Work

Random walks and contracting elements II: Translation length and quasi-isometric embedding

Year: 2024

Type: article

Abstract: Continuing from Choi (2022), we study random walks on metric spaces with contracting elements. We prove that random subgroups of the isometry group of a metric space are quasi-isometrically embedded into the space. We discuss this problem in two ways, namely in the sense of random walks and counting problem. We also establish the genericity of contracting elements and the central limit theorem and its converse for translation length.

Source: Groups Geometry and Dynamics

DOI: 10.4171/ggd/831

Author: Inhyeok Choi

Institution: Korea Institute for Advanced Study

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: American Institute of Mathematics, Samsung

Award: G3794554740