Abstract
We discuss dynamical properties of actions of diagonalizable groups on locally homogeneous spaces, particularly their invariant measures, and present some number theoretic and spectral applications. Entropy plays a key role in the study of theses invariant measures and in the applications.
Original language | English |
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Pages | 1731-1759 |
Number of pages | 29 |
State | Published - 2006 |
Externally published | Yes |
Event | 25th International Congress of Mathematicians, ICM 2006 - Madrid, Spain Duration: 22 Aug 2006 → 30 Aug 2006 |
Conference
Conference | 25th International Congress of Mathematicians, ICM 2006 |
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Country/Territory | Spain |
City | Madrid |
Period | 22/08/06 → 30/08/06 |
Keywords
- Distribution of periodic orbits
- Entropy
- Ideal classes
- Invariant measures
- Littlewood's conjecture
- Locally homogeneous spaces
- Quantum unique ergodicity