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On the structure of isentropes of real polynomials
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Kozlovski, O. (2019) On the structure of isentropes of real polynomials. Journal of the London Mathematical Society, 100 (1). pp. 159-182. doi:10.1112/jlms.12207 ISSN 1469-7750.
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Official URL: https://doi.org/10.1112/jlms.12207
Abstract
In this paper we will modify the Milnor–Thurston map, which maps a one dimensional mapping to a piece-wise linear of the same entropy, and study its properties. This will allow us to give a simple proof of monotonicity of topological entropy for real polynomials and better understand when a one dimensional map can and cannot be approximated by hyperbolic maps of the same entropy. In particular, we will find maps of particular combinatorics which cannot be approximated by hyperbolic maps of the same entropy.
| Item Type: | Journal Article | ||||||||
|---|---|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||
| Library of Congress Subject Headings (LCSH): | Polynomials, Combinatorial analysis , Entropy | ||||||||
| Journal or Publication Title: | Journal of the London Mathematical Society | ||||||||
| Publisher: | London Mathematical Society | ||||||||
| ISSN: | 1469-7750 | ||||||||
| Official Date: | August 2019 | ||||||||
| Dates: |
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| Volume: | 100 | ||||||||
| Number: | 1 | ||||||||
| Page Range: | pp. 159-182 | ||||||||
| DOI: | 10.1112/jlms.12207 | ||||||||
| Status: | Peer Reviewed | ||||||||
| Publication Status: | Published | ||||||||
| Reuse Statement (publisher, data, author rights): | This is the peer reviewed version of the following article: Kozlovski, O. (2019), On the structure of isentropes of real polynomials. J. London Math. Soc. which has been published in final form at https://doi.org/10.1112/jlms.12207 This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. | ||||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||||
| Date of first compliant deposit: | 3 January 2019 | ||||||||
| Date of first compliant Open Access: | 25 January 2020 | ||||||||
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