6 citations · 22 across the 14 of their papers we have counts for
11 papers · 1 filter
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…
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…
Bernoulli hyper-edge percolation on Zd
Yinshan Chang
We consider Bernoulli hyper-edge percolation on . This model is a generalization of Bernoulli bond percolation. An edge connects exactly two vertices and a hyper-edge…
On 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 field, introduced in [2] and [3], are annealed version…
Two observations on the capacity of the range of simple random walks on and
Yinshan Chang
We prove a weak law of large numbers for the capacity of the range of simple random walks on . On , we show that the capacity, properly scaled, conv…
Supercritical loop percolation on for
Yinshan Chang
In this paper, we are interested in the loop cluster model on for . It is a long range model with two parameters and , where the non-negative paramet…
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…
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…
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…
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 . The loop space can be equipped with a ``Skorokhod'' metric. Moreover, it is Polish under this metric.…
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 , where each is explicitly determined by transition proba…