English

Around quantum ergodicity

Analysis of PDEs 2021-06-29 v2 Mathematical Physics math.MP Spectral Theory

Abstract

We discuss Shnirelman's Quantum Ergodicity Theorem, giving an outline of a proof and an overview of some of the recent developments in mathematical Quantum Chaos.

Cite

@article{arxiv.2103.08093,
  title  = {Around quantum ergodicity},
  author = {Semyon Dyatlov},
  journal= {arXiv preprint arXiv:2103.08093},
  year   = {2021}
}

Comments

18 pages, 3 figures; minor revisions following the referee's comments. To appear special issue of Annales Math\'ematiques du Qu\'ebec in honor of Alexander Shnirelman's 75th birthday

R2 v1 2026-06-24T00:08:41.079Z