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Random Walks and Electric Networks
About this Title
Peter G. Doyle, Dartmouth College and J. Laurie Snell, Dartmouth College
Publication: Carus Mathematical Monographs
Publication Year:
1984; Volume 22
ISBN: 978-1-61444-022-2 (online)
DOI: https://doi.org/10.5948/UPO9781614440222
MathSciNet review: MR0920811
MSC: Primary 94C05; Secondary 60J15, 94C15
Table of Contents
Front/Back Matter
Chapters
Random walks on finite networks
- Chapter 1. Random walks in one dimension
- Chapter 2. Random walks in two dimensions
- Chapter 3. Random walks on more general networks
- Chapter 4. Rayleigh’s monotonicity law
Random walks on infinite networks
- Chapter 5. Pólya’s recurrence problem
- Chapter 6. Rayleigh’s short-cut method
- Chapter 7. The classical proofs of Pólya’s theorem
- Chapter 8. Random walks on more general infinite networks