9 citations · 19 across the 7 of their papers we have counts for
7 papers
Frozen -RSB structure of the symmetric Ising perceptron
Will Perkins, Changji Xu
We prove, under an assumption on the critical points of a real-valued function, that the symmetric Ising perceptron exhibits the `frozen 1-RSB' structure conjectured by Krauth and…
Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles
Jian Ding, Ryoki Fukushima, Rongfeng Sun +1
Place an obstacle with probability independently at each vertex of and consider a simple symmetric random walk that is killed upon hitting one of the obstacles.…
Sharp threshold for the Ising perceptron model
Changji Xu
Consider the discrete cube and a random collection of half spaces which includes each half space for $x \in \{…
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 () up to time . This model is known to undergo a phase transi…
Localization for random walks among random obstacles in a single Euclidean ball
Jian Ding, Changji Xu
Place an obstacle with probability independently at each vertex of , and run a simple random walk until hitting one of the obstacles. For and stric…
Geometry of the random walk range conditioned on survival among Bernoulli obstacles
Jian Ding, Ryoki Fukushima, Rongfeng Sun +1
We consider a discrete time simple symmetric random walk among Bernoulli obstacles on , , where the walk is killed when it hits an obstacle. It is known that…
Poly-logarithmic localization for random walks among random obstacles
Jian Ding, Changji Xu
Place an obstacle with probability independently at each vertex of , and run a simple random walk until hitting one of the obstacles. For and stric…