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Progress in Probability

Percolation Theory for Mathematicians

Authors: Kesten

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About this book

Quite apart from the fact that percolation theory had its orlgln in an honest applied problem (see Hammersley and Welsh (1980)), it is a source of fascinating problems of the best kind a mathematician can wish for: problems which are easy to state with a minimum of preparation, but whose solutions are (apparently) difficult and require new methods. At the same time many of the problems are of interest to or proposed by statistical physicists and not dreamt up merely to demons~te ingenuity. Progress in the field has been slow. Relatively few results have been established rigorously, despite the rapidly growing literature with variations and extensions of the basic model, conjectures, plausibility arguments and results of simulations. It is my aim to treat here some basic results with rigorous proofs. This is in the first place a research monograph, but there are few prerequisites; one term of any standard graduate course in probability should be more than enough. Much of the material is quite recent or new, and many of the proofs are still clumsy. Especially the attempt to give proofs valid for as many graphs as possible led to more complications than expected. I hope that the Applications and Examples provide justifi­ cation for going to this level of generality.

Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-1-4899-2730-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.99
price for USA in USD
  • ISBN 978-0-8176-3107-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Percolation Theory for Mathematicians
Authors
Series Title
Progress in Probability
Series Volume
2
Copyright
1982
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4899-2730-9
DOI
10.1007/978-1-4899-2730-9
Softcover ISBN
978-0-8176-3107-9
Series ISSN
1050-6977
Edition Number
1
Number of Pages
VIII, 423
Topics