From Markov chains to non-equilibrium particle systems.
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| Author / Creator: | Chen, Mufa. |
|---|---|
| Edition: | 2nd ed. |
| Imprint: | Singapore ; River Edge, NJ : World Scientific, c2004. |
| Description: | xii, 597 p. ; 26 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5176251 |
Table of Contents:
- An overview of the book : starting from Markov chains
- Pt. I. General jump processes
- Ch. 1. Transition function and its Laplace transform
- Ch. 2. Existence and simple constructions of jump processes
- Ch. 3. Uniqueness criteria
- Ch. 4. Recurrence, ergodicity and invariant measures
- Ch. 5. Probability metrics and coupling methods
- Pt. II. Symmetrizable jump processes
- Ch. 6. Symmetrizable jump processes and Dirichlet forms
- Ch. 7. Field theory
- Ch. 8. Large deviations
- Ch. 9. Spectral gap
- Pt. III. Equilibrium particle systems
- Ch. 10. Random fields
- Ch. 11. Reversible spin processes and exclusion processes
- Ch. 12. Yang-Mills lattice field
- Pt. IV. Non-equilibrium particle systems
- Ch. 13. Constructions of the processes
- Ch. 14. Existence of stationary distributions and ergodicity
- Ch. 15. Phase transitions
- Ch. 16. Hydrodynamic limits.
