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A limit theorem for sojourns near indifferent fixed points of one-dimensional maps

Published online by Cambridge University Press:  06 August 2002

MAXIMILIAN THALER
MAXIMILIAN THALER
Affiliation:
Institute of Mathematics, University of Salzburg, Hellbrunnerstraße 34, A-5020 Salzburg, Austria (e-mail: Maximilian.Thaler@sbg.ac.at)
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Abstract

For a class of one-dimensional maps with two indifferent fixed points of the same order, a parallel to the arc-sine law for the number of positive partial sums of a real random walk is proved.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 4 , August 2002 , pp. 1289 - 1312
Copyright
© 2002 Cambridge University Press

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