SELF-SIMILAR CORRECTIONS TO THE ERGODIC THEOREM FOR THE PASCAL-ADIC TRANSFORMATION

DOI10.1142/S0219493705001250zbMath1072.37006arXivmath/0406078OpenAlexW1967326780MaRDI QIDQ4662167

Thierry De La Rue, Élise Janvresse, Yvan Velenik

Publication date: 30 March 2005

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406078

zbMATH Keywords

ergodic theoremPascal-adic transformationBlancmange functionConway recursive sequenceself-afffine function

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Fractals (28A80)

Related Items (9)

Limiting curves for the Pascal adic transformation ⋮ Asymptotic theory of path spaces of graded graphs and its applications ⋮ The Pascal automorphism has a continuous spectrum ⋮ Limiting curves for polynomial adic systems ⋮ The theory of filtrations of subalgebras, standardness, and independence ⋮ Limiting curves for the dyadic odometer ⋮ Convergence of Pascal-like triangles in Parry-Bertrand numeration systems ⋮ The Kruskal-Katona function, Conway sequence, Takagi curve, and Pascal adic ⋮ Random deviations of ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure

Cites Work

• On Conway's recursive sequence
• A theorem on the Markov periodic approximation in ergodic theory
• The box dimension of self-affine graphs and repellers
• Conway's Challenge Sequence
• Invariance principles and Gaussian approximation for strictly stationary processes

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