5 citations · 11 across the 5 of their papers we have counts for
5 papers
Late Points and Cover Times of Projections of Planar Symmetric Random Walks on the Lattice Torus
Michael Carlisle
We examine the sets of late points of a symmetric random walk on projected onto the torus , culminating in a limit theorem for the cover time of the toral random walk.…
Harnack Inequalities of Hitting Distributions of Projections of Planar Symmetric Random Walks on the Lattice Torus
Michael Carlisle
We give Harnack inequalities for the hitting distributions of a large family of symmetric random walks on , and their projections onto the lattice torus . This extend…
On Escaping, Entering, and Visiting Discs of Projections of Planar Symmetric Random Walks on the Lattice Torus
Michael Carlisle
We examine escape and entrance times, Green's functions, local times, and hitting distributions of discs and annuli of a symmetric random walk on projected onto the periodic…
On the Escape of a Random Walk From Two Pieces of a Tripartite Set
Michael Carlisle
Let be a partition of a sample space . For a random walk starting at , we find estimates for the Green's function $G_{A \cup…
On Upper Bounds for Toroidal Mosaic Numbers
Michael J. Carlisle, Michael S. Laufer
In this paper, we work to construct mosaic representations of knots on the torus, rather than in the plane. This consists of a particular choice of the ambient group, as well as di…