The Pascal automorphism has a continuous spectrum

DOI10.1007/s10688-011-0021-xzbMath1271.37007OpenAlexW2062002928MaRDI QIDQ366311

Anatoly M. Vershik

Publication date: 12 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-011-0021-x

zbMATH Keywords

entropycontinuous spectrumPascal automotphism

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items

Limiting curves for the Pascal adic transformation, Asymptotic theory of path spaces of graded graphs and its applications, Limiting curves for polynomial adic systems, Spectral theory of dynamical systems as diffraction theory of sampling functions, Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity, The theory of filtrations of subalgebras, standardness, and independence, Dynamics of metrics in measure spaces and scaling entropy, Groups generated by involutions of diamond-shaped graphs, and deformations of Young's orthogonal form, Invariant measures for Cantor dynamical systems, Random deviations of ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure, Exact number of ergodic invariant measures for Bratteli diagrams, Unnamed Item

Cites Work

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