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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Giacomo Della Riccia, Takeyuki Hida (1966)
Annales de l'I.H.P. Physique théorique
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Rozovskij, L.V. (2004)
Zapiski Nauchnykh Seminarov POMI
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Swift, Randall J. (2001)
Journal of Applied Mathematics and Stochastic Analysis
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L. Pastur (1991-1992)
Séminaire Équations aux dérivées partielles (Polytechnique)
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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.
R. Kaufman (1970)
Studia Mathematica
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S. K. Srinivasan, K. S. S. Iyer (1965)
Applicationes Mathematicae
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Agnieszka Jurlewicz, Mark M. Meerschaert, Hans-Peter Scheffler (2011)
Studia Mathematica
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In a continuous time random walk (CTRW), a random waiting time precedes each random jump. The CTRW model is useful in physics, to model diffusing particles. Its scaling limit is a time-changed process, whose densities solve an anomalous diffusion equation. This paper develops limit theory and governing equations for cluster CTRW, in which a random number of jumps cluster together into a single jump. The clustering introduces a dependence between the waiting times and jumps that significantly...
G. Trybuś (1974)
Applicationes Mathematicae
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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...
Z. Pop-Stojanović (1964)
Colloquium Mathematicae
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W. Dziubdziela (1976)
Applicationes Mathematicae
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Kifer, Yuri (1998)
Documenta Mathematica
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Rio Emmanuel (1997)
ESAIM: Probability and Statistics
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Nguyen, Quy Hy, Nguyen, Ngoc Cuong (2015-12-08T12:59:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
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