Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-23T13:35:52.617Z Has data issue: false hasContentIssue false
  • English
  • Français

The Average Displacement of the Simple Random Walk on the Sierpiński Graph

Published online by Cambridge University Press:  17 March 2003

ELMAR TEUFL
ELMAR TEUFL
Affiliation:
Institut für Mathematik, Technische Universität Graz, Steyrergasse 30, 8010 Graz, Austria (e-mail: [email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

We investigate the asymptotic behaviour of the average displacement of the simple random walk on the Sierpiński graph. The existence of an oscillating factor in this asymptotics is shown rigorously. The proof depends mainly on the analysis of the corresponding generating function. Using a functional equation and techniques from complex analysis we obtain the desired properties of this generating function.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 12 , Issue 2 , March 2003 , pp. 203 - 222
Copyright
2003 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)