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Probability on graphs : random processes on graphs and lattices / Geoffrey Grimmett.
Table of contents Available online
View onlineMath/Physics/Astronomy Library QA166 .G75 2010
Available
- Format:
- Book
- Author/Creator:
- Grimmett, Geoffrey.
- Series:
- Institute of Mathematical Statistics textbooks ; 1.
- Institute of Mathematical Statistics textbooks ; 1
- Language:
- English
- Subjects (All):
- Graph theory.
- Probabilities.
- Physical Description:
- xi, 247 pages : illustrations ; 23 cm.
- Place of Publication:
- Cambridge : Cambridge University Press, [2010]
- Summary:
- Grimmett's concise & masterful introduction to the basic mathematical ideas needed to model such random processes as viral marketing, epidemics, random algorithms, & efficient routing. The selection of topics & the approach taken to them is strongly motivated by modern applications. Each chapter ends with exciting exercises.
- Contents:
- Random walks on graphs
- Uniform spanning tree
- Percolation and self-avoiding walk
- Association and influence
- Further percolation
- Contact process
- Gibbs states
- Random-cluster model
- Quantum Ising model
- Interacting particle systems
- Random graphs
- Lorentz gas.
- Notes:
- Includes bibliographical references (pages 226-242) and index.
- Local Notes:
- Acquired for the Penn Libraries with assistance from the Alumni and Friends Memorial Book Fund.
- ISBN:
- 9780521197984
- 0521197988
- 9780521147354
- 0521147352
- OCLC:
- 607985577
- Online:
- Contributor biographical information
- Publisher description
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