Hostname: page-component-84b7d79bbc-7nlkj Total loading time: 0 Render date: 2024-07-26T07:09:54.264Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

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