English

Entropy Theory for Random Walks on Lie Groups

Probability 2026-02-03 v3 Dynamical Systems

Abstract

We develop entropy and variance results for the product of independent identically distributed random variables on Lie groups. Our results apply to the study of stationary measures in various contexts.

Keywords

Cite

@article{arxiv.2501.05395,
  title  = {Entropy Theory for Random Walks on Lie Groups},
  author = {Samuel Kittle and Constantin Kogler},
  journal= {arXiv preprint arXiv:2501.05395},
  year   = {2026}
}

Comments

18 pages. Appeared version at the Journal of Theoretical Probability

R2 v1 2026-06-28T21:01:38.071Z