Upper packing dimension of a measure and the limit distribution of products of i.i.d. Stochastic matrices

DOI10.1007/s12044-009-0052-xzbMath1196.60056OpenAlexW2038775462MaRDI QIDQ2655533

Arunava Mukherjea, Ricardo L. Restrepo

Publication date: 25 January 2010

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-009-0052-x

zbMATH Keywords

convolutionrandom matricespacking dimensionstochastic matriceslimit measurecontinuous singularity of the limit distributionErdos sum

Mathematics Subject Classification ID

Generalized stochastic processes (60G20) Spaces of measures, convergence of measures (28A33) Hausdorff and packing measures (28A78) Stochastic matrices (15B51) Limit theorems in probability theory (60F99)

Cites Work

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• On the distribution of the limit of products of i. i. d. \(2\times 2\) random stochastic matrices
• Topics in products of random matrices
• Absolute continuity of Bernoulli convolutions, a simple proof
• Invariant Probabilities for Certain Markov Processes