DOAJ Open Access 2003

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

András Telcs

Abstrak

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.

Topik & Kata Kunci

Penulis (1)

A

András Telcs

Format Sitasi

Telcs, A. (2003). The volume and time comparison principle and transition probability estimates for random walks. https://doi.org/10.46298/dmtcs.3334

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3334
Informasi Jurnal
Tahun Terbit
2003
Sumber Database
DOAJ
DOI
10.46298/dmtcs.3334
Akses
Open Access ✓