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Mixing of asymmetric logarithmic suspension flows over interval exchange transformations

Published online by Cambridge University Press:  12 March 2007

CORINNA ULCIGRAI
CORINNA ULCIGRAI
Affiliation:
Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, USA (e-mail: ulcigrai@math.princeton.edu)
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Abstract

We consider suspension flows built over interval exchange transformations with the help of roof functions having an asymmetric logarithmic singularity. We prove that such flows are strongly mixing for a full measure set of interval exchange transformations.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 27 , Issue 3 , June 2007 , pp. 991 - 1035
Copyright
2007 Cambridge University Press

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