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

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Elements of the Theory of Amorphous Semiconductors,uences of the various kinds of disorder for electronic states and energies at and near the band edges and in the gaps are discussed. The energy spectrum is divided into ranges according to the principal characteristics of the states and the spectrum, localized vs. nonuniversal, smooth vs. fractal, e

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Limit Theorems for Measure-Valued Diffusion Processes that Arise in Wave Propagation in a Randomly nfinity. We obtain an analog of the law of large numbers for this system. That is, the weak convergence of Y.(.) to a deterministic process in C ([0, ∞); M([0,1])), the space of probability measure valued continuous functions on [0, ∞). Then, we prove the convergence of appropriately normalized fluc

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Limit Theorems for Measure-Valued Diffusion Processes that Arise in Wave Propagation in a Randomly ∞); M([0,1])), the space of probability measure valued continuous functions on [0, ∞). Then, we prove the convergence of appropriately normalized fluctuations of Y.(t) around its mean, to a distribution-valued Gaussian process.