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arXiv · 1908.06949

Riemann moduli spaces are quantum ergodic

Dean Baskin·Jesse Gell-Redman·Xiaolong Han
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Abstract

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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Dean Baskin, Jesse Gell-Redman, Xiaolong Han. 2019-08-19. Riemann moduli spaces are quantum ergodic. https://arxiv.org/abs/1908.06949

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