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 |
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Pages (from-to) | 153-171 |
Number of pages | 19 |
Journal | Communications in Mathematical Physics |
Volume | 233 |
Issue number | 1 |
DOIs | |
State | Published - Feb 2003 |
Externally published | Yes |