Geodesic
The asymptotic behavior of least pseudo-Anosov dilatations
Tsai, Chia-Yen1
1 Department of Mathematics, The University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, USA
Geometry & topology, Tome 13 (2009) no. 4, pp. 2253-2278.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

For a surface S with n marked points and fixed genus g ≥ 2, we prove that the logarithm of the minimal dilatation of a pseudo-Anosov homeomorphism of S is on the order of log(n)∕n. This is in contrast with the cases of genus zero or one where the order is 1∕n.

DOI : 10.2140/gt.2009.13.2253
Keywords: pseudo-Anosov dilatation, minimal translation length, mapping class group, Teichmuller space

Tsai, Chia-Yen 1

1 Department of Mathematics, The University of Illinois at Urbana-Champaign, 1409 West Green Street, Urbana, IL 61801, USA 
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Tsai, Chia-Yen. The asymptotic behavior of least pseudo-Anosov dilatations. Geometry & topology, Tome 13 (2009) no. 4, pp. 2253-2278. doi : 10.2140/gt.2009.13.2253. http://geodesic.mathdoc.fr/articles/10.2140/gt.2009.13.2253/

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