A transformation theorem for one-dimensional F-expansions |
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Authors: | Scott B. Guthery |
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Affiliation: | Bell Telephone Laboratories, Incorporated, Holmdel, New Jersey 07733 USA |
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Abstract: | If f is a monotone function subject to certain restrictions, then one can associate with any real number x between zero and one a sequence {an(x)} of integers such that . In this paper properties of the function F defined by , where g is any function satisfying the same restrictions as f, are discussed. Principally, F is found to be useful in finding stationary measures on the sequences {an(x)}. |
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