Interacting random walk in a dynamical random environment. I. Decay of correlations
Carlo Boldrighini, Robert A. Minlos, Alessandro Pellegrinotti (1994)
Annales de l'I.H.P. Probabilités et statistiques
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Carlo Boldrighini, Robert A. Minlos, Alessandro Pellegrinotti (1994)
Annales de l'I.H.P. Probabilités et statistiques
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Swift, Randall J. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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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.
Przemysław Matuła, Zdzisław Rychlik (1990)
Annales de l'I.H.P. Probabilités et statistiques
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Sandra Dias, Maria da Graça Temido (2019)
Kybernetika
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We study the limiting distribution of the maximum value of a stationary bivariate real random field satisfying suitable weak mixing conditions. In the first part, when the double dimensions of the random samples have a geometric growing pattern, a max-semistable distribution is obtained. In the second part, considering the random field sampled at double random times, a mixture distribution is established for the limiting distribution of the maximum.
Carlo Boldrighini, Robert A. Minlos, Alessandro Pellegrinotti (1994)
Annales de l'I.H.P. Probabilités et statistiques
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Giacomo Della Riccia, Takeyuki Hida (1966)
Annales de l'I.H.P. Physique théorique
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Swift, Randall J. (1997)
Journal of Applied Mathematics and Stochastic Analysis
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