Stochastic Interacting Systems
Contact, Voter and Exclusion Processes
Résumé
This book is intended for graduate students and researchers in Probability Theory, and in related areas of Mathematics, Biology and Physics.
Contents
Background and Tools.
Contact Processes
- Preliminaries;
- The Process on the Integer Lattice Zd;
- The Process on (1,...,N)d;
- The Process on the Homogeneous Tree Td;
- Notes and References.
- Preliminaries;
- Models with General Threshold and Range;
- Models with Threshold = 1;
- Notes and References.
- Preliminaries;
- Asymmetric Processes on the Integers;
- Invariant Measures for Processes on (1,..,N);
- The Tagged Particle Process.
- Notes and References.
Index.
L'auteur - Thomas M. Liggett
Thomas Liggett was born on March 29,1944 in Danville, Kentucky. At the age of two, he moved with his missionary parents to Latin America. His early education took place primarily in Buenos Aires, Argentina, and San Juan, Puerto Rico. He attended college at Oberlin, where he became interested in probability theory under the influence of Samuel Goldberg, who had been a student of William Feller. He continued his study of probability at Stanford, taking many classes with Kai Lai Chung, and writing a thesis on problems related to the invariance principle with Samuel Karlin. In 1969 he joined the UCLA faculty; he has spent his entire career there. In addition to his teaching and research activities, he has been active in academic administration, serving as vice-chair and chair of the UCLA Department of Mathematics.
Liggett was chief editor of The Annals of Probability in 1985-87. He was a Sloan and a Guggenheim Fellow, spoke at the the 1986 International Congress of Mathematicians, and was the 1996 Wald Memorial Lecturer for the Institute of Mathematical Statistics.
Professor Liggett's interest in interacting particle systems began shortly after his move to UCLA, when he read a preprint of Frank Spitzer's fundamental 1970 paper. It is an unusual paper, in that it is much more concerned with descriptions of models and statements of open problems than with proofs of theorems. It provided an ideal way for a young probabilist to test his mettle: The challenge was to solve as many of Spitzer's problems as he could. The subject of interacting particle systems has continued to be the main focus of his research. He has written two books (the other is Stochastic Interacting Systems: Contact, Voter and Exclusion Processes) and over 60 papers in this area. He has also contributed to a number of other fields, including nonlinear semigroups, subadditive ergodic theory, negative dependence, optimal stopping, combinatorics, random graphs, and renewal theory.
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Springer |
| Auteur(s) | Thomas M. Liggett |
| Parution | 01/10/1999 |
| Nb. de pages | 330 |
| Format | 16 x 24 |
| Couverture | Relié |
| Poids | 635g |
| Intérieur | Noir et Blanc |
| EAN13 | 9783540659952 |
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