Ergodic theory of random transformations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston; Basel ; Stuttgart
Birkhäuser
1986
|
| Series: | Progress in probability and statistics
10 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 210 Seiten |
| ISBN: | 0817633197 3764333197 |
Staff View
MARC
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| 100 | 1 | |a Kifer, Yuri |d 1948- |0 (DE-588)139155090 |4 aut | |
| 245 | 1 | 0 | |a Ergodic theory of random transformations |c Yuri Kifer |
| 264 | 1 | |a Boston; Basel ; Stuttgart |b Birkhäuser |c 1986 | |
| 300 | |a 210 Seiten | ||
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| 490 | 1 | |a Progress in probability and statistics |v 10 | |
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| 650 | 4 | |a Théorie ergodique | |
| 650 | 4 | |a Transformations (Mathématiques) | |
| 650 | 4 | |a Équations différentielles stochastiques | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Ergodic theory | |
| 650 | 4 | |a Stochastic differential equations | |
| 650 | 4 | |a Transformations (Mathematics) | |
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Record in the Search Index
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|---|---|
| adam_text | Table of Contents
Introduction. 1
I. General analysis of random maps. 7
1.1. Markov chains as compositions of random maps. 7
1.2. Invariant measures and ergodicity. 13
1.3. Characteristic exponents in metric spaces. 26
II. Entropy characteristics of random transformations. 33
2.1. Measure theoretic entropies. 33
2.2. Topological entropy. 67
2.3. Topological pressure.
82
HI Eandom bundle maps. 88
3.1. Oseledec s theorem and the
non random multiplicative ergodic theorem. 88
3.2. Biggest characteristic exponent. gg
3.3. Filtration of invariant subbundles. 115
IV. Further study of invariant subbundles and characteristic
exponents. 13°
4.1. Continuity of invariant subbundles. 130
4.2 Stability of the biggest exponent. 135
4.3. Exponential growth rates. 140
V. Smooth random transformations. 156
5.1. Random diffeomorphisms. 156
5.2. Stochastic flows. 175
Appendix. 191
A. 1. Ergodic decompositions. 191
A.2. Subadditive ergodic theorem. 200
References. 208
|
| any_adam_object | 1 |
| author | Kifer, Yuri 1948- |
| author_GND | (DE-588)139155090 |
| author_facet | Kifer, Yuri 1948- |
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| author_variant | y k yk |
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| bvnumber | BV000492067 |
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| classification_rvk | SK 810 SK 820 |
| classification_tum | MAT 604f |
| ctrlnum | (OCoLC)12420030 (DE-599)BVBBV000492067 |
| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.2 |
| dewey-search | 519.2 |
| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000492067 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:14:47Z |
| institution | BVB |
| isbn | 0817633197 3764333197 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000304276 |
| oclc_num | 12420030 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-739 DE-824 DE-29T DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-706 DE-634 DE-11 DE-188 DE-83 |
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| physical | 210 Seiten |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in probability and statistics |
| series2 | Progress in probability and statistics |
| spelling | Kifer, Yuri 1948- (DE-588)139155090 aut Ergodic theory of random transformations Yuri Kifer Boston; Basel ; Stuttgart Birkhäuser 1986 210 Seiten txt rdacontent n rdamedia nc rdacarrier Progress in probability and statistics 10 Dynamique différentiable Théorie ergodique Transformations (Mathématiques) Équations différentielles stochastiques Differentiable dynamical systems Ergodic theory Stochastic differential equations Transformations (Mathematics) Zufallsvariable (DE-588)4129514-6 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 s Zufallsvariable (DE-588)4129514-6 s DE-604 Differenzierbares dynamisches System (DE-588)4137931-7 s Erscheint auch als Online-Ausgabe 978-1-4684-9175-3 Progress in probability and statistics 10 (DE-604)BV000010596 10 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000304276&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kifer, Yuri 1948- Ergodic theory of random transformations Progress in probability and statistics Dynamique différentiable Théorie ergodique Transformations (Mathématiques) Équations différentielles stochastiques Differentiable dynamical systems Ergodic theory Stochastic differential equations Transformations (Mathematics) Zufallsvariable (DE-588)4129514-6 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| subject_GND | (DE-588)4129514-6 (DE-588)4137931-7 (DE-588)4015246-7 |
| title | Ergodic theory of random transformations |
| title_auth | Ergodic theory of random transformations |
| title_exact_search | Ergodic theory of random transformations |
| title_full | Ergodic theory of random transformations Yuri Kifer |
| title_fullStr | Ergodic theory of random transformations Yuri Kifer |
| title_full_unstemmed | Ergodic theory of random transformations Yuri Kifer |
| title_short | Ergodic theory of random transformations |
| title_sort | ergodic theory of random transformations |
| topic | Dynamique différentiable Théorie ergodique Transformations (Mathématiques) Équations différentielles stochastiques Differentiable dynamical systems Ergodic theory Stochastic differential equations Transformations (Mathematics) Zufallsvariable (DE-588)4129514-6 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Ergodentheorie (DE-588)4015246-7 gnd |
| topic_facet | Dynamique différentiable Théorie ergodique Transformations (Mathématiques) Équations différentielles stochastiques Differentiable dynamical systems Ergodic theory Stochastic differential equations Transformations (Mathematics) Zufallsvariable Differenzierbares dynamisches System Ergodentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000304276&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000010596 |
| work_keys_str_mv | AT kiferyuri ergodictheoryofrandomtransformations |