Probabilistic properties of deterministic systems:
This book shows how densities arise in simple deterministic systems. There has been explosive growth in interest in physical, biological and economic systems that can be profitably studied using densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of t...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1985
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | This book shows how densities arise in simple deterministic systems. There has been explosive growth in interest in physical, biological and economic systems that can be profitably studied using densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (x, 358 pages) |
| ISBN: | 9780511897474 |
| DOI: | 10.1017/CBO9780511897474 |
Internformat
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Datensatz im Suchindex
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| any_adam_object | |
| author | Lasota, Andrzej 1932-2006 |
| author_GND | (DE-588)113711204 (DE-588)170722910 |
| author_facet | Lasota, Andrzej 1932-2006 |
| author_role | aut |
| author_sort | Lasota, Andrzej 1932-2006 |
| author_variant | a l al |
| building | Verbundindex |
| bvnumber | BV043945371 |
| classification_rvk | SK 800 SK 880 |
| collection | ZDB-20-CBO |
| ctrlnum | (ZDB-20-CBO)CR9780511897474 (OCoLC)992849259 (DE-599)BVBBV043945371 |
| dewey-full | 003 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003 |
| dewey-search | 003 |
| dewey-sort | 13 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
| doi_str_mv | 10.1017/CBO9780511897474 |
| format | Electronic eBook |
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| id | DE-604.BV043945371 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:23Z |
| institution | BVB |
| isbn | 9780511897474 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029354342 |
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| physical | 1 online resource (x, 358 pages) |
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| spelling | Lasota, Andrzej 1932-2006 Verfasser (DE-588)113711204 aut Probabilistic properties of deterministic systems Andrzej Lasota, Michael C. Mackey Cambridge Cambridge University Press 1985 1 online resource (x, 358 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) This book shows how densities arise in simple deterministic systems. There has been explosive growth in interest in physical, biological and economic systems that can be profitably studied using densities. Due to the inaccessibility of the mathematical literature there has been little diffusion of the applicable mathematics into the study of these 'chaotic' systems. This book will help to bridge that gap. The authors give a unified treatment of a variety of mathematical systems generating densities, ranging from one-dimensional discrete time transformations through continuous time systems described by integro-partial differential equations. They have drawn examples from many scientific fields to illustrate the utility of the techniques presented. The book assumes a knowledge of advanced calculus and differential equations, but basic concepts from measure theory, ergodic theory, the geometry of manifolds, partial differential equations, probability theory and Markov processes, and stochastic integrals and differential equations are introduced as needed System analysis Probabilities Dichte Stochastik (DE-588)4139581-5 gnd rswk-swf Stochastik (DE-588)4121729-9 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Deterministisches System (DE-588)4426832-4 gnd rswk-swf Systemanalyse (DE-588)4116673-5 gnd rswk-swf Systemanalyse (DE-588)4116673-5 s Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 1\p DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Chaotisches System (DE-588)4316104-2 s 2\p DE-604 Stochastik (DE-588)4121729-9 s Deterministisches System (DE-588)4426832-4 s 3\p DE-604 Dichte Stochastik (DE-588)4139581-5 s 4\p DE-604 5\p DE-604 Mackey, Michael C. 1942- Sonstige (DE-588)170722910 oth Erscheint auch als Druckausgabe 978-0-521-09096-4 Erscheint auch als Druckausgabe 978-0-521-30248-7 https://doi.org/10.1017/CBO9780511897474 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lasota, Andrzej 1932-2006 Probabilistic properties of deterministic systems System analysis Probabilities Dichte Stochastik (DE-588)4139581-5 gnd Stochastik (DE-588)4121729-9 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Chaotisches System (DE-588)4316104-2 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Deterministisches System (DE-588)4426832-4 gnd Systemanalyse (DE-588)4116673-5 gnd |
| subject_GND | (DE-588)4139581-5 (DE-588)4121729-9 (DE-588)4079013-7 (DE-588)4316104-2 (DE-588)4064324-4 (DE-588)4426832-4 (DE-588)4116673-5 |
| title | Probabilistic properties of deterministic systems |
| title_auth | Probabilistic properties of deterministic systems |
| title_exact_search | Probabilistic properties of deterministic systems |
| title_full | Probabilistic properties of deterministic systems Andrzej Lasota, Michael C. Mackey |
| title_fullStr | Probabilistic properties of deterministic systems Andrzej Lasota, Michael C. Mackey |
| title_full_unstemmed | Probabilistic properties of deterministic systems Andrzej Lasota, Michael C. Mackey |
| title_short | Probabilistic properties of deterministic systems |
| title_sort | probabilistic properties of deterministic systems |
| topic | System analysis Probabilities Dichte Stochastik (DE-588)4139581-5 gnd Stochastik (DE-588)4121729-9 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Chaotisches System (DE-588)4316104-2 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd Deterministisches System (DE-588)4426832-4 gnd Systemanalyse (DE-588)4116673-5 gnd |
| topic_facet | System analysis Probabilities Dichte Stochastik Stochastik Wahrscheinlichkeitstheorie Chaotisches System Wahrscheinlichkeitsrechnung Deterministisches System Systemanalyse |
| url | https://doi.org/10.1017/CBO9780511897474 |
| work_keys_str_mv | AT lasotaandrzej probabilisticpropertiesofdeterministicsystems AT mackeymichaelc probabilisticpropertiesofdeterministicsystems |