Rationality of the zeta function for Ruelle-expanding maps
M\'ario Alexandre Magalh\~aes
TL;DR
This paper proves that the zeta function associated with Ruelle-expanding maps is a rational function, providing a significant insight into the dynamical properties of these systems.
Contribution
It establishes the rationality of the zeta function for Ruelle-expanding maps, a result not previously confirmed.
Findings
Zeta function for Ruelle-expanding maps is rational
Provides a new understanding of the dynamical zeta function
Advances theoretical knowledge in dynamical systems
Abstract
We will prove that the zeta function for Ruelle-expanding maps is rational.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Mathematical Dynamics and Fractals