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• W2059059474 startingPage "165" @default.
• W2059059474 abstract "We classify measures on the locally homogeneous space ?i SL(2,R) ?~ L which are invariant and have positive entropy under the diagonal subgroup of SL(2,R) and recurrent under L. This classification can be used to show arithmetic quantum unique ergodicity for compact arithmetic surfaces, and a similar but slightly weaker result for the finite volume case. Other applications are also presented. In the appendix, joint with D. Rudolph, we present a maximal ergodic theorem, related to a theorem of Hurewicz, which is used in theproof of the main result." @default.
• W2059059474 created "2016-06-24" @default.
• W2059059474 creator A5052232750 @default.
• W2059059474 date "2006-01-01" @default.
• W2059059474 modified "2023-10-18" @default.
• W2059059474 title "Invariant measures and arithmetic quantum unique ergodicity" @default.
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• W2059059474 doi "https://doi.org/10.4007/annals.2006.163.165" @default.
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