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Asymptotic formulas on flat surfaces

Published online by Cambridge University Press:  30 March 2001

ALEX ESKIN  and
HOWARD MASUR
ALEX ESKIN
Affiliation:
Department of Mathematics, University of Chicago, 5734 University Ave, Chicago, IL 60637-1514, USA (e-mail: eskin@math.uchicago.edu)
HOWARD MASUR
Affiliation:
Department of Mathematics, University of Illinois at Chicago, 851 South Morgan, Chicago, IL 60607, USA (e-mail: masur@math.uic.edu)
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Abstract

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We find asymptotics for the number of cylinders and saddle connections on flat surfaces. These results extend previous results of Veech.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 21 , Issue 2 , April 2001 , pp. 443 - 478
Copyright
2001 Cambridge University Press