Regularity of the Drift and Entropy of Random Walks on Groups

Lorenz Alexander Gilch, Francois Ledrappier

Research output: Contribution to journalArticle

Abstract

Random walks on a group G model many natural phenomena. A random walk
is defined by a probability measure p on G. We are interested in global asymptotic
properties of the random walks and in particular in the linear drift and the asymptotic
entropy. If the geometry of the group is rich, then these numbers are both positive and
the way of dependence on p is some global property of G. In this note, we review recent
results about the regularity of the drift and the entropy in some examples.
Original languageEnglish
Pages (from-to)147-158
JournalPublicaciones Matematicas del Uruguay
Volume14
Publication statusPublished - 2013

Fields of Expertise

  • Sonstiges

Treatment code (Nähere Zuordnung)

  • Theoretical

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