We give a proof of the sublinear tracking property for sample paths of random walks on various groups acting on spaces with hyperbolic-like properties. As an application, we prove sublinear tracking in Teichmüller distance for random walks on mapping class groups and on Cayley graphs of a large class of finitely generated groups.
Sublinear deviation between geodesics and sample paths / Tiozzo, G.. - In: DUKE MATHEMATICAL JOURNAL. - ISSN 0012-7094. - 164:3(2015), pp. 511-539. [10.1215/00127094-2871197]
Sublinear deviation between geodesics and sample paths
Tiozzo G.
2015
Abstract
We give a proof of the sublinear tracking property for sample paths of random walks on various groups acting on spaces with hyperbolic-like properties. As an application, we prove sublinear tracking in Teichmüller distance for random walks on mapping class groups and on Cayley graphs of a large class of finitely generated groups.File allegati a questo prodotto
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
