On computing the entropy of braids

DOI10.1007/s11853-007-0004-xzbMath1149.37302arXivmath/0603355OpenAlexW2594841665MaRDI QIDQ952228

Jacques-Olivier Moussafir

Publication date: 11 November 2008

Published in: Functional Analysis and Other Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0603355

zbMATH Keywords

surface diffeomorphismstopological entropylaminationbraidpseudo-Anosov maptrain tracks

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Topological entropy (37B40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (12)

Topological entropy and secondary folding ⋮ INTERSECTIONS OF MULTICURVES FROM DYNNIKOV COORDINATES ⋮ Geometric intersection of curves on punctured disks ⋮ Dynnikov coordinates on punctured torus ⋮ Finite-time braiding exponents ⋮ The entropy efficiency of point-push mapping classes on the punctured disk ⋮ Integral laminations on nonorientable surfaces ⋮ Counting components of an integral lamination ⋮ Dynnikov and train track transition matrices of pseudo-Anosov braids ⋮ On the topological entropy of families of braids ⋮ Geometric mixing ⋮ Topological Entropy of Surface Braids and Maximally Efficient Mixing

Uses Software

• NTL

Cites Work

• Unnamed Item
• Topological methods in surface dynamics
• Train-tracks for surface homeomorphisms
• On the complexity of braids.
• On a Yang-Baxter map and the Dehornoy ordering

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