Uniqueness of the mixing measure for a random walk in a random environment on the positive integers.
Eckhoff, Maren, Rolles, Silke W.W. (2009)
Electronic Communications in Probability [electronic only]
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Displaying similar documents to “Random entropy and recurrence.”
Uniqueness of the mixing measure for a random walk in a random environment on the positive integers.
The -algebra of pasts of a random walk on the orbits of the Bernoulli action of the group .
Gorbulsky, A.D. (2005)
Zapiski Nauchnykh Seminarov POMI
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Random dynamics and its applications.
Kifer, Yuri (1998)
Documenta Mathematica
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Isomorphic random Bernoulli shifts
V. Gundlach, G. Ochs (2000)
Colloquium Mathematicae
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We develop a relative isomorphism theory for random Bernoulli shifts by showing that any random Bernoulli shifts are relatively isomorphic if and only if they have the same fibre entropy. This allows the identification of random Bernoulli shifts with standard Bernoulli shifts.
Central limit theorem for the excited random walk in dimension .
Bérard, Jean, Ramirez, Alejandro (2007)
Electronic Communications in Probability [electronic only]
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Central limit theorem for sampled sums of dependent random variables
Nadine Guillotin-Plantard, Clémentine Prieur (2010)
ESAIM: Probability and Statistics
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We prove a central limit theorem for linear triangular arrays under weak dependence conditions. Our result is then applied to dependent random variables sampled by a -valued transient random walk. This extends the results obtained by [N. Guillotin-Plantard and D. Schneider, (2003) 477–497]. An application to parametric estimation by random sampling is also provided.
Non-perturbative approach to random walk in Markovian environment.
Dolgopyat, Dmitry, Liverani, Carlangelo (2009)
Electronic Communications in Probability [electronic only]
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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...
Random walks on groups and monoids with a Markovian harmonic measure.
Mairesse, Jean (2005)
Electronic Journal of Probability [electronic only]
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On gradient-like random dynamical systems
Aya Hmissi, Farida Hmissi, Mohamed Hmissi (2012)
ESAIM: Proceedings
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This paper deals with some characterizations of gradient-like continuous random dynamical systems (RDS). More precisely, we establish an equivalence with the existence of random continuous section or with the existence of continuous and strict Liapunov function. However and contrary to the deterministic case, parallelizable RDS appear as a particular case of gradient-like RDS. The obtained results are generalizations of well-known analogous theorems in the framework of deterministic...
On the zero-one law and the law of large numbers for random walk in mixing random environment.
Rassoul-Agha, Firas (2005)
Electronic Communications in Probability [electronic only]
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Central limit theorems for the products of random matrices sampled by a random walk.
Duheille-Bienvenüe, Frédérique, Guillotin-Plantard, Nadine (2003)
Electronic Communications in Probability [electronic only]
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