Abstract
In this note we show that the Riemann moduli spaces $M_{\gamma,n}$ equipped with the Weil–Petersson metric are quantum ergodic for $3 \gamma + n \geq 4$. We also provide other examples of singular spaces with ergodic geodesic flow for which quantum ergodicity holds.
Citation
Dean Baskin. Jesse Gell-Redman. Xiaolong Han. "Riemann moduli spaces are quantum ergodic." J. Differential Geom. 123 (3) 391 - 410, March 2023. https://doi.org/10.4310/jdg/1683307003
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