| 000 | 02297nam a22003618i 4500 | ||
|---|---|---|---|
| 001 | CR9781107359987 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160220.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 130306s1998||||enk o ||1 0|eng|d | ||
| 020 | _a9781107359987 (ebook) | ||
| 020 | _z9780521594202 (hardback) | ||
| 020 | _z9780521595346 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA611.5 _b.K45 1998 |
| 082 | 0 | 0 |
_a515/.42 _221 |
| 100 | 1 |
_aKeller, Gerhard, _d1954- _eauthor. |
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| 245 | 1 | 0 |
_aEquilibrium states in ergodic theory / _cGerhard Keller. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c1998. |
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| 300 |
_a1 online resource (ix, 178 pages) : _bdigital, PDF file(s). |
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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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| 490 | 1 |
_aLondon Mathematical Society student texts ; _v42 |
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| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 520 | _aThis book provides a detailed introduction to the ergodic theory of equilibrium states giving equal weight to two of its most important applications, namely to equilibrium statistical mechanics on lattices and to (time discrete) dynamical systems. It starts with a chapter on equilibrium states on finite probability spaces which introduces the main examples for the theory on an elementary level. After two chapters on abstract ergodic theory and entropy, equilibrium states and variational principles on compact metric spaces are introduced emphasizing their convex geometric interpretation. Stationary Gibbs measures, large deviations, the Ising model with external field, Markov measures, Sinai-Bowen-Ruelle measures for interval maps and dimension maximal measures for iterated function systems are the topics to which the general theory is applied in the last part of the book. The text is self contained except for some measure theoretic prerequisites which are listed (with references to the literature) in an appendix. | ||
| 650 | 0 | _aErgodic theory. | |
| 650 | 0 | _aDifferentiable dynamical systems. | |
| 776 | 0 | 8 |
_iPrint version: _z9780521594202 |
| 830 | 0 |
_aLondon Mathematical Society student texts ; _v42. |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9781107359987 |
| 999 |
_c516697 _d516695 |
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