| 000 | 03060nam a22005295i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-43059-1 | ||
| 003 | DE-He213 | ||
| 005 | 20210120150113.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 171218s2017 gw | s |||| 0|eng d | ||
| 020 |
_a9783319430591 _9978-3-319-43059-1 |
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_a10.1007/978-3-319-43059-1 _2doi |
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_aPBWR _2bicssc |
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_a515.39 _223 |
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_a515.48 _223 |
| 245 | 1 | 0 |
_aErgodic Theory and Negative Curvature _h[electronic resource] : _bCIRM Jean-Morlet Chair, Fall 2013 / _cedited by Boris Hasselblatt. |
| 250 | _a1st ed. 2017. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2017. |
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| 300 |
_aVII, 328 p. 68 illus., 17 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2164 |
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| 520 | _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. | ||
| 650 | 0 | _aDynamics. | |
| 650 | 0 | _aErgodic theory. | |
| 650 | 0 | _aDifferential geometry. | |
| 650 | 1 | 4 |
_aDynamical Systems and Ergodic Theory. _0https://scigraph.springernature.com/ontologies/product-market-codes/M1204X |
| 650 | 2 | 4 |
_aDifferential Geometry. _0https://scigraph.springernature.com/ontologies/product-market-codes/M21022 |
| 700 | 1 |
_aHasselblatt, Boris. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319430584 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783319430607 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2164 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-319-43059-1 |
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