Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866918007761010688 |
|---|---|
| author | Aggarwal, Gaurav Ghosh, Anish |
| author_facet | Aggarwal, Gaurav Ghosh, Anish |
| contents | We study non-expanding random walks on the space of affine lattices and establish a new classification theorem for stationary measures. Further, we prove a theorem that relates the genericity with respect to these random walks to Birkhoff genericity. Finally, we apply these theorems to obtain several results in inhomogeneous Diophantine approximation, especially on fractals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_15824 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation Aggarwal, Gaurav Ghosh, Anish Dynamical Systems Number Theory Probability 37A17, 11K60 We study non-expanding random walks on the space of affine lattices and establish a new classification theorem for stationary measures. Further, we prove a theorem that relates the genericity with respect to these random walks to Birkhoff genericity. Finally, we apply these theorems to obtain several results in inhomogeneous Diophantine approximation, especially on fractals. |
| title | Non-Expanding Random walks on Homogeneous spaces and Diophantine approximation |
| topic | Dynamical Systems Number Theory Probability 37A17, 11K60 |
| url | https://arxiv.org/abs/2406.15824 |