A Note on Pseudo-Anosov Maps with Small Growth Rate

DOI10.1080/10586458.2004.10504522zbMath1049.37029arXivmath/0309411OpenAlexW2073625014MaRDI QIDQ4818677

Peter Brinkmann

Publication date: 1 October 2004

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309411

zbMATH Keywords

growth ratescomputer experimentspseudo-Anosov homeomorphismstrain tracks

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Group actions on manifolds and cell complexes in low dimensions (57M60) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04)

Related Items (3)

A family of pseudo-Anosov braids with small dilatation ⋮ On the minimum dilatation of braids on punctured discs ⋮ Book Review: Thurston’s work on surfaces

Uses Software

• XTrain

Cites Work

• Train tracks and automorphisms of free groups
• Train-tracks for surface homeomorphisms
• Planar trees, slalom curves and hyperbolic knots
• Unnamed Item

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