Large deviations asymptotics and the spectral theory of multiplicatively regular Markov processes.
Kontoyiannis, Ioannis, Meyn, S.P. (2005)
Electronic Journal of Probability [electronic only]
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Displaying similar documents to “Chains with complete connections and one-dimensional Gibbs measures.”
Large deviations asymptotics and the spectral theory of multiplicatively regular Markov processes.
Attractors of iterated function systems and Markov operators.
Myjak, Józef, Szarek, Tomasz (2003)
Abstract and Applied Analysis
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Partition-dependent stochastic measures and -deformed cumulants.
Anshelevich, Michael (2001)
Documenta Mathematica
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Large deviations for the empirical measures of reflecting Brownian motion and related constrained processes in .
Budhiraja, Amarjit, Dupuis, Paul (2003)
Electronic Journal of Probability [electronic only]
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Invariant measures for iterated function systems
Tomasz Szarek (2000)
Annales Polonici Mathematici
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A new criterion for the existence of an invariant distribution for Markov operators is presented. Moreover, it is also shown that the unique invariant distribution of an iterated function system is singular with respect to the Hausdorff measure.
Stationary measures and phase transition for a class of probabilistic cellular automata
Paolo Dai Pra, Pierre-Yves Louis, Sylvie Rœlly (2002)
ESAIM: Probability and Statistics
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We discuss various properties of Probabilistic Cellular Automata, such as the structure of the set of stationary measures and multiplicity of stationary measures (or phase transition) for reversible models.
The L q spectra and Rényi dimension of generalized inhomogeneous self-similar measures
Przemysław Liszka (2014)
Open Mathematics
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Very recently bounds for the L q spectra of inhomogeneous self-similar measures satisfying the Inhomogeneous Open Set Condition (IOSC), being the appropriate version of the standard Open Set Condition (OSC), were obtained. However, if the IOSC is not satisfied, then almost nothing is known for such measures. In the paper we study the L q spectra and Rényi dimension of generalized inhomogeneous self-similar measures, for which we allow an infinite number of contracting similarities and...
First hitting place probabilities for a discrete version of the Ornstein-Uhlenbeck process.
Guilbault, Jean-Luc, Lefebvre, Mario (2009)
International Journal of Mathematics and Mathematical Sciences
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Remarks on Palm Measures
Donald Geman, Joseph Horowitz (1973)
Annales de l'I.H.P. Probabilités et statistiques
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Generic properties of learning systems
Tomasz Szarek (2000)
Annales Polonici Mathematici
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It is shown that the set of learning systems having a singular stationary distribution is generic in the family of all systems satisfying the average contractivity condition.
Limit theorems in free probability theory II
Gennadii Chistyakov, Friedrich Götze (2008)
Open Mathematics
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Based on an analytical approach to the definition of multiplicative free convolution on probability measures on the nonnegative line ℝ+ and on the unit circle we prove analogs of limit theorems for nonidentically distributed random variables in classical Probability Theory.