Structure of three-interval exchange transformations. III: Ergodic and spectral properties

DOI10.1007/BF02789305zbMath1094.37005MaRDI QIDQ2565902

Charles Holton, Sébastien Ferenczi, Luca Q. Zamboni

Publication date: 28 September 2005

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

spectrumweakly mixinginterval exchange transformation

Mathematics Subject Classification ID

Related Items (21)

Some dynamic properties of the modified negative slope algorithm ⋮ The loss of tightness of time distributions for homeomorphisms of the circle ⋮ On the dimension group of unimodular \(\mathcal{S}\)-adic subshifts ⋮ Zero-measure Cantor spectrum for Schrödinger operators with low-complexity potentials ⋮ On the correlation of the Moebius function with rank-one systems ⋮ Interval exchanges that do not occur in free groups ⋮ Quantitative weak mixing for interval exchange transformations ⋮ Structure of three-interval exchange transformations. II: A combinatorial description of the trajectories ⋮ Dynamical generalizations of the Lagrange spectrum ⋮ Eigenvalues of minimal Cantor systems ⋮ A generalization of the self-dual induction to every interval exchange transformation ⋮ Some ergodic properties of the negative slope algorithm ⋮ Structure of three interval exchange transformations. I: An arithmetic study ⋮ Balance and abelian complexity of the Tribonacci word ⋮ Morphisms fixing words associated with exchange of three intervals ⋮ On Sarnak's conjecture and Veech's question for interval exchanges ⋮ Characterization of periodic points of the negative slope algorithm ⋮ Hausdorff dimension of a class of three-interval exchange maps ⋮ A self-dual induction for three-interval exchange transformations ⋮ Diagonal changes for every interval exchange transformation ⋮ Diagonal changes for surfaces in hyperelliptic components

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