Dynamical numbers : interplay between dynamical systems and number theory : a special program, May 1July 31, 2009 ; international conference, July 2024, 2009, Max Planck Institute for Mathematics, Bonn, Germany

Contributor(s): Koliada S FMaterial type: Computer fileComputer fileSeries: Contemporary mathematics ; v. 532Publication details: Providence, R.I. : American Mathematical Society, c2010Description: 1 online resource (xi, 242 p. : ill.)ISBN: 9780821882115 (online)Subject(s): Ergodic theory | Number theory | Topological algebrasOnline resources: Click here to access online
Contents:
Stationary dynamical systems ; Geodesic flow on the Teichmuller disk of the regular octagon, cutting sequences and octagon continued fractions maps ; Expansion of rational numbers in Mobius number systems ; Localisation of algebraic integers and polynomial iteration ; Horospheres and Farey fractions ; Exponential mixing for automorphisms on compact Kahler 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 ctions ; Statistics of matrix products in hyperbolic geometry ; Infinite sequence of fixed point free pseudoAnosov homeomorphisms on a family of genus two surfaces Hillel Furstenberg and Eli Glasner ; John Smillie and Corinna Ulcigrai ; Petr Kurka ; Pierre Moussa ; Jens Marklof ; TienCuong Dinh and Nessim Sibony ; A M Vershik ; Alexandre I Danilenko and Anton V Solomko ; Ilya Kapovich and Tatiana Nagnibeda ; Fedor Pakovich Christian Pech and Alexander K Zvonkin ; Douglas Lind Klaus Schmidt and Evgeny Verbitskiy ; Mark Pollicott and Richard Sharp ; Erwan Lanneau
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Contains the proceedings of the activity 'Dynamical Numbers : Interplay between Dynamical Systems and Number Theory' held at the Max Planck Institute for Mathematics (MPIM) in Bonn, from 1 May to 31 July, 2009, and the conference of the same title, also held at the Max Planck Institute, from 20 to 24 July, 2009Preface, p. vii.

Includes bibliographical references.

Stationary dynamical systems ; Geodesic flow on the Teichmuller disk of the regular octagon, cutting sequences and octagon continued fractions maps ; Expansion of rational numbers in Mobius number systems ; Localisation of algebraic integers and polynomial iteration ; Horospheres and Farey fractions ; Exponential mixing for automorphisms on compact Kahler 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 mathbb Z^d ctions ; Statistics of matrix products in hyperbolic geometry ; Infinite sequence of fixed point free pseudoAnosov homeomorphisms on a family of genus two surfaces Hillel Furstenberg and Eli Glasner ; John Smillie and Corinna Ulcigrai ; Petr Kurka ; Pierre Moussa ; Jens Marklof ; TienCuong Dinh and Nessim Sibony ; A M Vershik ; Alexandre I Danilenko and Anton V Solomko ; Ilya Kapovich and Tatiana Nagnibeda ; Fedor Pakovich Christian Pech and Alexander K Zvonkin ; Douglas Lind Klaus Schmidt and Evgeny Verbitskiy ; Mark Pollicott and Richard Sharp ; Erwan Lanneau

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