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Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces (Paperback)
Loot Price: R1,942
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Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces (Paperback)
Series: London Mathematical Society Lecture Note Series
Expected to ship within 12 - 17 working days
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The study of geodesic flows on homogenous spaces is an area of
research that has yielded some fascinating developments. This book,
first published in 2000, focuses on many of these, and one of its
highlights is an elementary and complete proof (due to Margulis and
Dani) of Oppenheim's conjecture. Also included here: an exposition
of Ratner's work on Raghunathan's conjectures; a complete proof of
the Howe-Moore vanishing theorem for general semisimple Lie groups;
a new treatment of Mautner's result on the geodesic flow of a
Riemannian symmetric space; Mozes' result about mixing of all
orders and the asymptotic distribution of lattice points in the
hyperbolic plane; Ledrappier's example of a mixing action which is
not a mixing of all orders. The treatment is as self-contained and
elementary as possible. It should appeal to graduate students and
researchers interested in dynamical systems, harmonic analysis,
differential geometry, Lie theory and number theory.
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