Ergodicity for infinite dimensional systems /:
This book is devoted to the asymptotic properties of solutions of stochastic evolution equations in infinite dimensional spaces. It is divided into three parts: Markovian dynamical systems; invariant measures for stochastic evolution equations; invariant measures for specific models. The focus is on...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge ; New York :
Cambridge University Press,
1996.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
229. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book is devoted to the asymptotic properties of solutions of stochastic evolution equations in infinite dimensional spaces. It is divided into three parts: Markovian dynamical systems; invariant measures for stochastic evolution equations; invariant measures for specific models. The focus is on models of dynamical processes affected by white noise, which are described by partial differential equations such as the reaction-diffusion equations or Navier-Stokes equations. Besides existence and uniqueness questions, special attention is paid to the asymptotic behaviour of the solutions, to invariant measures and ergodicity. Some of the results found here are presented for the first time. For all whose research interests involve stochastic modelling, dynamical systems, or ergodic theory, this book will be an essential purchase. |
| Beschreibung: | 1 online resource (xi, 339 pages) |
| Bibliographie: | Includes bibliographical references (pages 321-337) and index. |
| ISBN: | 9781107362499 1107362490 |
Internformat
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| 245 | 1 | 0 | |a Ergodicity for infinite dimensional systems / |c G. Da Prato, J. Zabczyk. |
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| 300 | |a 1 online resource (xi, 339 pages) | ||
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 229 | |
| 504 | |a Includes bibliographical references (pages 321-337) and index. | ||
| 505 | 0 | |a I. Markovian Dynamical Systems. 1. General Dynamical Systems. 2. Canonical Markovian Systems. 3. Ergodic and mixing measures. 4. Regular Markovian systems -- II. Invariant measures for stochastic evolution equations. 5. Stochastic Differential Equations. 6. Existence of invariant measures. 7. Uniqueness of invariant measures. 8. Densities of invariant measures -- III. Invariant measures for specific models. 9. Ornstein -- Uhlenbeck processes. 10. Stochastic delay systems. 11. Reaction-Diffusion equations. 12. Spin systems. 13. Systems perturbed through the boundary. 14. Burgers equation. 15. Navier-Stokes equations -- IV. Appendices -- A Smoothing properties of convolutions -- B An estimate on modulus of continuity -- C A result on implicit functions. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a This book is devoted to the asymptotic properties of solutions of stochastic evolution equations in infinite dimensional spaces. It is divided into three parts: Markovian dynamical systems; invariant measures for stochastic evolution equations; invariant measures for specific models. The focus is on models of dynamical processes affected by white noise, which are described by partial differential equations such as the reaction-diffusion equations or Navier-Stokes equations. Besides existence and uniqueness questions, special attention is paid to the asymptotic behaviour of the solutions, to invariant measures and ergodicity. Some of the results found here are presented for the first time. For all whose research interests involve stochastic modelling, dynamical systems, or ergodic theory, this book will be an essential purchase. | ||
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| contents | I. Markovian Dynamical Systems. 1. General Dynamical Systems. 2. Canonical Markovian Systems. 3. Ergodic and mixing measures. 4. Regular Markovian systems -- II. Invariant measures for stochastic evolution equations. 5. Stochastic Differential Equations. 6. Existence of invariant measures. 7. Uniqueness of invariant measures. 8. Densities of invariant measures -- III. Invariant measures for specific models. 9. Ornstein -- Uhlenbeck processes. 10. Stochastic delay systems. 11. Reaction-Diffusion equations. 12. Spin systems. 13. Systems perturbed through the boundary. 14. Burgers equation. 15. Navier-Stokes equations -- IV. Appendices -- A Smoothing properties of convolutions -- B An estimate on modulus of continuity -- C A result on implicit functions. |
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| id | ZDB-4-EBA-ocn836864257 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:25:16Z |
| institution | BVB |
| isbn | 9781107362499 1107362490 |
| language | English |
| oclc_num | 836864257 |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Da Prato, Giuseppe. Ergodicity for infinite dimensional systems / G. Da Prato, J. Zabczyk. Cambridge ; New York : Cambridge University Press, 1996. 1 online resource (xi, 339 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 229 Includes bibliographical references (pages 321-337) and index. I. Markovian Dynamical Systems. 1. General Dynamical Systems. 2. Canonical Markovian Systems. 3. Ergodic and mixing measures. 4. Regular Markovian systems -- II. Invariant measures for stochastic evolution equations. 5. Stochastic Differential Equations. 6. Existence of invariant measures. 7. Uniqueness of invariant measures. 8. Densities of invariant measures -- III. Invariant measures for specific models. 9. Ornstein -- Uhlenbeck processes. 10. Stochastic delay systems. 11. Reaction-Diffusion equations. 12. Spin systems. 13. Systems perturbed through the boundary. 14. Burgers equation. 15. Navier-Stokes equations -- IV. Appendices -- A Smoothing properties of convolutions -- B An estimate on modulus of continuity -- C A result on implicit functions. Print version record. This book is devoted to the asymptotic properties of solutions of stochastic evolution equations in infinite dimensional spaces. It is divided into three parts: Markovian dynamical systems; invariant measures for stochastic evolution equations; invariant measures for specific models. The focus is on models of dynamical processes affected by white noise, which are described by partial differential equations such as the reaction-diffusion equations or Navier-Stokes equations. Besides existence and uniqueness questions, special attention is paid to the asymptotic behaviour of the solutions, to invariant measures and ergodicity. Some of the results found here are presented for the first time. For all whose research interests involve stochastic modelling, dynamical systems, or ergodic theory, this book will be an essential purchase. Stochastic partial differential equations Asymptotic theory. http://id.loc.gov/authorities/subjects/sh96001393 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Équations aux dérivées partielles stochastiques Théorie asymptotique. Dynamique différentiable. Théorie ergodique. MATHEMATICS Probability & Statistics General. bisacsh Differentiable dynamical systems fast Ergodic theory fast Stochastic partial differential equations Asymptotic theory fast Asymptotisches Lösungsverhalten gnd http://d-nb.info/gnd/4134367-0 Evolutionsgleichung gnd http://d-nb.info/gnd/4129061-6 Stochastische Differentialgleichung gnd http://d-nb.info/gnd/4057621-8 Unendlichdimensionaler Raum gnd http://d-nb.info/gnd/4207852-0 Feller-Halbgruppe gnd http://d-nb.info/gnd/4285866-5 Stochastisches dynamisches System gnd http://d-nb.info/gnd/4305316-6 Oneindige dimensie. gtt Ergodiciteit. gtt Stochastische differentiaalvergelijkingen. gtt Equations aux dérivées partielles stochastiques. ram Dynamique différentiable. ram Théorie ergodique. ram Zabczyk, Jerzy. Print version: Da Prato, Giuseppe. Ergodicity for infinite dimensional systems. Cambridge ; New York : Cambridge University Press, 1996 0521579007 (DLC) 96001602 (OCoLC)34243299 London Mathematical Society lecture note series ; 229. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552521 Volltext |
| spellingShingle | Da Prato, Giuseppe Ergodicity for infinite dimensional systems / London Mathematical Society lecture note series ; I. Markovian Dynamical Systems. 1. General Dynamical Systems. 2. Canonical Markovian Systems. 3. Ergodic and mixing measures. 4. Regular Markovian systems -- II. Invariant measures for stochastic evolution equations. 5. Stochastic Differential Equations. 6. Existence of invariant measures. 7. Uniqueness of invariant measures. 8. Densities of invariant measures -- III. Invariant measures for specific models. 9. Ornstein -- Uhlenbeck processes. 10. Stochastic delay systems. 11. Reaction-Diffusion equations. 12. Spin systems. 13. Systems perturbed through the boundary. 14. Burgers equation. 15. Navier-Stokes equations -- IV. Appendices -- A Smoothing properties of convolutions -- B An estimate on modulus of continuity -- C A result on implicit functions. Stochastic partial differential equations Asymptotic theory. http://id.loc.gov/authorities/subjects/sh96001393 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Équations aux dérivées partielles stochastiques Théorie asymptotique. Dynamique différentiable. Théorie ergodique. MATHEMATICS Probability & Statistics General. bisacsh Differentiable dynamical systems fast Ergodic theory fast Stochastic partial differential equations Asymptotic theory fast Asymptotisches Lösungsverhalten gnd http://d-nb.info/gnd/4134367-0 Evolutionsgleichung gnd http://d-nb.info/gnd/4129061-6 Stochastische Differentialgleichung gnd http://d-nb.info/gnd/4057621-8 Unendlichdimensionaler Raum gnd http://d-nb.info/gnd/4207852-0 Feller-Halbgruppe gnd http://d-nb.info/gnd/4285866-5 Stochastisches dynamisches System gnd http://d-nb.info/gnd/4305316-6 Oneindige dimensie. gtt Ergodiciteit. gtt Stochastische differentiaalvergelijkingen. gtt Equations aux dérivées partielles stochastiques. ram Dynamique différentiable. ram Théorie ergodique. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh96001393 http://id.loc.gov/authorities/subjects/sh85037882 http://id.loc.gov/authorities/subjects/sh85044600 http://d-nb.info/gnd/4134367-0 http://d-nb.info/gnd/4129061-6 http://d-nb.info/gnd/4057621-8 http://d-nb.info/gnd/4207852-0 http://d-nb.info/gnd/4285866-5 http://d-nb.info/gnd/4305316-6 |
| title | Ergodicity for infinite dimensional systems / |
| title_auth | Ergodicity for infinite dimensional systems / |
| title_exact_search | Ergodicity for infinite dimensional systems / |
| title_full | Ergodicity for infinite dimensional systems / G. Da Prato, J. Zabczyk. |
| title_fullStr | Ergodicity for infinite dimensional systems / G. Da Prato, J. Zabczyk. |
| title_full_unstemmed | Ergodicity for infinite dimensional systems / G. Da Prato, J. Zabczyk. |
| title_short | Ergodicity for infinite dimensional systems / |
| title_sort | ergodicity for infinite dimensional systems |
| topic | Stochastic partial differential equations Asymptotic theory. http://id.loc.gov/authorities/subjects/sh96001393 Differentiable dynamical systems. http://id.loc.gov/authorities/subjects/sh85037882 Ergodic theory. http://id.loc.gov/authorities/subjects/sh85044600 Équations aux dérivées partielles stochastiques Théorie asymptotique. Dynamique différentiable. Théorie ergodique. MATHEMATICS Probability & Statistics General. bisacsh Differentiable dynamical systems fast Ergodic theory fast Stochastic partial differential equations Asymptotic theory fast Asymptotisches Lösungsverhalten gnd http://d-nb.info/gnd/4134367-0 Evolutionsgleichung gnd http://d-nb.info/gnd/4129061-6 Stochastische Differentialgleichung gnd http://d-nb.info/gnd/4057621-8 Unendlichdimensionaler Raum gnd http://d-nb.info/gnd/4207852-0 Feller-Halbgruppe gnd http://d-nb.info/gnd/4285866-5 Stochastisches dynamisches System gnd http://d-nb.info/gnd/4305316-6 Oneindige dimensie. gtt Ergodiciteit. gtt Stochastische differentiaalvergelijkingen. gtt Equations aux dérivées partielles stochastiques. ram Dynamique différentiable. ram Théorie ergodique. ram |
| topic_facet | Stochastic partial differential equations Asymptotic theory. Differentiable dynamical systems. Ergodic theory. Équations aux dérivées partielles stochastiques Théorie asymptotique. Dynamique différentiable. Théorie ergodique. MATHEMATICS Probability & Statistics General. Differentiable dynamical systems Ergodic theory Stochastic partial differential equations Asymptotic theory Asymptotisches Lösungsverhalten Evolutionsgleichung Stochastische Differentialgleichung Unendlichdimensionaler Raum Feller-Halbgruppe Stochastisches dynamisches System Oneindige dimensie. Ergodiciteit. Stochastische differentiaalvergelijkingen. Equations aux dérivées partielles stochastiques. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552521 |
| work_keys_str_mv | AT dapratogiuseppe ergodicityforinfinitedimensionalsystems AT zabczykjerzy ergodicityforinfinitedimensionalsystems |