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Backward Continued Fractions and their Invariant Measures
Published online by Cambridge University Press: 20 November 2018
Abstract
This paper continues our investigation of backward continued fractions, associated with the generalized Renyi maps on [0,1). We first show that the dynamics of the shift map on a specific class of shift invariant spaces of nonnegative integer sequences exactly models the maps Tu for u € (0,4). In the second part we construct a new family of explicit invariant measures for certain values of the parameter u.
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- Copyright © Canadian Mathematical Society 1996
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