Large deviations for random walks in a mixing random environment and other (non-markov) random walks

Communications on Pure and Applied Mathematics

Volumn 57, Issue 9, 2004, Pages 1178-1196

  Rassoul Agha, Firas ^a  

^a OHIO STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4043149426     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.20033     Document Type: Article

References (8)

1. Dobrushin, R. L.; Shlosman, S. B. Completely analytical Gibbs fields. Statistical physics and dynamical systems (Köszeg, 1984), 371-403. Progress in Physics, 10. Birkhäuser, Boston, 1985.
2. Dobrushin, R. L.; Shlosman, S. B. Constructive criterion for the uniqueness of a Gibbs field. Statistical physics and dynamical systems (Köszeg, 1984), 347-370. Progress in Physics, 10. Birkhäuser, Boston, 1985.
3. Donsker, M. D.; Varadhan, S. R. S. Asymptotic evaluation of certain Markov process expectations for large time. I. Comm. Pure Appl. Math. 28 (1975), 1-47.
4. Dugundji, J. Topology. Reprinting of the 1966 original. Allyn and Bacon Series in Advanced Mathematics. Allyn and Bacon, Boston-London-Sydney, 1978.
5. Georgii, H. O. Gibbs measures and phase transitions. De Gruyter, Berlin, 1988.
6. Rassoul-Agha, F. The point of view of the particle on the law of large numbers for random walks in a mixing random environment. Ann. Probab. 31 (2003), 1441-1463.
7. Varadhan, S. R. S. Large deviations and applications. CBMS-NSF Regional Conference Series in Applied Mathematics, 46. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, 1984.
8. Varadhan, S. R. S. Large deviations for random walks in a random environment. Comm. Pure Appl. Math. 56 (2003), 1222-1245.