Stochastic Interacting Systems: Contact, Voter and Exclusion Processes /
Interactive Particle Systems is a branch of Probability Theory with close connections to Mathematical Physics and Mathematical Biology. In 1985, the author wrote a book (T. Liggett, Interacting Particle System, ISBN 3-540-96069) that treated the subject as it was at that time. The present book takes...
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1999.
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| Series: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ;
324. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of 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
- Voter Models: Preliminaries; Models with General Threshold and Range; Models with Threshold = 1; Notes and References
- Exclusion Processes: Preliminaries; Asymmetric Processes on the Integers; Invariant Measures for Processes on (1,.., N); The Tagged Particle Process
- Notes and References Bibliography
- Index.