Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Scaling limit for the random walk on the largest connected component of the critical random graph

Tools
- Tools
+ Tools

Croydon, David A. (2012) Scaling limit for the random walk on the largest connected component of the critical random graph. Research Institute for Mathematical Sciences. Publications, Vol.48 (No.2). pp. 279-338. doi:10.2977/PRIMS/70

[img]
Preview
PDF
WRAP_Croydon_crg_revise.pdf - Submitted Version - Requires a PDF viewer.

Download (363Kb)
Official URL: http://dx.doi.org/10.2977/PRIMS/70

Request Changes to record.

Abstract

In this article, a scaling limit for the simple random walk on the largest connected
component of the Erdos-Rényi random graph G(n,p) in the critical window,
p = n−1+λn−4/3, is deduced. The limiting diffusion is constructed using resistance
form techniques, and is shown to satisfy the same quenched short-time heat kernel
asymptotics as the Brownian motion on the continuum random tree.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Random walks (Mathematics)
Journal or Publication Title: Research Institute for Mathematical Sciences. Publications
Publisher: European Mathematical Society Publishing House
ISSN: 1663-4926
Official Date: 2012
Dates:
DateEvent
2012Published
Volume: Vol.48
Number: No.2
Page Range: pp. 279-338
DOI: 10.2977/PRIMS/70
Status: Not Peer Reviewed
Publication Status: Published

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: publications@live.warwick.ac.uk
Contact Details
About Us