English

Arithmetic unique ergodicity for infinite dimensional flat bundles

Dynamical Systems 2024-11-20 v1 Number Theory

Abstract

In this paper, we prove a uniform version of quantum unique ergodicity for high-frequency eigensections of a certain series of unitary flat bundles over arithmetic surfaces.

Keywords

Cite

@article{arxiv.2411.12302,
  title  = {Arithmetic unique ergodicity for infinite dimensional flat bundles},
  author = {Qiaochu Ma},
  journal= {arXiv preprint arXiv:2411.12302},
  year   = {2024}
}

Comments

17 pages, Comments are welcome!

R2 v1 2026-06-28T20:04:40.747Z