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Titlebook: Noise and Nonlinear Phenomena in Nuclear Systems; J. L. Muñoz-Cobo,F. C. Difilippo Book 1989 Springer Science+Business Media New York 1989

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Noise and Nonlinear Phenomena in Nuclear Systems978-1-4684-5613-4Series ISSN 0258-1221
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A Glimpse into the World of Random WalksSome classical results from random walk theory are reviewed. Asymptotic properties are derived for random walk on a one-dimensional lattice with static disorder. Fractal time properties are illustrated on a simple example.
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Contribution to the DiscussionProfessor Williams sought a physical explanation of the mathematical result, that, in a low power model of a nuclear reactor, the extinction probability is certainty in a critical system whereas the expected number of neutrons remains constant.
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An Influence Functional Approach for the Elimination of Variables in Stochastic Processesticularly, the case of multivariate Fokker-Planck equations, or equivalently a set of coupled Langevin equations driven by white noises, is analyzed, and applications to the non-white noise problem and Kramers equation are discussed.
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Application of Stochastic Transport Theory to the Determination of the Statistical Descriptors Used this previous theory to the calculation of the Cross-Power-Spectral-Density. This paper includes also the single mode approximation and the reduction to a lumped parameter model. Finally we develop calculable methods and we apply them to the interpretation of neutron noise experimental data.
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