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UPPER AND LOWER BOUNDS FOR THE MINIMAL POSITIVE ENTROPY OF PURE BRAIDS

Published online by Cambridge University Press:  10 March 2005

WON TAEK SONG
WON TAEK SONG
Affiliation:
School of Mathematics, Korea Institute for Advanced Study, Seoul 130-722, Koreacape@kias.re.kr
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Abstract

In this paper, the minimal positive entropy of pure braids is shown to be greater than $\log(2+\sqrt5)$, independent of the braid index. For pure 3-braids, the minimal entropy is shown to be equal to $\log(3+2\sqrt2)$.

Keywords

37E30 (primary)37B40(secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 2 , March 2005 , pp. 224 - 229
Copyright
© The London Mathematical Society 2005

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Footnotes

This work was supported by the Post-doctoral Fellowship Program of the Korea Science & Engineering Foundation (KOSEF).