Softcover ISBN:  9780821849583 
Product Code:  CONM/532 
List Price:  $88.00 
MAA Member Price:  $79.20 
AMS Member Price:  $70.40 
Electronic ISBN:  9780821882115 
Product Code:  CONM/532.E 
List Price:  $83.00 
MAA Member Price:  $74.70 
AMS Member Price:  $66.40 

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


Additional Material

RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Requests
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