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 |
|---|---|
| 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 |
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