Mariusz Urbański; Mario Roy; Sara Munday: Non-Invertible Dynamical Systems/Analytic Endomorphisms of the Riemann Sphere

Autori

• Mariusz Urban ski

Parametri

• Matematica

Maggiori informazioni sul libro

Complex dynamics is one of the most fascinating subjects of study and research in mathematics. This third volume in the series entitled Non-Invertible Dynamical Systems not only examines topological and analytical properties of the iteration of rational functions on the Riemann sphere (in particular, the Fatou and Julia sets) but also focuses on thermodynamic, ergodic and fractal properties of these functions (notably, equilibrium states, Bowen's formula and Sullivan’s conformal measures). This volume builds on the first two volumes in the series while simultaneously developing some methods and techniques specific to rational functions.

Lingua: Inglese

Pubblicato: 2023

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