Please use this identifier to cite or link to this item: http://idr.nitk.ac.in/jspui/handle/123456789/15580
Title: Invariance of kneading matrix under conjugacy
Authors: Gopalakrishna C.
Murugan, V.
Issue Date: 2021
Citation: Journal of the Korean Mathematical Society Vol. 58 , 2 , p. 265 - 281
Abstract: In the kneading theory developed by Milnor and Thurston, it is proved that the kneading matrix and the kneading determinant associated with a continuous piecewise monotone map are invariant under orientation-preserving conjugacy. This paper considers the problem for orientation-reversing conjugacy and proves that the former is not an invariant while the latter is. It also presents applications of the result towards the computational complexity of kneading matrices and the clas-sification of maps up to topological conjugacy. © 2021 Korean Mathematial Soiety.
URI: https://doi.org/10.4134/JKMS.j190378
https://idr.nitk.ac.in/jspui/handle/123456789/15580
Appears in Collections:1. Journal Articles

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