The Minimum Dilatation of Pseudo-Anosov 5-Braids

DOI10.1080/10586458.2007.10129000zbMath1151.37037arXivmath/0506295OpenAlexW2134396130MaRDI QIDQ3512343

Ji-Young Ham, Won Taek Song

Publication date: 11 July 2008

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

Full work available at URL: https://arxiv.org/abs/math/0506295

zbMATH Keywords

dilatationtopological entropybraidtrain trackpseudo-Anosov disk homeomorphisms

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Group actions on manifolds and cell complexes in low dimensions (57M60) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (14)

On lengths of filling closed geodesics of hyperbolic punctured Riemann spheres ⋮ A family of pseudo-Anosov braids with small dilatation ⋮ Minimal dilatations of pseudo-Anosovs generated by the magic 3-manifold and their asymptotic behavior ⋮ A construction of pseudo-Anosov braids with small normalized entropies ⋮ Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor ⋮ Small dilatation pseudo-Anosov homeomorphisms and 3-manifolds ⋮ Mapping tori of small dilatation expanding train-track maps ⋮ Least dilatation of pure surface braids ⋮ On the minimum dilatation of braids on punctured discs ⋮ Entropy and the clique polynomial ⋮ An analytic family of representations for the mapping class group of punctured surfaces ⋮ On period minimal pseudo-Anosov braids ⋮ Pseudo-Anosov maps with small stretch factors on punctured surfaces ⋮ Book Review: Thurston’s work on surfaces

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