Diffusion processes on an open book and the averaging principle

Stochastic Processes and their Applications

Volumn 113, Issue 1, 2004, Pages 101-126

  Freidlin, M I ^a   Wentzell, A D ^b  

^a Bldg 142   (United States)

^b Tulane University   (United States)

Author keywords

Averaging principle; Gluing conditions; Open book; Random perturbations

Indexed keywords

EID: 4243120749     PISSN: 03044149     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spa.2004.03.009     Document Type: Article

References (9)

1. Brin M. Freidlin M. On stochastic behavior of perturbed Hamiltonian systems Ergodic Theory Dyn. Systems 20 2000 55-76
2. Ethier S.N. Kurtz T.G. Markov Processes: Characterization and Convergence 1986 Wiley New York
3. Freidlin M.I. Wentzell A.D. Diffusion processes on graphs and the averaging principle Ann. Probab. 21 4 1993 2215-2245
4. Freidlin M.I. Wentzell A.D. 1994. Random Perturbations of Hamiltonian Systems. Memoirs of American Mathematical Society, Vol. 523. AMS, Providence, RI. 82
5. Freidlin M.I. Wentzell A.D. Random Perturbations of Dynamical Systems 2nd Edition 1998 Springer Berlin
6. Freidlin M.I. Wentzell A.D. Averaging principle for stochastic perturbations of multifrequency systems Stochast. Dyn. 3 3 2003 393-408
7. Friedman A. Partial Differential Equations of Parabolic Type 1964 Prentice-Hall, Englewood Cliffs NJ
8. Meyer P.A. 1976. Un cours sur les intégrales stochastiques. In: Dellacherie, C., Meyer, P.A. (Eds.), Lecture Notes in Mathematics, Vol. 511, Springer, Berlin, pp. 245-400
9. Ranicki A. High-dimensional Knot Theory 1998 Springer Berlin