Some ergodic properties of the negative slope algorithm

zbMath1135.11040MaRDI QIDQ2465253

Hitoshi Nakada, Koshiro Ishimura

Publication date: 9 January 2008

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1189717427

zbMATH Keywords

negative slope algorithmergodic properties

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Ergodicity, mixing, rates of mixing (37A25)

Related Items (2)

Some dynamic properties of the modified negative slope algorithm ⋮ Characterization of periodic points of the negative slope algorithm

Cites Work

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• On a Bernoulli property for multidimensional mappings with finite range structure
• Metrical theory for a class of continued fraction transformations and their natural extensions
• Structure of three-interval exchange transformations. II: A combinatorial description of the trajectories
• Structure of three-interval exchange transformations. III: Ergodic and spectral properties
• A self-dual induction for three-interval exchange transformations
• Structure of three interval exchange transformations. I: An arithmetic study

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