Probability on Discrete Structures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004
|
| Schriftenreihe: | Encyclopaedia of Mathematical Sciences, Probability Theory
110 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability |
| Beschreibung: | 1 Online-Ressource (IX, 351 p) |
| ISBN: | 9783662094440 9783642056475 |
| ISSN: | 0938-0396 |
| DOI: | 10.1007/978-3-662-09444-0 |
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| 500 | |a Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability | ||
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Datensatz im Suchindex
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| author | Kesten, Harry |
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| dewey-full | 519.2 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-09444-0 |
| format | Electronic eBook |
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| isbn | 9783662094440 9783642056475 |
| issn | 0938-0396 |
| language | English |
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| spelling | Kesten, Harry Verfasser aut Probability on Discrete Structures edited by Harry Kesten Berlin, Heidelberg Springer Berlin Heidelberg 2004 1 Online-Ressource (IX, 351 p) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of Mathematical Sciences, Probability Theory 110 0938-0396 Most probability problems involve random variables indexed by space and/or time. These problems almost always have a version in which space and/or time are taken to be discrete. This volume deals with areas in which the discrete version is more natural than the continuous one, perhaps even the only one than can be formulated without complicated constructions and machinery. The 5 papers of this volume discuss problems in which there has been significant progress in the last few years; they are motivated by, or have been developed in parallel with, statistical physics. They include questions about asymptotic shape for stochastic growth models and for random clusters; existence, location and properties of phase transitions; speed of convergence to equilibrium in Markov chains, and in particular for Markov chains based on models with a phase transition; cut-off phenomena for random walks. The articles can be read independently of each other. Their unifying theme is that of models built on discrete spaces or graphs. Such models are often easy to formulate. Correspondingly, the book requires comparatively little previous knowledge of the machinery of probability Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Diskrete Struktur (DE-588)4277414-7 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Diskrete Struktur (DE-588)4277414-7 s 2\p DE-604 https://doi.org/10.1007/978-3-662-09444-0 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 | Kesten, Harry Probability on Discrete Structures Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Diskrete Struktur (DE-588)4277414-7 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| subject_GND | (DE-588)4277414-7 (DE-588)4079013-7 (DE-588)4143413-4 |
| title | Probability on Discrete Structures |
| title_auth | Probability on Discrete Structures |
| title_exact_search | Probability on Discrete Structures |
| title_full | Probability on Discrete Structures edited by Harry Kesten |
| title_fullStr | Probability on Discrete Structures edited by Harry Kesten |
| title_full_unstemmed | Probability on Discrete Structures edited by Harry Kesten |
| title_short | Probability on Discrete Structures |
| title_sort | probability on discrete structures |
| topic | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Diskrete Struktur (DE-588)4277414-7 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Probability Theory and Stochastic Processes Mathematik Diskrete Struktur Wahrscheinlichkeitstheorie Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-662-09444-0 |
| work_keys_str_mv | AT kestenharry probabilityondiscretestructures |