Monotonic semiconjugacies onto expanding maps of the interval

Byers, Bill

doi:10.1090/S0002-9939-1983-0712654-0

Monotonic semiconjugacies onto expanding maps of the interval
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Proc. Amer. Math. Soc. 89 (1983), 371-374 Request permission

Abstract:

A contraction mapping is used to produce a semiconjugacy from a map ${\tau _1}$ with maximum at ${c_1}$ to an expanding unimodal map with maximum at ${c_2}$ under the assumption that there is an interval $J$ containing ${c_1}$ such that there is a one-to-one, order-preserving correspondence between the orbit of $J$ under ${\tau _1}$ and the orbit of ${c_2}$ under the expanding map.

References

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