Entropy of quantum limits

Jean Bourgain*, Elon Lindenstrauss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

37 Scopus citations


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 languageAmerican English
Pages (from-to)153-171
Number of pages19
JournalCommunications in Mathematical Physics
Issue number1
StatePublished - Feb 2003
Externally publishedYes


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