## Discrete Random Walks, DRW'03

### Cyril Banderier and Christian Krattenthaler (eds.)

### DMTCS Conference Volume AC (2003), pp. 301-308

author: | András Telcs |
---|---|

title: | The volume and time comparison principle and transition probability estimates for random walks |

keywords: | random walks, heat kernel estimates |

abstract: | 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. |

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reference: | András Telcs (2003), The
volume and time comparison principle and transition
probability estimates for random walks, in Discrete
Random Walks, DRW'03, Cyril Banderier and Christian
Krattenthaler (eds.), Discrete Mathematics and
Theoretical Computer Science Proceedings AC, pp.
301-308 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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Automatically produced on Di Sep 27 10:09:26 CEST 2005 by gustedt