András Telcs - The volume and time comparison principle and transition probability estimates for random walks

dmtcs:3334 - Discrete Mathematics & Theoretical Computer Science, January 1, 2003, DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03) - https://doi.org/10.46298/dmtcs.3334
The volume and time comparison principle and transition probability estimates for random walks

Authors: András Telcs 1

  • 1 Department of Computer Science [Budapest]

This paper presents necessary and sufficient conditions for on- and off-diagonal transition probability estimates for random walks on weighted graphs. On the integer lattice and on may fractal type graphs both the volume of a ball and the mean exit time from a ball are independent of the center, uniform in space. Here the upper estimate is given without such restriction and two-sided estimate is given if the mean exit time is independent of the center but the volume is not.


Volume: DMTCS Proceedings vol. AC, Discrete Random Walks (DRW'03)
Section: Proceedings
Published on: January 1, 2003
Imported on: May 10, 2017
Keywords: random walks,heat kernel estimates,[INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS],[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM],[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-CG] Computer Science [cs]/Computational Geometry [cs.CG]

Linked publications - datasets - softwares

Source : ScholeXplorer IsRelatedTo DOI 10.1017/cbo9780511470967
  • 10.1017/cbo9780511470967
  • 10.1017/cbo9780511470967
Random Walks on Infinite Graphs and Groups

Consultation statistics

This page has been seen 160 times.
This article's PDF has been downloaded 314 times.