Analytic properties of Rényi’s invariant density |
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Authors: | Matthew Halfant |
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Institution: | (1) IBM Thomas J. Watson Research Center, 10598 Yorktown Heights, New York, USA |
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Abstract: | Under certain conditions a many-to-one transformation of the unit interval onto itself possesses a finite invariant ergodic
measure equivalent to Lebesgue measure. The purpose of this paper is to investigate these conditions and to show how differentiable
and analytic properties of the invariant density are inherited from the original transformation. |
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Keywords: | |
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