Recurrent random walks in nonnegative matrices: Attractors of certain iterated function systems

DOI10.1007/BF01192059zbMath0739.60006OpenAlexW1971821958MaRDI QIDQ1182495

Arunava Mukherjea

Publication date: 28 June 1992

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01192059

zbMATH Keywords

attractorsiterated function systemsrecurrent points for random walks

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

Recurrent random walks in nonnegative matrices. II ⋮ A hierarchical structure of transformation semigroups with applications to probability limit measures ⋮ The structure of limit measures and their support on topological semigroups

Cites Work

• Random matrix products and measures on projective spaces
• Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities
• Recurrent random walks and invariant measures on semigroups of \(n\times n\) matrices
• Stationarity of GARCH processes and of some nonnegative time series
• Measures on topological semigroups: Convolution products and random walks
• Iterated function systems and the global construction of fractals
• An ergodic theorem for iterated maps
• Convergence in Distribution of Products of Random Matrices: A Semigroup Approach
• Remarks on the kernel of a matrix semigroup

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