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Irrational rotation
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1	SOME EXAMPLES HOW TO USE MEASURE CLASSIFICATION IN NUMBER THEORY ELON LINDENSTRAUSS 1. Introduction 1.1. Ergodic theory has proven itself to be a powerful method to tackle Add to Reading List Source URL: www.ma.huji.ac.il Language: English - Date: 2006-06-15 19:00:10 Ergodic theory Mathematical analysis Mathematics Dynamical systems Stochastic processes Topological groups Diophantine approximation Ergodicity Equidistributed sequence Invariant measure Irrational rotation Mixing
2	arXiv:math.OAv2 28 SepTHE STRUCTURE OF CROSSED PRODUCTS OF IRRATIONAL ROTATION ALGEBRAS BY FINITE SUBGROUPS OF SL2 (Z) ¨ SIEGFRIED ECHTERHOFF, WOLFGANG LUCK, Add to Reading List Source URL: 131.220.77.52 Language: English - Date: 2011-03-02 09:33:03 Differential forms Operator theory Approximately finite-dimensional C*-algebra Closed and exact differential forms Von Neumann algebra Amenable group F-algebra Constructible universe Differential forms on a Riemann surface Congruence lattice problem
3	THE VISITS TO ZERO OF A RANDOM WALK DRIVEN BY AN IRRATIONAL ROTATION A. AVILA, D. DOLGOPYAT, E. DURYEV, AND O. SARIG Abstract. We give a detailed analysis of the returns to zero of the “determinP istic random walk” S Add to Reading List Source URL: www.wisdom.weizmann.ac.il Language: English - Date: 2014-04-01 10:18:20
4	DENSITY OF POSITIVE LYAPUNOV EXPONENTS FOR QUASIPERIODIC SL(2, R) COCYCLES IN ARBITRARY DIMENSION ARTUR AVILA∗ Abstract. We show that given a fixed irrational rotation of the d-dimensional torus, any analytic SL(2, R) Add to Reading List Source URL: webusers.imj-prg.fr Language: English
5	A BSTRACT. We study causes of stretching of Birkhoff sums and study their action in the mixing of various surface flows. In so doing, we succeed in amplifying the result of Khanin and Sinai about mixing in the Arnold’s Add to Reading List Source URL: www.numerical-yoga-guru-rupnathji.net46.net Language: English - Date: 2013-02-20 06:17:02 Stochastic processes Statistics Mathematics Ergodicity Probability theory Mixing Irrational rotation Measure-preserving dynamical system Continuous function Mathematical analysis Ergodic theory Dynamical systems
6	Generic rigidity for circle diffeomorphisms with breaks Saša Kocić ∗ Department of Mathematics, The University of Mississippi Hume Hall 305, University, MS[removed]March 16, 2014 Add to Reading List Source URL: rene.ma.utexas.edu Language: English - Date: 2014-03-17 01:02:07 Mathematics Lie groups Functions and mappings Irrational rotation Rotation number Diffeomorphism Möbius transformation Circle map Geometry Dynamical systems Mathematical analysis
7	Proceedings of the International Congress of Mathematicians Hyderabad, India, 2010 Add to Reading List Source URL: www.mathunion.org Language: English - Date: 2013-04-24 07:33:09 Algebra Mathematical physics Fixed points Quantum field theory Renormalization group Rotation number Irrational rotation Renormalization Stable manifold Physics Dynamical systems Mathematics
8	Piecewise isometries – an emerging area of dynamical systems Arek Goetz Add to Reading List Source URL: math.sfsu.edu Language: English - Date: 2002-03-14 10:48:37 Mathematical analysis Interval exchange transformation Structure Mathematics Ergodic theory Chaos theory Attractor Irrational rotation Piecewise Systems theory Dynamical systems Systems

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