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Random walks on infinite self-similar graphs

Research output: Journal contributions › Journal articles › Research › peer-review

Authors

We introduce a class of rooted infinite self-similar graphs containing the well known Fibonacci graph and graphs associated with Pisot numbers. We consider directed random walks on these graphs and study their entropy and their limit measures. We prove that every infinite self-similar graph has a random walk of full entropy and that the limit measures of this random walks are absolutely continuous.
Original languageEnglish
Article number46
JournalElectronic Journal of Probability
Volume12
Pages (from-to)1258-1275
Number of pages18
ISSN1083-6489
DOIs
Publication statusPublished - 15.10.2007
Externally publishedYes

Other publications by the same author(s)

Return of Fibonacci random walks

Neunhäuserer, J., 01.02.2017, In: Statistics and Probability Letters. 121, p. 51-53 3 p.

Research output: Journal contributions › Journal articles › Research › peer-review

Nonuniform Markov geometric measures

Neunhäuserer, J., 2015, In: Communications in Mathematical Analysis . 18, 1, p. 36-47 12 p.

Research output: Journal contributions › Journal articles › Research › peer-review

Absolutely continuous random power series in reciprocals of Pisot numbers

Neunhäuserer, J., 02.2013, In: Statistics and Probability Letters. 83, 2, p. 431-435 5 p.

Research output: Journal contributions › Journal articles › Research › peer-review

A construction of singular overlapping asymmetric self-similar measures

Neunhäuserer, J., 12.2006, In: Acta Mathematica Hungarica. 113, 4, p. 333-343 11 p.

Research output: Journal contributions › Journal articles › Research › peer-review

A family of exceptional parameters for non-uniform self-similar measures

Neunhäuserer, J., 12.04.2011, In: Electronic Communications in Probability. 16, p. 192-199 8 p., 19.

Research output: Journal contributions › Journal articles › Research › peer-review

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