Riemann moduli spaces are quantum ergodic

Dean Baskin, Jesse Gell-Redman, Xiaolong Han

备注：: 15 pages; version 2: minor revisions suggested by referees

英文摘要：

In this note we show that the Riemann moduli spaces $M_{g, n}$ equipped with the Weil--Petersson metric are quantum ergodic for $3g+n \geq 4$. We also provide other examples of singular spaces with ergodic geodesic flow for which quantum ergodicity holds.

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