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Transition probabilities for the simple random walk on the Sierpinski graph

Record type: Article

Non-Gaussian upper and lower bounds are obtained for the transition probabilities of the simple random walk on the Sierpinski graph, the pre-fractal associated with the Sierpinski gasket. They are of the same form as bounds previously obtained for the transition density of Brownian motion on the Sierpinski gasket, subject to a scale restriction. A comparison with transition density bounds for random walks on general graphs demonstrates that this restriction represents the scale at which the pre-fractal graph starts to look like the fractal gasket.

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Citation

Motulevich, V.P. and Jones, O.D. (1996) Transition probabilities for the simple random walk on the Sierpinski graph Stochastic Processes and their Applications, 61, (1), pp. 45-69. (doi:10.1016/0304-4149(95)00074-7).

More information

Published date: 1996
Keywords: heat transfer, chemical reaction, boundary layer, heat source, [ams classification codes] 60J15, random walk, fractal, transition probability
Organisations: Operational Research

Identifiers

Local EPrints ID: 29678
URI: http://eprints.soton.ac.uk/id/eprint/29678
ISSN: 0304-4149
PURE UUID: f872e9fd-7294-4b98-bcd7-eb33177f67b1

Catalogue record

Date deposited: 14 Mar 2007
Last modified: 17 Jul 2017 15:57

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Contributors

Author: V.P. Motulevich
Author: O.D. Jones

University divisions


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