Dynamical Numbers : Interplay between Dynamical Systems and Number Theory.

Intro -- Contents -- Preface -- List of Participants -- Stationary dynamical systems -- Introduction -- 1. Stationary dynamical systems -- 2. Examples -- 3. Joinings -- 4. A structure theorem for stationary systems -- 5. A Nevo-Zimmer type theorem in an abstract setup -- 6. A Szemerédi type theorem for SL(2,R). -- 7. WAP actions are stiff -- 8. The SAT property -- References -- Geodesic flow on the Teichmüller disk of the regular octagon, cutting sequences and octagon continued fractions maps -- Expansion of rational numbers in Möbius number systems -- Localisation of algebraic integers and polynomial iteration -- Horospheres and Farey fractions -- Exponential mixing for automorphisms on compact Kähler manifolds -- Orbit theory, locally finite permutations and Morse arithmetic -- Ergodic abelian actions with homogeneous spectrum -- Geometric entropy of geodesic currents on free groups -- Laurent polynomial moment problem: A case study -- Entropy and growth rate of periodic points of algebraic Zd-actions -- Statistics of matrix products in hyperbolic geometry -- Infinite sequence of fixed point free pseudo-Anosov homeomorphisms on a family of genus two surface.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.