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Local dimensions for the random \(\beta \)-transformation

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Publication:374065
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zbMath1312.37004MaRDI QIDQ374065

Karma Dajani, Charlene Kalle

Publication date: 25 October 2013

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/NYJM/j/2013/19-15.html


zbMATH Keywords

local dimensionbeta-expansionBernoulli convolutionrandom transformation


Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Convolution, factorization for one variable harmonic analysis (42A85) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Dimension theory of smooth dynamical systems (37C45)


Related Items (6)

Invariant densities for random continued fractions ⋮ Random Lochs’ Theorem ⋮ The random continued fraction transformation ⋮ On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne ⋮ Invariant densities for random systems of the interval ⋮ Smale endomorphisms over graph-directed Markov systems




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