Geodesic flow on the Teichmueller disk of the regular octagon, cutting sequences and octagon continued fractions maps

zbMath1222.37012arXiv1004.2265MaRDI QIDQ2997059

John Smillie, Corinna Ulcigrai

Publication date: 6 May 2011

Full work available at URL: https://arxiv.org/abs/1004.2265

zbMATH Keywords

Teichmüller diskcoding trajectoriesoctagon continued fraction maps

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Symbolic dynamics (37B10) Flows on surfaces (37E35)

Related Items (13)

A Short Introduction to Translation Surfaces, Veech Surfaces, and Teichmüller Dynamics ⋮ Attractors of dual continued fractions ⋮ Billiards on Pythagorean triples and their Minkowski functions ⋮ On cutting sequences of the \(L\)-shaped translation surface tiled by three squares ⋮ Transcendence with Rosen continued fractions ⋮ Cutting sequences, regular polygons, and the Veech group ⋮ Dynamics and ``arithmetics of higher genus surface flows ⋮ Diophantine approximation on Veech surfaces ⋮ Octagonal continued fraction and diagonal changes ⋮ Markov numbers, Mather’s β function and stable norm ⋮ Decreasing height along continued fractions ⋮ You can hear the shape of a billiard table: symbolic dynamics and rigidity for flat surfaces ⋮ Diagonal changes for surfaces in hyperelliptic components

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