Aspects of ergodic, qualitative and statistical theory of motion:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English Italian |
| Published: |
Berlin
Springer
2004
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| Series: | Texts and monographs in physics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 435 S. graph. Darst. |
| ISBN: | 3540408797 9783540408796 |
Staff View
MARC
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| 245 | 1 | 0 | |a Aspects of ergodic, qualitative and statistical theory of motion |c G. Gallavotti ; F. Bonetto ; G. Gentile |
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| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Ergodic theory | |
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Record in the Search Index
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| adam_text | G. GENTILE G. GALLAVOTTI F. BONETTO ASPECTS OF ERGODIC, QUALITATIVE AND
STATISTICAL THEORY OF MOTION WITH 38 FIGURES SPRINGER CONTENTS 1 GENERAL
QUALITATIVE PROPERTIES ........................... 1 1.1 HISTORICAL NOTE
......................................... 1 1.2 EXAMPLES AND SOME
DEFINITIONS .......................... 3 1.3 AS DYNAMICAL SYSTEMS
............... ................ 13 1.4 FREQUENCIES OF VISIT
.................. ................ 17 2 ERGODICITY AND ERGODIC POINTS
............................ 27 HARMONIC OSCILLATORS AND INTEGRABLE
SYSTEMS 2.1 QUASI-PERIODIC MOTIONS AND INTEGRABILITY ............... 27
2.2 ERGODIC PROPERTIES OF QUASI-PERIODIC MOTIONS . ERGODIC SEQUENCES AND
MEASURES ....... ............... 32 2.3 ERGODIC POINTS
............................ ......... 52 2.4 ERGODIC DECOMPOSITION
.................................. 62 3 ENTROPY AND COMPLEXITY
.................................. 73 3.1 COMPLEXITY OF MOTIONS AND
ENTROPY ...................... 73 3.2 THE SHANNON-MCMILLAN THEOREM
......................... 81 3.3 ELEMENTARY PROPERTIES OF THE AVERAGE
ENTROPY ............. 92 3.4 FURTHER PROPERTIES OF THE AVERAGE ENTROPY .
GENERATOR THEOREM ..................................... 99 4 MARKOVIAN
PAVEMENTS .................................... 109 COMPATIBILITY OF
HISTORIES . MARKOVIAN PAVEMENTS ........... 109 MARKOVIAN PAVEMENTS FOR
HYPERBOLIC SYSTEMS .............. 119 CODING OF THE VOLUME MEASURE OF
SMOOTH HYPERBOLIC SYSTEMS ........................... 141 5 GIBBS
DISTRIBUTIONS ....................................... 155 5.1 GIBBS
DISTRIBUTIONS ..................................... 155 5.2 PROPERTIES
OF GIBBS DISTRIBUTIONS ......................... 165 5.3 GIBBS
DISTRIBUTIONS ON Z+ ............................... 170 5.4 AN
APPLICATION: EXPANSIVE MAPS OF [0, 1] .................. 180 GENERAL
PROPERTIES OF GIBBS AND SRB DISTRIBUTIONS ...... 189 6.1 VARIATIONAL
PROPERTIES OF GIBBS DISTRIBUTIONS .............. 189 6.2 APPLICATIONS TO
ANOSOV SYSTEMS . SRB DISTRIBUTION ......... 199 4.1 4.2 4.3 6 X CONTENTS
6.3 6.4 EQUIVALENT POTENTIALS . PERIODIC ORBITS. INVARIANT PROBABILITY
DISTRIBUTIONS AND ENTROPY ...........................................
208 GIBBS DISTRIBUTIONS WITH TRANSITIVE VACUUM ............... 216 7
ANALYTICITY. SINGULARITY AND PHASE TRANSITIONS ............ 227 7.1
POLYMERS .............................................. 227 7.2 CLUSTER
EXPANSIONS ..................................... 240 7.3 RENORMALIZATION
BY DECIMATION IN ONE-DIMENSIONAL SYSTEMS .............................
257 7.4 ABSENCE OF PHASE TRANSITIONS: MORE CRITERIA ............... 270
7.5 PHASE TRANSITIONS ...................................... 276 8
SPECIAL ERGODIC THEORY PROBLEMS IN NONCHAOTIC DYNAMICS
.................................. 291 8.1 THEORY OF QUASI-PERIODIC
HAMILTONIAN MOTIONS ............. 291 8.2 GRAPHS AND DIAGRAMS FOR THE
LINDSTEDT SERIES .............. 299 8.3 CANCELLATIONS
.......................................... 307 8.4 CONVERGENCE AND THE
KAM THEOREM ...................... 316 9 SOME SPECIAL TOPICS IN KAM
THEORY ..................... 327 FOR INVARIANT TORI
....................................... 327 BOUNDS ON RENORMALIZED
SERIES . CONVERGENCE .............. 332 SCALING LAWS FOR THE STANDARD
MAP ....................... 341 SPECIAL PROBLEMS IN CHAOTIC DYNAMICS
................... 359 10.1 PERTURBING ARNOLD*S CAT MAP
............................ 359 10.2 EXTENDED SYSTEMS . LATTICES OF
ARNOLD*S CAT MAPS .......... 366 10.3 CHAOS IN TIME: AN SRB DISTRIBUTION
..................... 371 10.4 CHAOS IN SPACE-TIME AND SRB DISTRIBUTIONS
.............. 381 10.5 ISOMORPHISMS
.......................................... 392 9.1 RESUMMATIONS AND
RENORMALIZED SERIES 9.2 9.3 9.4 LIMIT FUNCTION FOR THE STANDARD MAP NEAR
RESONANCES ...... 352 10 A NONEQUILIBRIUM THERMODYNAMICS? TWENTY-SEVEN
COMMENTS ................................. 397 BIBLIOGRAPHY
.................................................. 411 NAME INDEX
.................................................. 423 SUBJECT INDEX
................................................ 425 CITATIONS INDEX
............................................... 433
|
| any_adam_object | 1 |
| author | Gallavotti, Giovanni Bonetto, Federico Gentile, Guido |
| author_facet | Gallavotti, Giovanni Bonetto, Federico Gentile, Guido |
| author_role | aut aut aut |
| author_sort | Gallavotti, Giovanni |
| author_variant | g g gg f b fb g g gg |
| building | Verbundindex |
| bvnumber | BV017491659 |
| callnumber-first | Q - Science |
| callnumber-label | QA313 |
| callnumber-raw | QA313 |
| callnumber-search | QA313 |
| callnumber-sort | QA 3313 |
| callnumber-subject | QA - Mathematics |
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| dewey-full | 515/.48 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.48 |
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| dewey-sort | 3515 248 |
| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| indexdate | 2024-07-09T19:18:41Z |
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| isbn | 3540408797 9783540408796 |
| language | English Italian |
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| spelling | Gallavotti, Giovanni Verfasser aut Aspects of ergodic, qualitative and statistical theory of motion G. Gallavotti ; F. Bonetto ; G. Gentile Berlin Springer 2004 X, 435 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and monographs in physics Dynamique différentiable Ergodiciteit gtt Mecânica estatística larpcal Mécanique statistique Sistemas dinâmicos diferenciáveis larpcal Statistische mechanica gtt Teoria ergodica larpcal Théorie ergodique Transformations conservant la mesure Differentiable dynamical systems Ergodic theory Measure-preserving transformations Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 s DE-604 Statistische Mechanik (DE-588)4056999-8 s Bonetto, Federico Verfasser aut Gentile, Guido Verfasser aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010537589&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gallavotti, Giovanni Bonetto, Federico Gentile, Guido Aspects of ergodic, qualitative and statistical theory of motion Dynamique différentiable Ergodiciteit gtt Mecânica estatística larpcal Mécanique statistique Sistemas dinâmicos diferenciáveis larpcal Statistische mechanica gtt Teoria ergodica larpcal Théorie ergodique Transformations conservant la mesure Differentiable dynamical systems Ergodic theory Measure-preserving transformations Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4015246-7 |
| title | Aspects of ergodic, qualitative and statistical theory of motion |
| title_auth | Aspects of ergodic, qualitative and statistical theory of motion |
| title_exact_search | Aspects of ergodic, qualitative and statistical theory of motion |
| title_full | Aspects of ergodic, qualitative and statistical theory of motion G. Gallavotti ; F. Bonetto ; G. Gentile |
| title_fullStr | Aspects of ergodic, qualitative and statistical theory of motion G. Gallavotti ; F. Bonetto ; G. Gentile |
| title_full_unstemmed | Aspects of ergodic, qualitative and statistical theory of motion G. Gallavotti ; F. Bonetto ; G. Gentile |
| title_short | Aspects of ergodic, qualitative and statistical theory of motion |
| title_sort | aspects of ergodic qualitative and statistical theory of motion |
| topic | Dynamique différentiable Ergodiciteit gtt Mecânica estatística larpcal Mécanique statistique Sistemas dinâmicos diferenciáveis larpcal Statistische mechanica gtt Teoria ergodica larpcal Théorie ergodique Transformations conservant la mesure Differentiable dynamical systems Ergodic theory Measure-preserving transformations Statistical mechanics Statistische Mechanik (DE-588)4056999-8 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Dynamique différentiable Ergodiciteit Mecânica estatística Mécanique statistique Sistemas dinâmicos diferenciáveis Statistische mechanica Teoria ergodica Théorie ergodique Transformations conservant la mesure Differentiable dynamical systems Ergodic theory Measure-preserving transformations Statistical mechanics Statistische Mechanik Ergodentheorie |
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