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On Eventually Expanding Maps of the Interval


On Eventually Expanding Maps of the Interval

GÓRA, PAWEŁ and ESLAMI, PEYMAN (2011) On Eventually Expanding Maps of the Interval. The American Mathematical Monthly, 118 (7). pp. 629-635. ISSN 00029890

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Official URL: http://dx.doi.org/10.4169/amer.math.monthly.118.07...


In this paper we conjecture that the piecewise linear map f(x) = px for 0 ≤ x < 1/p, f(x) = sx - s/p for 1/p ≤ x ≤ 1, p > 1, 0 < s < 1, which has an expanding, onto branch and a contracting branch, is eventually piecewise expanding. We give a partial proof of the conjecture, in particular for values of p and s such that ⌈− ln(p(1−s)+s)/lns⌉ ≠ ⌈−lnp/lns⌉.

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Article
Journal or Publication:The American Mathematical Monthly
Digital Object Identifier (DOI):10.4169/amer.math.monthly.118.07.629
ID Code:976827
Deposited By: Danielle Dennie
Deposited On:29 Jan 2013 14:12
Last Modified:18 Jan 2018 17:43


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