2017/03/24 by Jacqueline Anderson, Irene I. Bouw, Anderson, Jacqueline +9
Mathematics · Physics and Astronomy · #Mathematical Dynamics and Fractals #Advanced Differential Equations and Dynamical Systems #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.1703.08563
We study the dynamical properties of a large class of rational maps with exactly three ramification points. By constructing families of such maps, we obtain infinitely many conservative maps of degree d; this answers a question of Silverman. Rather precise results on the reduction of these maps yield strong information on the rational dynamics.