000			01871cam a2200253 a 4500
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005			20250603120518.0
008			000929s2000 enka b 001 0 eng d
020			_a9780521660303
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB25 P0 NBHM _qCSL
100	1		_aBekka, M. Bachir. _9513043
245	1	0	_aErgodic theory and topological dynamics of group actions on homogeneous spaces
260			_aCambridge ; _bCambridge University Press, _c2000.
300			_ax, 200 p. : _bill. ; _c23 cm.
490			_aLondon Mathematical Society lecture note series ; _v269
504			_aIncludes bibliographical references and index.
520			_aThe 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.
650		0	_aErgodic theory. _9811393
650		0	_aTopological dynamics. _9811422
700	1		_aMayer, M. _eco-author _9811536
942			_2CC _n0 _cTEXL _hB25 P0 NBHM
999			_c1431358 _d1431358