The multifractal spectrum of harmonic measure for forward moving random walks on a Galton-Watson tree
Adam L. Kinnison
Statistics & Probability Letters, 2008, vol. 78, issue 17, 3114-3121
Abstract:
Given a rooted tree T in which every vertex has at least one offspring, the harmonic measure for forward moving random walk on the boundary [not partial differential]T is defined as the distribution of the path of a random particle starting at the root and moving, independently at each time step, to a randomly picked child of the current vertex. We show that the harmonic measure for forward moving random walk is multifractal and determine its multifractal spectrum.
Date: 2008
References: View complete reference list from CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(08)00279-4
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:78:y:2008:i:17:p:3114-3121
Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01
Access Statistics for this article
Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul
More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().