Late Points of Projections of Planar Symmetric Random Walks on the Lattice Torus

Title: Late Points of Projections of Planar Symmetric Random Walks on the Lattice Torus
Identifier: d_2009_2013:b3cdef644213:11290
identifier: 11710
Creator: Carlisle, Michael J.,
Contributor: Jay S. Rosen
Date: 2012
Language: English
Publisher: City University of New York.
Subject: Mathematics | lattice | probability | random walk | torus | two-dimensional
Abstract: We examine the cover time and set of late points of a symmetric random walk on Z2 projected onto the torus Z2K. This extends the work done for the simple random walk in [Late Points, DPRZ, 2006] to a large class of random walks. The approach uses comparisons between planar and toral hitting times and distributions on annuli, and uses only random walk methods. There are also generalizations of Green's functions, hitting times, and hitting distributions on Z 2 and Z2K which are of independent interest.
Type: dissertation
Source: 2009_2013.csv
degree: Ph.D.
Program: Mathematics

Media: Late Points of Projections of Planar Symmetric Random Walks on the Lattice Torus