Markov partitions for hyperbolic toral automorphisms of \(\mathbb{T}^2\)

DOI10.1216/rmjm/1181071758zbMath0970.37031OpenAlexW2091475940MaRDI QIDQ1293519

E. Rykken

Publication date: 8 August 1999

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/RMJ28-3/cont28-3/cont28-3.html

zbMATH Keywords

mapsMarkov partitionshyperbolic setstoral automorphisms

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems with hyperbolic orbits and sets (37D05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

Dynnikov and train track transition matrices of pseudo-Anosov braids

Cites Work

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• Geometry of Continued Fractions
• Similarity of automorphisms of the torus
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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