D. Shiraishi

activity

20112022

collaborators

5 papers

math.PR2022

Volume and heat kernel fluctuations for the three-dimensional uniform spanning tree

Daisuke Shiraishi, Satomi Watanabe

Let $U$ be the uniform spanning tree on $Z^{3}$ . We show the occurrence of log-logarithmic fluctuations around the leading order for the volume of intrinsic ball…

math.PR2020

The number of spanning clusters of the uniform spanning tree in three dimensions

Omer Angel, David A. Croydon, Sarai Hernandez-Torres +1

Let $U_{δ}$ be the uniform spanning tree on $δ Z^{3}$ . A spanning cluster of $U_{δ}$ is a connected component of the restriction of $U_{δ}$ to th…

math.PR2018

One-point function estimates for loop-erased random walk in three dimensions

Xinyi Li, Daisuke Shiraishi

In this work, we consider loop-erased random walk (LERW) in three dimensions and give an asymptotic estimate on the one-point function for LERW and the non-intersection probability…

math.PR2016

Hausdorff dimension of the scaling limit of loop-erased random walk in three dimensions

Daisuke Shiraishi

Let $M_{n}$ be the length (number of steps) of the loop-erasure of a simple random walk up to the first exit from a ball of radius $n$ centered at its starting point. It is shown i…

math.PR2011

Two-sided random walks conditioned to have no intersections

Daisuke Shiraishi

Let $S^{1}, S^{2}$ be independent simple random walks in $Z^{d}$ ( $d = 2, 3$ ) started at the origin. We construct two-sided random walk paths conditioned that $S^{1}[0,\infty)…