2 papers
math.PR2026
Graph distance and effective resistance of the four-dimensional random walk trace
Daisuke Shiraishi, Satomi Watanabe
Refining previous results, we establish a sharp asymptotic estimate on the expected graph distance between the origin and the terminal point of the trace of the first steps of…
math.PR2023
Annealed transition density of simple random walk on a high-dimensional loop-erased random walk
David A. Croydon, Daisuke Shiraishi, Satomi Watanabe
We derive sub-Gaussian bounds for the annealed transition density of the simple random walk on a high-dimensional loop-erased random walk. The walk dimension that appears in these…