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On the distribution of periodic points for \(\beta\)-shifts

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Publication:1228296
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DOI10.1007/BF01526329zbMath0333.58008OpenAlexW2007195430MaRDI QIDQ1228296

Karl Sigmund

Publication date: 1976

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/177781



Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)


Related Items (8)

Large deviation principle for piecewise monotonic maps with density of periodic measures ⋮ Generic properties of invariant measures for simple piecewise monotonic transformations ⋮ Generic points for dynamical systems with average shadowing ⋮ Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift ⋮ Different asymptotic behavior versus same dynamical complexity: recurrence \& (ir)regularity ⋮ Transitively-saturated property, Banach recurrence and Lyapunov regularity ⋮ Optimization of ergodic averages along squares ⋮ On the density of periodic measures for piecewise monotonic maps and their coding spaces




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