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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: [email protected])
HOWARD MASUR
Affiliation:
Department of Mathematics, University of Illinois at Chicago, 851 South Morgan, Chicago, IL 60607, USA (e-mail: [email protected])
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Abstract

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

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

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