Statistical properties of deterministic systems:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer [u.a.]
2009
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| Series: | Tsinghua University texts
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 221 - 227 |
| Physical Description: | VI, 236 S. graph. Darst. |
| ISBN: | 9783540853664 9787302182962 9783540853671 |
Staff View
MARC
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Record in the Search Index
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| adam_text | 5.3 PIECEWISE CONVEX MAPPINGS 103 CONTENTS CHAPTER 1 INTRODUCTION 1 1.1
DISCRETE DETERMINISTIC SYSTEMS*FROM ORDER TO CHAOS 2 1.2 STATISTICAL
STUDY OF CHAOS 8 EXERCISES 14 CHAPTER 2 FOUNDATIONS OF MEASURE THEORY 15
2.1 MEASURES AND INTEGRATION 15 2.2 BASIC INTEGRATION THEORY 21 2.3
FUNCTIONS OF BOUNDED VARIATION IN ONE VARIABLE 24 2.4 FUNCTIONS OF
BOUNDED VARIATION IN SEVERAL VARIABLES 27 2.5 COMPACTNESS AND
QUASI-COMPACTNESS 31 2.5.1 STRONG AND WEAK COMPACTNESS 32 2.5.2
QUASI-COMPACTNESS 33 EXERCISES 35 CHAPTER 3 RUDIMENTS OF ERGODIC THEORY
36 3.1 MEASURE PRESERVING TRANSFORMATIONS 36 3.2 ERGODICITY, MIXING AND
EXACTNESS 39 3.2.1 ERGODICITY 39 3.2.2 MIXING AND EXACTNESS 41 3.3
ERGODIC THEOREMS 43 3.4 TOPOLOGICAL DYNAMICAL SYSTEMS 47 EXERCISES 59
CHAPTER 4 FROBENIUS-PERRON OPERATORS 62 4.1 MARKOV OPERATORS 63 4.2
FROBENIUS-PERRON OPERATORS 68 4.3 KOOPMAN OPERATORS 77 4.4 ERGODICITY
AND FROBENIUS-PERRON OPERATORS 79 4.5 DECOMPOSITION THEOREM AND SPECTRAL
ANALYSIS 84 EXERCISES 88 CHAPTER 5 INVARIANT MEASURES*EXISTENCE 92 5.1
GENERAL EXISTENCE RESULTS 92 5.2 PIECEWISE STRETCHING MAPPINGS 99
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/991010787 DIGITALISIERT
DURCH VI CONTENTS 5.4 PIECEWISE EXPANDING TRANSFORMATIONS 106 EXERCISES
113 CHAPTER 6 INVARIANT MEASURES*COMPUTATION 115 6.1 ULAM S METHOD FOR
ONE-DIMENSIONA! MAPPINGS 116 6.2 ULAM S METHOD FOR JV-DIMENSIONAL
TRANSFORMATIONS 123 6.3 THE MARKOV METHOD FOR ONE-DIMENSIONAL MAPPINGS
127 6.4 THE MARKOV METHOD FOR JV-DIMENSIONAL TRANSFORMATIONS 134
EXERCISES 141 CHAPTER 7 CONVERGENCE RATE ANALYSIS 144 7.1 ERROR
ESTIMATES FOR ULAM S METHOD 144 7.2 MORE EXPLICIT ERROR ESTIMATES 152
7.3 ERROR ESTIMATES FOR THE MARKOV METHOD 161 EXERCISES 170 CHAPTER 8
ENTROPY 172 8.1 SHANNON ENTROPY 172 8.2 KOLMOGOROV ENTROPY * * * 177 8.3
TOPOLOGICAL ENTROPY 183 8.4 BOLTZMANN ENTROPY 186 8.5 BOLTZMANN ENTROPY
AND FROBENIUS-PERRON OPERATORS 189 EXERCISES 193 CHAPTER 9 APPLICATIONS
OF INVARIANT MEASURES 196 9.1 DECAY OF CORRELATIONS 196 9.2 RANDOM
NUMBER GENERATION 199 9.3 CONFORMATIONAL DYNAMICS OF BIO-MOLECULES 204
9.4 DS-CDMA IN WIRELESS COMMUNICATIONS 215 EXERCISES 219 BIBLIOGRAPHY
221 INDEX 228
|
| any_adam_object | 1 |
| author | Ding, Jiu Zhou, Aihui |
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| author_facet | Ding, Jiu Zhou, Aihui |
| author_role | aut aut |
| author_sort | Ding, Jiu |
| author_variant | j d jd a z az |
| building | Verbundindex |
| bvnumber | BV035575435 |
| classification_rvk | SK 810 SK 830 |
| ctrlnum | (OCoLC)890612054 (DE-599)DNB991010787 |
| dewey-full | 515.48 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.48 |
| dewey-search | 515.48 |
| dewey-sort | 3515.48 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T21:40:47Z |
| institution | BVB |
| isbn | 9783540853664 9787302182962 9783540853671 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017630939 |
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| owner_facet | DE-824 DE-703 DE-29T DE-11 |
| physical | VI, 236 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer [u.a.] |
| record_format | marc |
| series2 | Tsinghua University texts |
| spelling | Ding, Jiu Verfasser (DE-588)138216746 aut Statistical properties of deterministic systems Jiu Ding ; Aihui Zhou Berlin [u.a.] Springer [u.a.] 2009 VI, 236 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Tsinghua University texts Literaturverz. S. 221 - 227 Dynamisches System (DE-588)4013396-5 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Ergodentheorie (DE-588)4015246-7 s DE-604 Zhou, Aihui Verfasser (DE-588)123378230 aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017630939&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ding, Jiu Zhou, Aihui Statistical properties of deterministic systems Dynamisches System (DE-588)4013396-5 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4015246-7 |
| title | Statistical properties of deterministic systems |
| title_auth | Statistical properties of deterministic systems |
| title_exact_search | Statistical properties of deterministic systems |
| title_full | Statistical properties of deterministic systems Jiu Ding ; Aihui Zhou |
| title_fullStr | Statistical properties of deterministic systems Jiu Ding ; Aihui Zhou |
| title_full_unstemmed | Statistical properties of deterministic systems Jiu Ding ; Aihui Zhou |
| title_short | Statistical properties of deterministic systems |
| title_sort | statistical properties of deterministic systems |
| topic | Dynamisches System (DE-588)4013396-5 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Dynamisches System Ergodentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017630939&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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