Renormalization and ∗-product of the Horseshoe maps

摘要

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.