Dynamical systems on homogeneous spaces
A homogeneous flow is a dynamical system generated by the action of a closed subgroup H of a Lie group G on a homogeneous space of G. The study of such systems is of great significance because they constitute an algebraic model for more general and more complicated systems. Also, there are abundant applications to other fields of mathematics, most notably to number theory. The present book gives an extensive survey of the subject. In the first chapter the author discusses ergodicity and mixing …
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- Full title :Dynamical systems on homogeneous spaces / Alexander N. Starkov.
Summary
A homogeneous flow is a dynamical system generated by the action of a closed subgroup H of a Lie group G on a homogeneous space of G. The study of such systems is of great significance because they constitute an algebraic model for more general and more complicated systems. Also, there are abundant applications to other fields of mathematics, most notably to number theory. The present book gives an extensive survey of the subject. In the first chapter the author discusses ergodicity and mixing of homogeneous flows. The second chapter is focused on unipotent flows, for which substantial progres.
Read More ↓Edition Statements
- Publication Date:2000.
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, RI
- Language:eng
- Publication Date:2000.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9781470446048, 1470446049
- oclc:on1031918346
- LC Classification:QA614.82.S7313 2000
- Dewey Decimal:515/.352
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