Scaling Limits of Interacting Particle Systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1999
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
320 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The idea of writing up a book on the hydrodynamic behavior of interacting particle systems was born after a series of lectures Claude Kipnis gave at the University of Paris 7 in the spring of 1988. At this time Claude wrote some notes in French that covered Chapters 1 and 4, parts of Chapters 2, 5 and Appendix 1 of this book. His intention was to prepare a text that was as self-contained as possible. lt would include, for instance, all tools from Markov process theory ( cf. Appendix 1, Chaps. 2 and 4) necessary to enable mathematicians and mathematical physicists with some knowledge of probability, at the Ievel of Chung (1974), to understand the techniques of the theory of hydrodynamic Iimits of interacting particle systems. In the fall of 1991 Claude invited me to complete his notes with him and transform them into a book that would present to a large audience the latest developments of the theory in a simple and accessible form. To concentrate on the main ideas and to avoid unnecessary technical difficulties, we decided to consider systems evolving in finite lattice spaces and for which the equilibrium states are product measures. To illustrate the techniques we chose two well-known particle systems, the generalized exclusion processes and the zero-range processes. We also conceived the book in such a manner that most chapters can be read independently of the others. Here are some comments that might help readers find their way |
| Beschreibung: | 1 Online-Ressource (XVI, 444 p) |
| ISBN: | 9783662037522 9783642084447 |
| ISSN: | 0072-7830 |
| DOI: | 10.1007/978-3-662-03752-2 |
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Datensatz im Suchindex
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| author | Kipnis, Claude |
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| 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 |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662037522 9783642084447 |
| issn | 0072-7830 |
| language | English |
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| physical | 1 Online-Ressource (XVI, 444 p) |
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| publishDate | 1999 |
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| series2 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| spelling | Kipnis, Claude Verfasser aut Scaling Limits of Interacting Particle Systems by Claude Kipnis, Claudio Landim Berlin, Heidelberg Springer Berlin Heidelberg 1999 1 Online-Ressource (XVI, 444 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 320 0072-7830 The idea of writing up a book on the hydrodynamic behavior of interacting particle systems was born after a series of lectures Claude Kipnis gave at the University of Paris 7 in the spring of 1988. At this time Claude wrote some notes in French that covered Chapters 1 and 4, parts of Chapters 2, 5 and Appendix 1 of this book. His intention was to prepare a text that was as self-contained as possible. lt would include, for instance, all tools from Markov process theory ( cf. Appendix 1, Chaps. 2 and 4) necessary to enable mathematicians and mathematical physicists with some knowledge of probability, at the Ievel of Chung (1974), to understand the techniques of the theory of hydrodynamic Iimits of interacting particle systems. In the fall of 1991 Claude invited me to complete his notes with him and transform them into a book that would present to a large audience the latest developments of the theory in a simple and accessible form. To concentrate on the main ideas and to avoid unnecessary technical difficulties, we decided to consider systems evolving in finite lattice spaces and for which the equilibrium states are product measures. To illustrate the techniques we chose two well-known particle systems, the generalized exclusion processes and the zero-range processes. We also conceived the book in such a manner that most chapters can be read independently of the others. Here are some comments that might help readers find their way Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Theoretical, Mathematical and Computational Physics Mathematik Statistische Physik (DE-588)4057000-9 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 gnd rswk-swf Skalierungsgesetz (DE-588)4205012-1 gnd rswk-swf Wechselwirkung (DE-588)4064937-4 gnd rswk-swf Markov-Prozess (DE-588)4134948-9 gnd rswk-swf Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Vielteilchensystem (DE-588)4063491-7 s Wechselwirkung (DE-588)4064937-4 s Hydrodynamik (DE-588)4026302-2 s Skalierungsgesetz (DE-588)4205012-1 s 1\p DE-604 Statistische Physik (DE-588)4057000-9 s Markov-Prozess (DE-588)4134948-9 s 2\p DE-604 Landim, Claudio Sonstige oth https://doi.org/10.1007/978-3-662-03752-2 Verlag 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 |
| spellingShingle | Kipnis, Claude Scaling Limits of Interacting Particle Systems Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Theoretical, Mathematical and Computational Physics Mathematik Statistische Physik (DE-588)4057000-9 gnd Vielteilchensystem (DE-588)4063491-7 gnd Skalierungsgesetz (DE-588)4205012-1 gnd Wechselwirkung (DE-588)4064937-4 gnd Markov-Prozess (DE-588)4134948-9 gnd Hydrodynamik (DE-588)4026302-2 gnd |
| subject_GND | (DE-588)4057000-9 (DE-588)4063491-7 (DE-588)4205012-1 (DE-588)4064937-4 (DE-588)4134948-9 (DE-588)4026302-2 |
| title | Scaling Limits of Interacting Particle Systems |
| title_auth | Scaling Limits of Interacting Particle Systems |
| title_exact_search | Scaling Limits of Interacting Particle Systems |
| title_full | Scaling Limits of Interacting Particle Systems by Claude Kipnis, Claudio Landim |
| title_fullStr | Scaling Limits of Interacting Particle Systems by Claude Kipnis, Claudio Landim |
| title_full_unstemmed | Scaling Limits of Interacting Particle Systems by Claude Kipnis, Claudio Landim |
| title_short | Scaling Limits of Interacting Particle Systems |
| title_sort | scaling limits of interacting particle systems |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Theoretical, Mathematical and Computational Physics Mathematik Statistische Physik (DE-588)4057000-9 gnd Vielteilchensystem (DE-588)4063491-7 gnd Skalierungsgesetz (DE-588)4205012-1 gnd Wechselwirkung (DE-588)4064937-4 gnd Markov-Prozess (DE-588)4134948-9 gnd Hydrodynamik (DE-588)4026302-2 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Theoretical, Mathematical and Computational Physics Mathematik Statistische Physik Vielteilchensystem Skalierungsgesetz Wechselwirkung Markov-Prozess Hydrodynamik |
| url | https://doi.org/10.1007/978-3-662-03752-2 |
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