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Book Synopsis

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.

Analytic Endomorphisms of the Riemann Sphere

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    Order before 4pm today for delivery by Tue 23 Jun 2026.

    A Hardback by Mariusz Urbański, Mario Roy, Sara Munday


      View other formats and editions of Analytic Endomorphisms of the Riemann Sphere by Mariusz Urbański

      Publisher: De Gruyter
      Publication Date: 05/09/2023
      ISBN13: 9783110769845, 978-3110769845
      ISBN10:

      Description

      Book Synopsis

      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.

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