Hausdorff dimension of the recurrence sets of Gauss transformation on the field of Laurent series

DOI10.7169/facm/1291903395zbMath1222.11099OpenAlexW2080866672MaRDI QIDQ617793

Lan Zhang, Sikui Wang

Publication date: 13 January 2011

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.facm/1291903395

zbMATH Keywords

Hausdorff dimensioncontinued fractionformal Laurent seriesrecurrence set

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Cites Work

• On metric Diophantine approximation in the field of formal Laurent series
• Linear complexity profiles: Hausdorff dimensions for almost perfect profiles and measures for general profiles
• On continued fraction expansions in positive characteristic: equivalence relations and some metric properties
• Recurrence, dimensions, and Lyapunov exponents.
• Cantor sets determined by partial quotients of continued fractions of Laurent series
• The Probabilistic Theory of Linear Complexity
• On well-approximable matrices over a field of formal series
• On continued fractions and diophantine approximation in power series fields
• On the sum of degrees of digits occurring in continued fraction expansions of Laurent series

This page was built for publication: Hausdorff dimension of the recurrence sets of Gauss transformation on the field of Laurent series