Random walks on \(\mathbb{Z}\) with exponentially increasing step length and Bernoulli convolutions

DOI10.1216/RMJ-2019-49-6-1993zbMath1448.60099OpenAlexW2985935997MaRDI QIDQ2008594

Jörg Neunhäuserer

Publication date: 26 November 2019

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1572746430

zbMATH Keywords

entropyrandom walkslinear recurrencelimit distributionBernoulli convolutions\(n\)-Bonacci numbers

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Recurrences (11B37) Fractals (28A80)

Cites Work

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• Ergodic properties of the Erdős measure, the entropy of the goldenshift, and related problems
• Recent progress on Bernoulli convolutions
• Combinatorial and arithmetical properties of linear numeration systems
• Entropy and singularity of infinite convolutions
• The Entropy of a Certain Infinitely Convolved Bernoulli Measure
• Random Walk: A Modern Introduction
• Random Series in Powers of Algebraic Integers: Hausdorff Dimension of the Limit Distribution
• The local dimensions of the Bernoulli convolution associated with the golden number
• On the Smoothness Properties of a Family of Bernoulli Convolutions

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