Work

Amenability via random walks

Year: 2005

Type: article

Abstract: We use random walks to show that the Basilica group is amenable and thus answering an open question of Grigorchuk and Żuk [9]. Our results separate the class of amenable groups from the closure of subexponentially growing groups under the operations of group extension and direct limits; these classes are separated even within the realm of finitely presented groups.

Source: Duke Mathematical Journal

DOI: 10.1215/s0012-7094-05-13012-5

Authors: Laurent Bartholdi, Bálint Virág

Institutions: École Polytechnique Fédérale de Lausanne, University of Toronto

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: Randomness and Geometric Structures