Positive transfer operators and decay of correlations:
Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant mea...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2000
|
| Schriftenreihe: | Advanced series in nonlinear dynamics
v. 16 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system "mixes", i.e. "forgets" its initial conditions. This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems. Links with dynamical zeta functions are explained. The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum |
| Beschreibung: | x, 314 p. ill |
| ISBN: | 9789812813633 |
Internformat
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| 520 | |a Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system "mixes", i.e. "forgets" its initial conditions. This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems. Links with dynamical zeta functions are explained. The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum | ||
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7246 |
| dewey-search | 515.7246 |
| dewey-sort | 3515.7246 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044636375 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:49Z |
| institution | BVB |
| isbn | 9789812813633 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030034345 |
| oclc_num | 1012683607 |
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| owner_facet | DE-92 |
| physical | x, 314 p. ill |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Advanced series in nonlinear dynamics |
| spelling | Baladi, Viviane Verfasser aut Positive transfer operators and decay of correlations Viviane Baladi Singapore World Scientific Pub. Co. c2000 x, 314 p. ill txt rdacontent c rdamedia cr rdacarrier Advanced series in nonlinear dynamics v. 16 Although individual orbits of chaotic dynamical systems are by definition unpredictable, the average behavior of typical trajectories can often be given a precise statistical description. Indeed, there often exist ergodic invariant measures with special additional features. For a given invariant measure, and a class of observables, the correlation functions tell whether (and how fast) the system "mixes", i.e. "forgets" its initial conditions. This book, addressed to mathematicians and mathematical (or mathematically inclined) physicists, shows how the powerful technology of transfer operators, imported from statistical physics, has been used recently to construct relevant invariant measures, and to study the speed of decay of their correlation functions, for many chaotic systems. Links with dynamical zeta functions are explained. The book is intended for graduate students or researchers entering the field, and the technical prerequisites have been kept to a minimum Linear operators Transferoperator (DE-588)4846596-3 gnd rswk-swf Ergodensatz (DE-588)4152756-2 gnd rswk-swf Zeitdiskretes System (DE-588)4127297-3 gnd rswk-swf Transferoperator (DE-588)4846596-3 s Zeitdiskretes System (DE-588)4127297-3 s Ergodensatz (DE-588)4152756-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810233280 Erscheint auch als Druck-Ausgabe 9810233280 http://www.worldscientific.com/worldscibooks/10.1142/3657#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Baladi, Viviane Positive transfer operators and decay of correlations Linear operators Transferoperator (DE-588)4846596-3 gnd Ergodensatz (DE-588)4152756-2 gnd Zeitdiskretes System (DE-588)4127297-3 gnd |
| subject_GND | (DE-588)4846596-3 (DE-588)4152756-2 (DE-588)4127297-3 |
| title | Positive transfer operators and decay of correlations |
| title_auth | Positive transfer operators and decay of correlations |
| title_exact_search | Positive transfer operators and decay of correlations |
| title_full | Positive transfer operators and decay of correlations Viviane Baladi |
| title_fullStr | Positive transfer operators and decay of correlations Viviane Baladi |
| title_full_unstemmed | Positive transfer operators and decay of correlations Viviane Baladi |
| title_short | Positive transfer operators and decay of correlations |
| title_sort | positive transfer operators and decay of correlations |
| topic | Linear operators Transferoperator (DE-588)4846596-3 gnd Ergodensatz (DE-588)4152756-2 gnd Zeitdiskretes System (DE-588)4127297-3 gnd |
| topic_facet | Linear operators Transferoperator Ergodensatz Zeitdiskretes System |
| url | http://www.worldscientific.com/worldscibooks/10.1142/3657#t=toc |
| work_keys_str_mv | AT baladiviviane positivetransferoperatorsanddecayofcorrelations |