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Bulletin of the London Mathematical Society 2005 37(2):224-229; doi:10.1112/S0024609304003984
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© London Mathematical Society

Upper and Lower Bounds for the Minimal Positive Entropy of Pure Braids

Won Taek Song

School of Mathematics, Korea Institute for Advanced Study Seoul 130-722, Korea cape{at}kias.re.kr

Received 21 March 2003. Revision received 2 September 2003.

In this paper, the minimal positive entropy of pure braids is shown to be greater than Formula, independent of the braid index. For pure 3-braids, the minimal entropy is shown to be equal to Formula. 2000 Mathematics Subject Classification 37E30 (primary), 37B40 (secondary).

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


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