Occupation time for classical and quantum walks
Quantum Physics
2020-12-15 v1 Mathematical Physics
math.MP
Abstract
This is a personal tribute to Lance Littlejohn on the occasion of his 70th birthday. It is meant as a present to him for many years of friendship. It is not written in the "Satz-Beweis" style of Edmund Landau or even in the format of a standard mathematics paper. It is rather an invitation to a fairly new, largely unexplored, topic in the hope that Lance will read it some afternoon and enjoy it. If he cares about complete proofs he will have to wait a bit longer; we almost have them but not in time for this volume. We hope that the figures will convince him and other readers that the phenomena displayed here are interesting enough.
Cite
@article{arxiv.2012.07786,
title = {Occupation time for classical and quantum walks},
author = {F. A. Grunbaum and L. Velazquez and J. Wilkening},
journal= {arXiv preprint arXiv:2012.07786},
year = {2020}
}
Comments
16 pages, 5 figures