Lyapunov spectrum for rational maps
Katrin Gelfert, Feliks Przytycki, Michal Rams
TL;DR
This paper investigates the spectrum of Lyapunov exponents for rational maps on the Riemann sphere, analyzing their dimension spectrum to understand the system's stability and chaotic behavior.
Contribution
It provides a detailed analysis of the Lyapunov spectrum for rational maps, offering new insights into their dynamical complexity.
Findings
Characterization of the Lyapunov spectrum for rational maps
Relationships between Lyapunov exponents and fractal dimensions
New results on the stability of rational map dynamics
Abstract
We study the dimension spectrum of Lyapunov exponents for rational maps on the Riemann sphere.
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