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Titlebook: Random Media; George Papanicolaou Book 1987 Springer-Verlag New York, Inc. 1987 Parameter.differential equation.diffusion process.stochast

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978-1-4613-8727-5Springer-Verlag New York, Inc. 1987
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Exercises for a Book on Random Potentials,We first review known results on the spectral properties of one dimensional random Schrodinger operators and of their perturbations by deterministric potentials. We then give some new results in the form of exercises and we then apply them to the case of multidimensional spherically symmetric random potentials.
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Multidimensional RWRE with Subclassical Limiting Behavior,This paper is based on a talk given at the workshop on Random Media, September 17–24 at the IMA, and like the talk it describes two results proved in [4] and [5].
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Simulations and Global Optimization,Let Z. be the usual d-dimensional cubic lattice. To each site i e Z., we associate a random variable (“spin”) x. with values in a spin stable space X.
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Reflection from a Lossy, One-Dimensional Ocean Sediment Model,The interplay of random layering, small attenuation and refraction is studied in the context of an idealized one-dimensional model of ocean sediments. Appropriate scalings are defined and the Fokker-Planck equation for the reflection coefficient is asymptotically analyzed.
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