Riemann moduli spaces are quantum ergodic
Analysis of PDEs
2021-03-31 v2 Differential Geometry
Spectral Theory
Abstract
In this note we show that the Riemann moduli spaces equipped with the Weil--Petersson metric are quantum ergodic for . We also provide other examples of singular spaces with ergodic geodesic flow for which quantum ergodicity holds.
Keywords
Cite
@article{arxiv.1908.06949,
title = {Riemann moduli spaces are quantum ergodic},
author = {Dean Baskin and Jesse Gell-Redman and Xiaolong Han},
journal= {arXiv preprint arXiv:1908.06949},
year = {2021}
}
Comments
15 pages; version 2: minor revisions suggested by referees