The place of random processes and random fields in quantum theory
Giacomo Della Riccia, Takeyuki Hida (1966)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “Large time behaviour of moments of solution of parabolic differential equations with random coefficients”
The place of random processes and random fields in quantum theory
On Bernoulli decomposition of random variables and recent various applications
François Germinet (2007-2008)
Séminaire Équations aux dérivées partielles
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In this review, we first recall a recent Bernoulli decomposition of any given non trivial real random variable. While our main motivation is a proof of universal occurence of Anderson localization in continuum random Schrödinger operators, we review other applications like Sperner theory of antichains, anticoncentration bounds of some functions of random variables, as well as singularity of random matrices.
On small deviation probabilities of positive random variables.
Rozovskij, L.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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A geometric derivation of the linear Boltzmann equation for a particle interacting with a Gaussian random field, using a Fock space approach
Sébastien Breteaux (2014)
Annales de l’institut Fourier
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In this article the linear Boltzmann equation is derived for a particle interacting with a Gaussian random field, in the weak coupling limit, with renewal in time of the random field. The initial data can be chosen arbitrarily. The proof is geometric and involves coherent states and semi-classical calculus.
Eigenvalue distribution of random operators and matrices
Leonid Pastur (1991-1992)
Séminaire Bourbaki
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Strong approximation for set-indexed partial sum processes via KMT constructions III
Rio Emmanuel (1997)
ESAIM: Probability and Statistics
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Supersymmetry, Witten complex and asymptotics for directional Lyapunov exponents in
Wei-Min Wang (1999)
Journées équations aux dérivées partielles
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By using a supersymmetric gaussian representation, we transform the averaged Green's function for random walks in random potentials into a 2-point correlation function of a corresponding lattice field theory. We study the resulting lattice field theory using the Witten laplacian formulation. We obtain the asymptotics for the directional Lyapunov exponents.
Lifshitz tails for some non monotonous random models
Frédéric Klopp, Shu Nakamura (2007-2008)
Séminaire Équations aux dérivées partielles
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In this talk, we describe some recent results on the Lifshitz behavior of the density of states for non monotonous random models. Non monotonous means that the random operator is not a monotonous function of the random variables. The models we consider will mainly be of alloy type but in some cases we also can apply our methods to random displacement models.
A note on correlation coefficient between random events
Czesław Stępniak (2015)
Discussiones Mathematicae Probability and Statistics
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Correlation coefficient is a well known measure of (linear) dependence between random variables. In his textbook published in 1980 L.T. Kubik introduced an analogue of such measure for random events A and B and studied its basic properties. We reveal that this measure reduces to the usual correlation coefficient between the indicator functions of A and B. In consequence the resuts by Kubik are obtained and strenghted directly. This is essential because the textbook is recommended by...