Dilatations and continued fractions

DOI10.1016/0024-3795(92)90051-BzbMath0758.15002MaRDI QIDQ1195346

Max Bauer

Publication date: 26 October 1992

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

spectral radiusinteger matriceshyperbolic surfacesPerron-Frobenius matrixdilatationsgeneralized continued fractionspseudo-Anosov mapsprimitive irreducible matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Positive matrices and their generalizations; cones of matrices (15B48) Matrices of integers (15B36)

Related Items (2)

A characterization of uniquely ergodic interval exchange maps in terms of the Jacobi-Perron algorithm ⋮ Examples of Pseudo-Anosov Homeomorphisms

Cites Work

• A characterization of pseudo-Anosov foliations
• The real analytic theory of Teichmüller space
• Train-tracks for surface homeomorphisms
• Non-negative matrices and Markov chains.
• The Jacobi-Perron algorithm its theory and application
• Difféomorphismes pseudo-Anosov et automorphismes symplectiques de l'homologie
• The Modular Surface and Continued Fractions
• Bounds on Least Dilatations
• A Construction of Pseudo-Anosov Homeomorphisms
• Examples of Pseudo-Anosov Homeomorphisms
• Combinatorics of Train Tracks. (AM-125)
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