منابع مشابه
Branching on a Sierpinski graph
∧ explicitly with a number of recursive formulas concerning the probability generating functions EtY (k), k ≥ 1. A section is also devoted to the analysis of extinction probabilities for the branching process developing in this specific fractal set. © 2008 Published by Elsevier B.V.
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Asymptotically one-dimensional diffusions on the Sierpinski gasket constitute a one parameter family of processes with significantly different behaviour to the Brownian motion. Due to homogenization effects they behave globally like the Brownian motion, yet locally they have a preferred direction of motion. We calculate the spectral dimension for these processes and obtain short time heat kerne...
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The different manners of embedding subgraphs of many disjoint edges in a parent graph arise in several different chemical and physical contexts. The problem of enumeration, or more generally of weighted summation, of such embeddings seems quite difficult to treat quantitatively, at least for general extended graphs. The special extended parent graph treated here with the inclusion of interactio...
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ژورنال
عنوان ژورنال: Statistics & Probability Letters
سال: 2009
ISSN: 0167-7152
DOI: 10.1016/j.spl.2008.07.032