Quantum unique ergodicity for Eisenstein series on $PSL_2({\Bbb Z}\backslash PSL_2({\Bbb R})$
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چکیده
منابع مشابه
Note on Quantum Unique Ergodicity
The purpose of this note is to record an observation about quantum unique ergodicity (QUE) which is relevant to the recent construction of H. Donnelly [D] of quasi-modes on nonpositively curved surfaces and to similar examples known as bouncing ball modes [BSS, H] on stadia. It gives a rigorous proof of a localization statement of Heller-O’Connor [HO] for eigenfunctions of the stadium. The rele...
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We construct an equivariant microlocal lift for locally symmetric spaces. In other words, we demonstrate how to lift, in a “semicanonical” fashion, limits of eigenfunction measures on locally symmetric spaces to Cartan-invariant measures on an appropriate bundle. The construction uses elementary features of the representation theory of semisimple real Lie groups, and can be considered a general...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 1994
ISSN: 0373-0956
DOI: 10.5802/aif.1442