Mathematics of Random Media: Summer Seminar in Applied Mathematics - Brossura

Kohler, Werner E.

Brossura

ISBN 10: 0821811339 ISBN 13: 9780821811337

Casa editrice: Amer Mathematical Society, 1991

Riassunto

An overview of recent research in the mathematics of random media, considering the field's scientific and technological, as well as mathematical, roots. The 33 papers cover systems of interacting particles, the application of probability theory and partial differential equations to random perturbations of dynamical systems, predicting macroscopic properties from microstructure with effective medium theory, and the phenomenon of localization in the propagation of waves through random media. No index. Annotation copyright Book News, Inc. Portland, Or.

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Contenuti

R Durrett, The contact process, 1974-1989; L Gray, Is the contact process dead?; T Liggett, Limiting behaviour of a one-dimensional system with long range interactions; C Newman, Topics in percolation; G Slade, The lace expansion and the upper critical dimension for percolation; G Swindle, Mandelbrot percolation in two and three dimensions; G Lawler, Intersection probabilities for random walks; R Fisch, A summary of results about cyclic cellular automata; J-P Fouque, Hydrodynamical behaviour of asymmetric attractive particle systems, one example: one-dimensional nearest neighbors asymmetric simple exclusion process; G Stell, Statistical mechanics applied to random-media problems; T Kurtz, A control formulation for constrained Markov processes; C Constantini, Diffusion approximation for a class of transport processes with physical relfection boundary conditons; Y Kifer, Random perturbations of dynamical systems; a new approach; A Eizenberg and M Freidlin, Partial differential systems with a small parameter and diffusion process with a discrete component; D Ioffe and R Pinsky, Asymptotics for the solution of the exterior Dirichlet problem for second-order elliptic operators with small first-order perturbations; T Mikami, Asympotic behaviour of invariant density of diffusion process with small fluctuation; M Pinsky and V Wihstutz, Lyapunov exponents for white and real noise driven two-dimensional systems; B Matowsky, Z Schuss, and C Tier, Asymptotic methods for Markov jump processes; T Naeh, M Klosek, B Matkowsky, and Z Schuss, Uniform solution of Kramers' problem by a direct approach; G Yin and K Ramachandran, On random differential delay equations with a small parameter; V Yurinskii, Homogenization error estimates for random elliptic operators; O Bruno, The effeceive conductivity of composites; K A Lurie, On a general concept in optimal material layout; S Torquato, Microstructure and effective properties of random media; K Golden, Classical transport in quasiperiodic media; J D Maynard, Turning up a quasicrystal; W Faris, Localization estimates for off-diagonal disorder; W Faris, Order statistics and renormalization; L Pastur, Wave and particle propagation through one-dimensional and quasi-one-dimensional random media; A Nachbin and G Papenicolaou, Water waves in shallow channels of randomly varying depth; V Klyatskin, Approximations by delta-correlated random processes and diffusive approximation in stochastic problems; V Goland, V Klyatskin, and I Yaroshchuk, Some aspects of wave propagation theory in layer random media; W Kohler, G Papanicolaou, and B White, Reflection of waves by randomly layered media.

Product Description

Book by Kohler Werner E

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 1991
• Lingua: Inglese
• ISBN 10: 0821811339
• ISBN 13: 9780821811337
• Rilegatura: Copertina flessibile
• Numero di pagine: 499
• Redattore: White Benjamin S.
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile