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Random Walks on Dihedral Groups

✍ Scribed by Joseph McCollum


Publisher
Springer US
Year
2010
Tongue
English
Weight
408 KB
Volume
24
Category
Article
ISSN
0894-9840

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πŸ“œ SIMILAR VOLUMES


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Let G be a finite group and E a generating set for G. Let P be a probability measure on G whose support is E. We define a random walk on G as follows. At the zeroth stage, we set w 0 =1. At the k th stage, we set w k =w k&1 x, where x # E is chosen with probability P(x). For g # G, the probability t

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✍ Wolfgang Woess πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 435 KB

The Green function of an arbitrary, finitely supported random walk on a discrete group with context-free word problem is algebraic. It is shown how this theorem can be deduced from basic results of formal language theory. Context-free groups are precisely the finite extensions of free groups.