Random walks on infinite self-similar graphs

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

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.
OriginalspracheEnglisch
Aufsatznummer46
ZeitschriftElectronic Journal of Probability
Jahrgang12
Seiten (von - bis)1258-1275
Anzahl der Seiten18
ISSN1083-6489
DOIs
PublikationsstatusErschienen - 15.10.2007
Extern publiziertJa

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