Percolation Theory for Mathematicians by Kesten
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.-
An Introduction to Stochastic Integration
-
XIV Symposium on Probability and Stochastic Processes
-
Advances in Probability and Mathematical Statistics
-
High Dimensional Probability IX
-
Random Walks, Boundaries and Spectra
-
Spatial Stochastic Processes
-
Seminar on Stochastic Analysis, Random Fields and Applications VI
-
The Dynkin Festschrift
-
Seminar on Stochastic Analysis, Random Fields and Applications VII
-
A Lifetime of Excursions Through Random Walks and Levy Processes
-
Stochastic Analysis with Financial Applications
-
Products of Random Matrices with Applications to Schroedinger Operators
-
High Dimensional Probability VI
-
Stochastic Analysis and Applications
-
Random Perturbations of Dynamical Systems
-
Dependence in Probability and Statistics
-
Seminar on Stochastic Processes, 1991
-
Stochastic Analysis and Related Topics V
-
Mathematical Aspects of Spin Glasses and Neural Networks
-
Perplexing Problems in Probability
-
Trees
-
XIII Symposium on Probability and Stochastic Processes
-
Fractal Geometry and Stochastics IV
-
Seminar on Stochastic Analysis, Random Fields and Applications V
-
XII Symposium of Probability and Stochastic Processes
-
Seminar on Stochastic Analysis, Random Fields and Applications
-
Spin Glasses: Statics and Dynamics
-
In and Out of Equilibrium 2
-
High Dimensional Probability VII
-
Stochastic Analysis and Related Topics VII
-
Probability in Banach Spaces, 9
-
Seminar on Stochastic Processes, 1992
-
Stochastic Analysis and Related Topics
-
Stochastic Analysis and Related Topics VI
-
Random Walks, Brownian Motion, and Interacting Particle Systems
-
XI Symposium on Probability and Stochastic Processes
-
Fractal Geometry and Stochastics V
| SKU | Unavailable |
| ISBN 13 | 9780817631079 |
| ISBN 10 | 0817631070 |
| Title | Percolation Theory for Mathematicians |
| Author | Kesten |
| Series | Progress In Probability |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Birkhauser Boston Inc |
| Year published | 1982-01-01 |
| Number of pages | 423 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |