Renormalization and ∗-product of the Horseshoe maps

The aim of this paper is to find the renormalization and star-product of the horseshoe maps. And to prove that the star-product of two horseshoe admissible pairs is a horseshoe admissible pair. Then to find the relationship between the zeta function of the star-product of two L(n, m) admissible pair...

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Bibliographic Details
Main Author: Almarri, Barakah Jaber
Format: Others
Published: OpenSIUC 2014
Online Access:https://opensiuc.lib.siu.edu/dissertations/909
https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1912&context=dissertations
Description
Summary:The aim of this paper is to find the renormalization and star-product of the horseshoe maps. And to prove that the star-product of two horseshoe admissible pairs is a horseshoe admissible pair. Then to find the relationship between the zeta function of the star-product of two L(n, m) admissible pairs and the zeta function of the originals.