Title

Smoothness is not an obstruction to realizability

Abstract

Abstract A sequence of non-negative integers (φn) n=1∞ is said to be realizable if there is a map T of a set X such that φn = #{x:Tnx=x}. We prove that any realizable sequence can be realized by a ℂ∞ diffeomorphism of 2. © 2008 Cambridge University Press.

Publication Title

Ergodic Theory and Dynamical Systems

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