularity, quantitative deviation, and non-rigidity of a lacunary skew product

Yinshan Chang, Jian Wang, Junchang Zhou

Let $α$ be irrational and let $q_{j}$ be the denominators of its continued-fraction convergents. We study the function \[ h(x)=\sum_{j\geq1}\frac{\cos(2πq_jx)}{q_j} \] and the skew p…

math.PR2025

Reinforced Loop Soup via Wilson's Algorithm

Yinshan Chang, Yichao Huang, Dang-Zheng Liu +1

The goal of this note is twofold: first, we explain the relation between the isomorphism theorems in the context of vertex reinforced jump process discovered in [BHS19, BHS21] and…

math.PR2023★ 1 cited

Percolation threshold for metric graph loop soup

Yinshan Chang, Hang Du, Xinyi Li

In this short note, we show that the critical threshold for the percolation of metric graph loop soup on a large class of transient metric graphs (including quasi-transitive graphs…

math.PR2021★ 1 cited

Bernoulli hyper-edge percolation on Zd

Yinshan Chang

We consider Bernoulli hyper-edge percolation on $Z^{d}$ . This model is a generalization of Bernoulli bond percolation. An edge connects exactly two vertices and a hyper-edge…

math.PR2019★ 6 cited

On $H^{2∣2}$ Isomorphism theorems and reinforced loop soup

Yinshan Chang, Dang-Zheng Liu, Xiaolin Zeng

We show that supersymmetric (susy) hyperbolic isomorphism theorems that relate Vertex Reinforced Jump Processes and $H^{2∣2}$ field, introduced in [2] and [3], are annealed version…

math.DS2019

Second order asymptotics for Krein indefinite multipliers with multiplicity two

Yinshan Chang, Jingzhi Yan

We consider linear Hamiltonian equations in $R^{4}$ of the following type \begin{equation} \frac{\mathrm{d}γ}{\mathrm{d}t}(t)=J_{4}A(t)γ(t), γ(0)\in\operatorname{Sp}(4,\ma…

math.DS2017

On bifurcation of eigenvalues along convex symplectic paths

Yinshan Chang, Yiming Long, Jian Wang

We consider a continuously differentiable curve $t \mapsto γ (t)$ in the space of $2 n \times 2 n$ real symplectic matrices, which is the solution of the following ODE: $\frac{\mathrm{d…

math.PR2016

Two observations on the capacity of the range of simple random walks on $Z^{3}$ and $Z^{4}$

Yinshan Chang

We prove a weak law of large numbers for the capacity of the range of simple random walks on $Z^{4}$ . On $Z^{3}$ , we show that the capacity, properly scaled, conv…

math.PR2015★ 2 cited

Supercritical loop percolation on $Z^{d}$ for $d \geq 3$

Yinshan Chang

In this paper, we are interested in the loop cluster model on $Z^{d}$ for $d \geq 3$ . It is a long range model with two parameters $α$ and $κ$ , where the non-negative paramet…

math.PR2014★ 2 cited

Phase transition in loop percolation

Yinshan Chang, Artëm Sapozhnikov

We are interested in the clusters formed by a Poisson ensemble of Markovian loops on infinite graphs. This model was introduced and studied in [LeJ12] and [LL12]. It is a model wit…

math.PR2014★ 6 cited

Markov loops in discrete spaces

Yinshan Chang, Yves Le Jan

The main topic of these notes are Markov loops, studied in the context of continuous time Markov chains on discrete state spaces. We refer to [1] and [2] for the short "history" of…

math.PR2013★ 3 cited

Loop cluster on the discrete circle

Yinshan Chang

The loop clusters of a Poissonian ensemble of Markov loops on a finite or countable graph have been studied in \cite{Markovian-loop-clusters-on-graphs}. In the present article, we…

math.PR2013

Multi-occupation field generates the Borel-sigma-field of loops

Yinshan Chang

In this article, we consider the space of càdlàg loops on a Polish space $S$ . The loop space can be equipped with a ``Skorokhod'' metric. Moreover, it is Polish under this metric.…

math.PR2012★ 1 cited

A convergence result on the lengths of Markovian loops

Yinshan Chang

Consider a sequence of Poisson point processes of non-trivial loops with certain intensity measures $(μ^{(n)})_{n}$ , where each $μ^{(n)}$ is explicitly determined by transition proba…

Quantitative Rigidity of pseudo-rotations on the two-torus and Sarnak's conjecture

Examples beyond Bounded Mean Motion for Quantitative Rigidity on the Two-Torus

Regularity, quantitative deviation, and non-rigidity of a lacunary skew product

Reinforced Loop Soup via Wilson's Algorithm

Percolation threshold for metric graph loop soup

Bernoulli hyper-edge percolation on Zd

On H2∣2 Isomorphism theorems and reinforced loop soup

Second order asymptotics for Krein indefinite multipliers with multiplicity two

On bifurcation of eigenvalues along convex symplectic paths

Two observations on the capacity of the range of simple random walks on Z3 and Z4

Supercritical loop percolation on Zd for d≥3

Phase transition in loop percolation

Markov loops in discrete spaces

Loop cluster on the discrete circle

Multi-occupation field generates the Borel-sigma-field of loops

A convergence result on the lengths of Markovian loops

On $H^{2∣2}$ Isomorphism theorems and reinforced loop soup

Two observations on the capacity of the range of simple random walks on $Z^{3}$ and $Z^{4}$

Supercritical loop percolation on $Z^{d}$ for $d \geq 3$