Probability on Graphs : Random Processes on Graphs and Lattices
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| Title: | Probability on Graphs : Random Processes on Graphs and Lattices |
|---|---|
| Description: | This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm–Löwner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises. |
| Authors: | Geoffrey Grimmett |
| Resource Type: | eBook. |
| Subjects: | Graph theory, Probabilities |
| Categories: | MATHEMATICS / Graphic Methods |
| Database: | eBook Collection (EBSCOhost) |
| FullText | Links: – Type: ebook-pdf Text: Availability: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Probability on Graphs : Random Processes on Graphs and Lattices – Name: Abstract Label: Description Group: Ab Data: This introduction to some of the principal models in the theory of disordered systems leads the reader through the basics, to the very edge of contemporary research, with the minimum of technical fuss. Topics covered include random walk, percolation, self-avoiding walk, interacting particle systems, uniform spanning tree, random graphs, as well as the Ising, Potts, and random-cluster models for ferromagnetism, and the Lorentz model for motion in a random medium. Schramm–Löwner evolutions (SLE) arise in various contexts. The choice of topics is strongly motivated by modern applications and focuses on areas that merit further research. Special features include a simple account of Smirnov's proof of Cardy's formula for critical percolation, and a fairly full account of the theory of influence and sharp-thresholds. Accessible to a wide audience of mathematicians and physicists, this book can be used as a graduate course text. Each chapter ends with a range of exercises. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Geoffrey+Grimmett%22">Geoffrey Grimmett</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Graph+theory%22">Graph theory</searchLink><br /><searchLink fieldCode="DE" term="%22Probabilities%22">Probabilities</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Graphic+Methods%22">MATHEMATICS / Graphic Methods</searchLink> |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=nlebk&AN=361597 |
| RecordInfo | BibRecord: BibEntity: Classifications: – Code: 511.5 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Graph theory Type: general – SubjectFull: Probabilities Type: general Titles: – TitleFull: Probability on Graphs : Random Processes on Graphs and Lattices Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Geoffrey Grimmett – PersonEntity: Name: NameFull: Geoffrey Grimmett IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2010 – D: 04 M: 02 Type: profile Y: 2014 Identifiers: – Type: isbn-print Value: 9780521197984 – Type: isbn-electronic Value: 9781139042062 Numbering: – Type: volume Value: 00001 Titles: – TitleFull: Probability on Graphs : Random Processes on Graphs and Lattices Type: main |
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