Orthogonality and probability: mixing times.
Kovchegov, Yevgeniy V. (2010)
Electronic Communications in Probability [electronic only]
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Kovchegov, Yevgeniy V. (2010)
Electronic Communications in Probability [electronic only]
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Martin Baxter (1996)
Annales de l'I.H.P. Probabilités et statistiques
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Daniela Kuklíková (1978)
Aplikace matematiky
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The paper deals with several questions of the diffusion approximation. The goal of this paper is to create the general method of reducting the dimension of the model with the aid of the diffusion approximation. Especially, two dimensional random variables are approximated by one-dimensional diffusion process by replacing one of its coordinates by a certain characteristic, e.g. by its stationary expectation. The suggested method is used for several different systems. For instance, the...
Claire Lacour (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Yukio Nagahata (2005)
Annales de l'I.H.P. Probabilités et statistiques
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Alexei Borodin (2008)
Annales de l'I.H.P. Probabilités et statistiques
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We show that any loop-free Markov chain on a discrete space can be viewed as a determinantal point process. As an application, we prove central limit theorems for the number of particles in a window for renewal processes and Markov renewal processes with Bernoulli noise.