Explicit stationary distributions for compositions of random functions and products of random matrices

From MaRDI portal
Publication:805044

DOI10.1007/BF01046992zbMath0728.60012OpenAlexW1988243855MaRDI QIDQ805044

Jean-François Chamayou, Gérard Letac

Publication date: 1991

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01046992




Related Items (40)

Dubins-Freedman processes and RC filtersDonkey walk and Dirichlet distributionsRandom difference equations: An asymptotical resultBeta-hypergeometric probability distribution on symmetric matricesThe Distribution of a Perpetuity, with Applications to Risk Theory and Pension FundingOn Kummer's distribution of type two and a generalized beta distributionLimit laws for transient random walks in random environment on \(\mathbb Z\)Another look at the integral of exponential Brownian motion and the pricing of Asian optionsA probabilistic representation of constants in Kesten's renewal theoremOn beta distributed limits of iterated linear random functionsRandom walks in random hypergeometric environmentDiscussion of “A Gibbs Sampler for a Class of Random Convex Polytopes”Explicit invariant measures for products of random matricesSecond order properties of distribution tails and estimation of tail exponents in random difference equationsGibbs sampling, exponential families and orthogonal polynomialsThe Lyapunov exponent of products of random \(2\times 2\) matrices close to the identityRandom continued fractions with beta-hypergeometric distributionQuantitative bounds for Markov chain convergence: Wasserstein and total variation distancesQuenched limits for the fluctuations of transient random walks in random environment on \(\mathbb{Z}\)Random walks in random Dirichlet environment are transient in dimension \(d \geq 3\)On the stability of planar randomly switched systemsSieving random iterative function systemsPresent value distributions with applications to ruin theory and stochastic equationsBeta-hypergeometric distributions and random continued fractionsThe Beta Product Distribution with Complex ParametersRandom difference equations with subexponential innovationsDirichlet and Quasi-Bernoulli Laws for PerpetuitiesA Characterisation of Transient Random Walks on Stochastic Matrices with Dirichlet Distributed LimitsRandom walks in Dirichlet environment: an overview. Dedicated to Dominique Bakry on the occasion of his 60th birthdayStrong Convergence for URN Models with Reducible Replacement PolicyOn the stochastic equation \(\mathcal{L}(Z) = \mathcal{L} [V(X + Z)\) and properties of Mittag-Leffler distributions] ⋮ Products of random matrices and generalised quantum point scatterersKshirsagar-Tan independence property of beta matrices and related characterizationsRandom walks in the hyperbolic plane and the Minkowski question mark functionAlgebraic properties of beta and gamma distributions, and applicationsPerpetuities with thin tails revisitedAsymptotic measures of random logistic mapsAsymptotic direction of random walks in Dirichlet environmentRandom difference equations with logarithmic distribution and the triggered shot noiseRandom logistic maps and Lyapunov exponents



Cites Work


This page was built for publication: Explicit stationary distributions for compositions of random functions and products of random matrices