Diagonalizable flows on locally homogeneous spaces and number theory

Manfred Einsiedler; Elon Lindenstrauss

Diagonalizable flows on locally homogeneous spaces and number theory

Research output: Contribution to conference › Paper › peer-review

21 Scopus citations

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	American English
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
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

Cite this

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title = "Diagonalizable flows on locally homogeneous spaces and number theory",

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.",

keywords = "Distribution of periodic orbits, Entropy, Ideal classes, Invariant measures, Littlewood's conjecture, Locally homogeneous spaces, Quantum unique ergodicity",

author = "Manfred Einsiedler and Elon Lindenstrauss",

year = "2006",

language = "American English",

pages = "1731--1759",

note = "25th International Congress of Mathematicians, ICM 2006 ; Conference date: 22-08-2006 Through 30-08-2006",

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T1 - Diagonalizable flows on locally homogeneous spaces and number theory

AU - Einsiedler, Manfred

AU - Lindenstrauss, Elon

PY - 2006

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AB - 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.

KW - Distribution of periodic orbits

KW - Entropy

KW - Ideal classes

KW - Invariant measures

KW - Littlewood's conjecture

KW - Locally homogeneous spaces

KW - Quantum unique ergodicity

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M3 - Paper

AN - SCOPUS:37849037302

SP - 1731

EP - 1759

T2 - 25th International Congress of Mathematicians, ICM 2006

Y2 - 22 August 2006 through 30 August 2006

ER -

Diagonalizable flows on locally homogeneous spaces and number theory

Abstract

Conference

Keywords

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Cite this