Limiting behavior of random continued fractions

DOI10.1007/s00365-013-9198-yzbMath1300.40001OpenAlexW2148494773MaRDI QIDQ378150

Lisa Lorentzen

Publication date: 11 November 2013

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-013-9198-y

zbMATH Keywords

iterated function systemslinear fractional transformationsFurstenberg's theoremgeneral convergencerandom composition sequencesrandom continued factionsrandom Möbius transformationsrestrained sequences

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15) Limit theorems in probability theory (60F99)

Related Items (2)

Random continued fractions: Lévy constant and Chernoff-type estimate ⋮ A convergence theorem for random continued fractions

Cites Work

• Unnamed Item
• Continued fractions. Vol. 1: Convergence theory
• General Convergence of Continued Fractions
• Limiting Structures for Sequences of Linear Fractional Transformations
• Random iteration of Möbius transformations and Furstenberg's theorem
• Noncommuting Random Products

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