Abstract
On the space of unimodular lattices, we construct a sequence of invariant probability measures under a singular diagonal element with high entropy and show that the limit measure is 0.
Translated title of the contribution | Positive Entropy Invariant Measures on the Space of Lattices with Escape of Mass |
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Original language | English |
Pages (from-to) | 141-157 |
Number of pages | 17 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 32 |
Issue number | 1 |
Early online date | 27 Jan 2011 |
DOIs | |
Publication status | Published - Feb 2012 |