Random perturbations of 2-dimensional hamiltonian flows

Probability Theory and Related Fields

Volumn 129, Issue 1, 2004, Pages 37-62

  Koralov, L ^a  

^a PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 2442463364     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00440-003-0320-0     Document Type: Article

References (9)

1. Childress, S.: Alpha-effect in flux ropes and sheets. Phys. Earth Planet Internat. 20, 172-180 (1979)
2. Doob, J.L.: Stochastic Processes. J. Wiley and Sons, 1953
3. Fannjiang, A., Papanicolaou, G.: Convection Enhanced Diffusion for Periodic Flows. SIAM J. Appl. Math. 54 (2), 333-408 (1994)
4. Freidlin, M.I.: Dirichlet Problem for Equations with Periodic Coefficients. Probability Theory and Appl. 9, 133-139 (1964)
5. Freidlin, M.I., Wentzell, A.D.: Random Perturbations of Hamiltonian Systems. Memoirs of the American Math. Society. 109 (523), May 1994
6. Heinze, S.: Diffusion-advection in cellular flows with large Peclet numbers. Max-Plank-Institute, preprint no 63, 2001
7. Perko, L.: Differential Equations and Dynamical Systems. Springer-Verlag, 1991
8. Shraiman, B.: Diffusive transport in a Rayleigh-Benard convection cell. Phys. Rev. A 36, 261 (1987)
9. Soward, A.M.: Fast dynamo action in steady flow. J. Fluid Mech. 180, 267-295 (1987)