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...
Abstract
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 |
| Refereed: | Yes |
| Authors: | GÓRA, PAWEŁ and ESLAMI, PEYMAN |
| Journal or Publication: | The American Mathematical Monthly |
| Date: | 2011 |
| 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 |
References:
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