Entropy of quantum limits

Jean Bourgain; Elon Lindenstrauss

doi:10.1007/s00220-002-0770-8

Entropy of quantum limits

Jean Bourgain^*, Elon Lindenstrauss

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

37 Scopus citations

Abstract

In this paper we show that any measure arising as a weak* limit of microlocal lifts of eigenfunctions of the Laplacian on certain arithmetic manifolds have dimension at least 11/9, and in particular all ergodic components of this measure with respect to the geodesic flow have positive entropy.

Original language	English
Pages (from-to)	153-171
Number of pages	19
Journal	Communications in Mathematical Physics
Volume	233
Issue number	1
DOIs	https://doi.org/10.1007/s00220-002-0770-8
State	Published - Feb 2003
Externally published	Yes

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Entropy of quantum limits

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