Changjin Xu

activity

20172021

most citedGeometry of the random walk range conditioned on survival among Bernoulli obstacles

9 citations · 19 across the 7 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

math.PR2019★ 4 cited

Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles

Jian Ding, Ryoki Fukushima, Rongfeng Sun +1

Place an obstacle with probability $1 - p$ independently at each vertex of $Z^{d}$ and consider a simple symmetric random walk that is killed upon hitting one of the obstacles.…

math.PR2019★ 2 cited

Sharp threshold for the Ising perceptron model

Changji Xu

Consider the discrete cube ${- 1, 1}^{N}$ and a random collection of half spaces which includes each half space $H (x) := {y \in {- 1, 1}^{N} : x \cdot y \geq κ N}$ for $x \in \{…

math.PR2019★ 1 cited

Biased random walk conditioned on survival among Bernoulli obstacles: subcritical phase

Jian Ding, Ryoki Fukushima, Rongfeng Sun +1

We consider a discrete time biased random walk conditioned to avoid Bernoulli obstacles on $Z^{d}$ ( $d \geq 2$ ) up to time $N$ . This model is known to undergo a phase transi…