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Invariant Measures and Natural Extensions
Published online by Cambridge University Press: 20 November 2018
Abstract
We study ergodic properties of a family of interval maps that are given as the fractional parts of certain real Möbius transformations. Included are the maps that are exactly $n$-to-1, the classical Gauss map and the Renyi or backward continued fraction map. A new approach is presented for deriving explicit realizations of natural automorphic extensions and their invariant measures.
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- Copyright © Canadian Mathematical Society 2002
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