Deducing Three Gap Theorem from Rauzy-Veech induction

DOI10.15446/recolma.v54n1.89777zbMath1457.11102arXiv1807.11273OpenAlexW3066334433MaRDI QIDQ5855278

Christian Weiß

Publication date: 18 March 2021

Published in: Revista Colombiana de Matemáticas (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.11273

zbMATH Keywords

uniform distributioninterval exchange transformationKronecker sequenceRauzy-Veech inductionthree gap theorem

Mathematics Subject Classification ID

Distribution modulo one (11J71) Special sequences (11K31) Dynamical systems involving one-parameter continuous families of measure-preserving transformations (37A10)

Related Items (5)

Multi-dimensional Kronecker sequences with a small number of gap lengths ⋮ Deviation from equidistance for one-dimensional sequences ⋮ Some connections between discrepancy, finite gap properties, and pair correlations ⋮ Systems of rank one, explicit Rokhlin towers, and covering numbers ⋮ Sequences with almost Poissonian pair correlations

Cites Work

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• Sequences, discrepancies and applications
• A short proof of the 3d distance theorem
• Three distance theorems and combinatorics on words
• Ergodic theory of interval exchange maps
• The Three Gap Theorem and the Space of Lattices

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