Random walks and contracting elements I: Deviation inequality and Limit laws
Fuente:
arXiv
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2022
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917043192725504 |
|---|---|
| author | Choi, Inhyeok |
| author_facet | Choi, Inhyeok |
| contents | We study random walks on metric spaces with contracting isometries. In this first article of the series, we establish sharp deviation inequalities by adapting Gouëzel's pivotal time construction. As an application, we establish the exponential bounds for deviation from below, central limit theorem, law of the iterated logarithms and the geodesic tracking of random walks on mapping class groups and CAT(0) spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_06597 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Random walks and contracting elements I: Deviation inequality and Limit laws Choi, Inhyeok Probability Group Theory Geometric Topology We study random walks on metric spaces with contracting isometries. In this first article of the series, we establish sharp deviation inequalities by adapting Gouëzel's pivotal time construction. As an application, we establish the exponential bounds for deviation from below, central limit theorem, law of the iterated logarithms and the geodesic tracking of random walks on mapping class groups and CAT(0) spaces. |
| title | Random walks and contracting elements I: Deviation inequality and Limit laws |
| topic | Probability Group Theory Geometric Topology |
| url | https://arxiv.org/abs/2207.06597 |