eBook ISBN:  9780821882115 
Product Code:  CONM/532.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821882115 
Product Code:  CONM/532.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 532; 2010; 242 ppMSC: Primary 11; 20; 22; 30; 37; 54; 60
This volume contains papers from the special program and international conference on Dynamical Numbers which were held at the MaxPlanck Institute in Bonn, Germany in 2009.
These papers reflect the extraordinary range and depth of the interactions between ergodic theory and dynamical systems and number theory. Topics covered in the book include stationary measures, systems of enumeration, geometrical methods, spectral methods, and algebraic dynamical systems.
ReadershipGraduate students and research mathematicians interested in ergodic theory, dynamical systems, and number theory.

Table of Contents

Articles

Hillel Furstenberg and Eli Glasner — Stationary dynamical systems

John Smillie and Corinna Ulcigrai — Geodesic flow on the Teichmüller disk of the regular octagon, cutting sequences and octagon continued fractions maps

Petr Kůrka — Expansion of rational numbers in Möbius number systems

Pierre Moussa — Localisation of algebraic integers and polynomial iteration

Jens Marklof — Horospheres and Farey fractions

TienCuong Dinh and Nessim Sibony — Exponential mixing for automorphisms on compact Kähler manifolds

A. M. Vershik — Orbit theory, locally finite permutations and Morse arithmetic

Alexandre I. Danilenko and Anton V. Solomko — Ergodic abelian actions with homogeneous spectrum

Ilya Kapovich and Tatiana Nagnibeda — Geometric entropy of geodesic currents on free groups

Fedor Pakovich, Christian Pech and Alexander K. Zvonkin — Laurent polynomial moment problem: A case study

Douglas Lind, Klaus Schmidt and Evgeny Verbitskiy — Entropy and growth rate of periodic points of algebraic $\mathbb {Z}^d$actions

Mark Pollicott and Richard Sharp — Statistics of matrix products in hyperbolic geometry

Erwan Lanneau — Infinite sequence of fixed point free pseudoAnosov homeomorphisms on a family of genus two surfaces


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This volume contains papers from the special program and international conference on Dynamical Numbers which were held at the MaxPlanck Institute in Bonn, Germany in 2009.
These papers reflect the extraordinary range and depth of the interactions between ergodic theory and dynamical systems and number theory. Topics covered in the book include stationary measures, systems of enumeration, geometrical methods, spectral methods, and algebraic dynamical systems.
Graduate students and research mathematicians interested in ergodic theory, dynamical systems, and number theory.

Articles

Hillel Furstenberg and Eli Glasner — Stationary dynamical systems

John Smillie and Corinna Ulcigrai — Geodesic flow on the Teichmüller disk of the regular octagon, cutting sequences and octagon continued fractions maps

Petr Kůrka — Expansion of rational numbers in Möbius number systems

Pierre Moussa — Localisation of algebraic integers and polynomial iteration

Jens Marklof — Horospheres and Farey fractions

TienCuong Dinh and Nessim Sibony — Exponential mixing for automorphisms on compact Kähler manifolds

A. M. Vershik — Orbit theory, locally finite permutations and Morse arithmetic

Alexandre I. Danilenko and Anton V. Solomko — Ergodic abelian actions with homogeneous spectrum

Ilya Kapovich and Tatiana Nagnibeda — Geometric entropy of geodesic currents on free groups

Fedor Pakovich, Christian Pech and Alexander K. Zvonkin — Laurent polynomial moment problem: A case study

Douglas Lind, Klaus Schmidt and Evgeny Verbitskiy — Entropy and growth rate of periodic points of algebraic $\mathbb {Z}^d$actions

Mark Pollicott and Richard Sharp — Statistics of matrix products in hyperbolic geometry

Erwan Lanneau — Infinite sequence of fixed point free pseudoAnosov homeomorphisms on a family of genus two surfaces