The minimum dilatation of pseudo-Anosov 5-braids

dc.creatorHam, Ji-Young
dc.creatorSong, Won Taek
dc.date2005-06-15
dc.date2006-01-24
dc.date.accessioned2026-07-07T06:42:26Z
dc.date.available2026-07-07T06:42:26Z
dc.descriptionThe minimum dilatation of pseudo-Anosov 5-braids is shown to be the largest zero $λ_5 \approx 1.72208$ of $x^4 - x^3 - x^2 - x + 1$ which is attained by $σ_1σ_2σ_3σ_4σ_1σ_2$.
dc.description21 pages, 9 figures; a Mathematica script included in the source file as fbrmin.m and fbrmin.ps; one more section is added for describing implementation and some more subsections are added to Introduction
dc.identifierhttps://arxiv.org/abs/math/0506295
dc.identifierhttp://arxiv.org/abs/math/0506295
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102041
dc.subjectGeometric Topology
dc.subjectDynamical Systems
dc.subject37E30 (Primary); 37B40, 57M60 (Secondary)
dc.titleThe minimum dilatation of pseudo-Anosov 5-braids
dc.typetext

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