000			02022nam 2200325| 4500
001			85032
005			20220121164256.0
010			_a978-3-319-43059-1 _dcompra
090			_a85032
100			_a20190128d2017 k||y0pory50 ba
101	0		_aeng
102			_aUS
200	1		_aErgodic theory and negative curvature _bDocumento electrónico _eCIRM Jean-Morlet Chair, Fall 2013 _fedited by Boris Hasselblatt
210			_aCham _cSpringer International Publishing _cSpringer _d2017
215			_aVII, 328 p. _cil.
225	2		_aLecture Notes in Mathematics
300			_aColocação: Online
303			_aFocussing on the mathematics related to the recent proof of ergodicity of the (Weil–Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research. It offers original textbook-level material suitable for introductory or advanced courses as well as deep insights into the state of the art of the field, making it useful as a reference and for self-study.  The first chapters introduce hyperbolic dynamics, ergodic theory and geodesic and horocycle flows, and include an English translation of Hadamard's original proof of the Stable-Manifold Theorem. An outline of the strategy, motivation and context behind the ergodicity proof is followed by a careful exposition of it (using the Hopf argument) and of the pertinent context of Teichmüller theory. Finally, some complementary lectures describe the deep connections between geodesic flows in negative curvature and Diophantine approximation.
410	1		_x0075-8434 _v2164
606			_aGeometria diferencial
606			_aTeoria ergódica
606			_aSistemas dinâmicos diferenciais
680			_aQA641
702			_960680 _aHasselblatt _bBoris _4340
801		0	_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-319-43059-1
942			_2lcc _cF _n0