Ergodic Theory and Dynamical Systems

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Research Articles

Integrability conditions of geodesic flow on homogeneous Monge manifolds

 
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THIERRY COMBOT and THOMAS WATERS

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.46 (About DOI), Published online: Mon Sep 30 00:00:00 BST 2013

 

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A dichotomy theorem for minimizers of monotone recurrence relations

 
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BLAŽ MRAMOR and BOB RINK

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.47 (About DOI), Published online: Fri Sep 27 00:00:00 BST 2013

 

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Weak limits of powers of Chacon’s automorphism

 
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É. JANVRESSE, A. A. PRIKHOD’KO, T. DE LA RUE and V. V. RYZHIKOV

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.49 (About DOI), Published online: Fri Sep 27 00:00:00 BST 2013

 

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The \$\omega \$-limit sets of quadratic Julia sets

 
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ANDREW D. BARWELL and BRIAN E. RAINES

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.54 (About DOI), Published online: Fri Sep 27 00:00:00 BST 2013

 

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Characterizations of periods of multi-dimensional shifts

 
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EMMANUEL JEANDEL and PASCAL VANIER

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.60 (About DOI), Published online: Fri Sep 27 00:00:00 BST 2013

 

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Multiple recurrence for non-commuting transformations along rationally independent polynomials

 
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NIKOS FRANTZIKINAKIS and PAVEL ZORIN-KRANICH

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.63 (About DOI), Published online: Fri Sep 27 00:00:00 BST 2013

 

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Dimension and measure for typical random fractals

 
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JONATHAN M. FRASER

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.67 (About DOI), Published online: Fri Sep 27 00:00:00 BST 2013

 

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Projections of fractal percolations

 
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MICHAŁ RAMS and KÁROLY SIMON

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.45 (About DOI), Published online: Wed Sep 11 00:00:00 BST 2013

 

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Reeb periodic orbits after a bypass attachment

 
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ANNE VAUGON

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.55 (About DOI), Published online: Fri Aug 30 00:00:00 BST 2013

 

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Improved mixing rates for infinite measure-preserving systems

 
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DALIA TERHESIU

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.59 (About DOI), Published online: Fri Aug 30 00:00:00 BST 2013

 

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Rotation sets with non-empty interior and transitivity in the universal covering

 
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NANCY GUELMAN, ANDRES KOROPECKI and FABIO ARMANDO TAL

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.61 (About DOI), Published online: Wed Aug 28 00:00:00 BST 2013

 

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Invariant measures for interval maps with different one-sided critical orders

 
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HONGFEI CUI and YIMING DING

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.62 (About DOI), Published online: Wed Aug 28 00:00:00 BST 2013

 

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Circle maps and \${C}^{\ast } \$-algebras

 
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THOMAS LUNDSGAARD SCHMIDT and KLAUS THOMSEN

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.64 (About DOI), Published online: Wed Aug 28 00:00:00 BST 2013

 

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Unimodular random trees

 
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ITAI BENJAMINI, RUSSELL LYONS and ODED SCHRAMM

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.56 (About DOI), Published online: Tue Aug 20 00:00:00 BST 2013

 

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On the number of fixed points of a sofic shift-flip system

 
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YOUNG-ONE KIM and SIEYE RYU

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.57 (About DOI), Published online: Tue Aug 20 00:00:00 BST 2013

 

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A geometric path from zero Lyapunov exponents to rotation cocycles

 
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JAIRO BOCHI and ANDRÉS NAVAS

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.58 (About DOI), Published online: Tue Aug 20 00:00:00 BST 2013

 

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Rational maps whose Julia sets are Cantor circles

 
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WEIYUAN QIU, FEI YANG and YONGCHENG YIN

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.53 (About DOI), Published online: Mon Aug 19 00:00:00 BST 2013

 

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Hierarchies of chaotic maps on continua

 
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LOGAN HOEHN and CHRISTOPHER MOURON

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.32 (About DOI), Published online: Tue Aug 13 00:00:00 BST 2013

 

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Hopf type rigidity for thermostats

 
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YERNAT M. ASSYLBEKOV and NURLAN S. DAIRBEKOV

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.35 (About DOI), Published online: Tue Aug 13 00:00:00 BST 2013

 

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Weak equivalence and non-classifiability of measure preserving actions

 
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ROBIN D. TUCKER-DROB

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.40 (About DOI), Published online: Tue Aug 13 00:00:00 BST 2013

 

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Area-preserving diffeomorphisms of the torus whose rotation sets have non-empty interior

 
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SALVADOR ADDAS-ZANATA

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.44 (About DOI), Published online: Tue Aug 13 00:00:00 BST 2013

 

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Sharp large deviations for some hyperbolic systems

 
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VESSELIN PETKOV and LUCHEZAR STOYANOV

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.48 (About DOI), Published online: Tue Aug 13 00:00:00 BST 2013

 

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Subword complexity and Sturmian colorings of regular trees

 
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DONG HAN KIM and SEONHEE LIM

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.50 (About DOI), Published online: Tue Aug 13 00:00:00 BST 2013

 

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Abelian maximal pattern complexity of words

 
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TETURO KAMAE, STEVEN WIDMER and LUCA Q. ZAMBONI

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.51 (About DOI), Published online: Tue Aug 13 00:00:00 BST 2013

 

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Topological and algebraic reducibility for patterns on trees

 
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LLUÍS ALSEDÀ, DAVID JUHER and FRANCESC MAÑOSAS

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.52 (About DOI), Published online: Tue Aug 13 00:00:00 BST 2013

 

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Bounded density shifts

 
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BRETT STANLEY

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.38 (About DOI), Published online: Fri Jul 05 00:00:00 BST 2013

 

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\${C}^{r} \$ surface diffeomorphisms with no maximal entropy measure

 
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JÉRÔME BUZZI

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.25 (About DOI), Published online: Fri Jul 05 00:00:00 BST 2013

 

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Traces on cores of \${C}^{\ast } \$-algebras associated with self-similar maps

 
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TSUYOSHI KAJIWARA and YASUO WATATANI

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.26 (About DOI), Published online: Fri Jul 05 00:00:00 BST 2013

 

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Continuation and bifurcation associated to the dynamical spectral sequence

 
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R. FRANZOSA, K. A. DE REZENDE and M. R. DA SILVEIRA

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.29 (About DOI), Published online: Fri Jul 05 00:00:00 BST 2013

 

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Superstable manifolds of invariant circles and codimension-one Böttcher functions

 
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SCOTT R. KASCHNER and ROLAND K. W. ROEDER

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.39 (About DOI), Published online: Fri Jul 05 00:00:00 BST 2013

 

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Second-order ergodic theorem for self-similar tiling systems

 
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KONSTANTIN MEDYNETS and BORIS SOLOMYAK

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.27 (About DOI), Published online: Thu Jul 04 00:00:00 BST 2013

 

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Homomorphisms between diffeomorphism groups

 
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KATHRYN MANN

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.31 (About DOI), Published online: Thu Jul 04 00:00:00 BST 2013

 

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Smale spaces via inverse limits

 
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SUSANA WIELER

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.19 (About DOI), Published online: Fri Jun 28 00:00:00 BST 2013

 

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On the flips for a synchronized system

 
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HYEKYOUNG CHOI and YOUNG-ONE KIM

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.33 (About DOI), Published online: Fri Jun 28 00:00:00 BST 2013

 

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Robust minimality of iterated function systems with two generators

 
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ALE JAN HOMBURG and MEYSAM NASSIRI

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.34 (About DOI), Published online: Fri Jun 28 00:00:00 BST 2013

 

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Nilsequences, null-sequences, and multiple correlation sequences

 
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A. LEIBMAN

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.36 (About DOI), Published online: Fri Jun 28 00:00:00 BST 2013

 

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Analytic moduli for unfoldings of germs of generic analytic diffeomorphisms with a codimension \$k\$ parabolic point

 
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C. ROUSSEAU

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013. The online version of this article is published within an Open Access environment subject to the conditions of the Creative Commons Attribution-NonCommercial-ShareAlike licence <http://creativecommons.org/licenses/by-nc-sa/3.0/>. The written permission of Cambridge University Press must be obtained for commercial re-use. The online version of this article is published within an Open Access environment subject to the conditions of the Creative Commons Attribution-NonCommercial-ShareAlike licence <http://creativecommons.org/licenses/by-nc-sa/3.0/>. The written permission of Cambridge University Press must be obtained for commercial re-use.

DOI: http://dx.doi.org/10.1017/etds.2013.37 (About DOI), Published online: Fri Jun 28 00:00:00 BST 2013

 

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Mean dimension and a sharp embedding theorem: extensions of aperiodic subshifts

 
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YONATAN GUTMAN and MASAKI TSUKAMOTO

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.30 (About DOI), Published online: Tue Jun 25 00:00:00 BST 2013

 

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On the dynamics of generalized McMullen maps

 
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YINGQING XIAO, WEIYUAN QIU and YONGCHENG YIN

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.21 (About DOI), Published online: Wed Jun 05 00:00:00 BST 2013

 

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Diophantine type of interval exchange maps

 
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DONG HAN KIM

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.22 (About DOI), Published online: Wed Jun 05 00:00:00 BST 2013

 

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Actions of discrete groups on stationary Lorentz manifolds

 
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PAOLO PICCIONE and ABDELGHANI ZEGHIB

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.17 (About DOI), Published online: Wed Jun 05 00:00:00 BST 2013

 

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A characterization of topologically completely positive entropy for shifts of finite type

 
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RONNIE PAVLOV

Ergodic Theory and Dynamical Systems / FirstView Articles

© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.18 (About DOI), Published online: Mon Jun 03 00:00:00 BST 2013

 

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A dynamical system approach to the Kakutani–Fibonacci sequence

 
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INGRID CARBONE, MARIA RITA IACÒ and ALJOŠA VOLČIČ

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.20 (About DOI), Published online: Mon Jun 03 00:00:00 BST 2013

 

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Distribution of approximants and geodesic flows

 
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ALBERT M. FISHER and THOMAS A. SCHMIDT

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© Cambridge University Press, 2013 

DOI: http://dx.doi.org/10.1017/etds.2013.23 (About DOI), Published online: Mon Jun 03 00:00:00 BST 2013

 

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On the widths of the Arnol’d tongues

 
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KUNTAL BANERJEE

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press 

DOI: http://dx.doi.org/10.1017/etds.2013.11 (About DOI), Published online: Fri May 03 00:00:00 BST 2013

 

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Topological structure and entropy of mixing graph maps

 
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GRZEGORZ HARAŃCZYK, DOMINIK KWIETNIAK and PIOTR OPROCHA

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Copyright ©2013 Cambridge University Press 

DOI: http://dx.doi.org/10.1017/etds.2013.6 (About DOI), Published online: Tue Apr 30 00:00:00 BST 2013

 

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Skinning measures in negative curvature and equidistribution of equidistant submanifolds

 
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JOUNI PARKKONEN and FRÉDÉRIC PAULIN

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2012.192 (About DOI), Published online: Tue Apr 30 00:00:00 BST 2013

 

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Rigidity and non-recurrence along sequences

 
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V. BERGELSON, A. DEL JUNCO, M. LEMAŃCZYK and J. ROSENBLATT

Ergodic Theory and Dynamical Systems / FirstView Articles

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DOI: http://dx.doi.org/10.1017/etds.2013.5 (About DOI), Published online: Tue Apr 16 00:00:00 BST 2013

 

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On local aspects of topological weak mixing, sequence entropy and chaos

 
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PIOTR OPROCHA and GUOHUA ZHANG

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Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.13 (About DOI), Published online: Thu Apr 11 00:00:00 BST 2013

 

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Polynomial decay of correlations in linked-twist maps

 
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J. SPRINGHAM and R. STURMAN

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Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.8 (About DOI), Published online: Thu Apr 04 00:00:00 BST 2013

 

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Topological Wiener–Wintner theorems for amenable operator semigroups

 
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MARCO SCHREIBER

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.14 (About DOI), Published online: Thu Apr 04 00:00:00 BST 2013

 

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Attractive regular stochastic chains: perfect simulation and phase transition

 
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SANDRO GALLO and DANIEL Y. TAKAHASHI

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Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.7 (About DOI), Published online: Wed Apr 03 00:00:00 BST 2013

 

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Regular or stochastic dynamics in families of higher-degree unimodal maps

 
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TREVOR CLARK

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.10 (About DOI), Published online: Wed Apr 03 00:00:00 BST 2013

 

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A lower bound for topological entropy of generic non-Anosov symplectic diffeomorphisms

 
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THIAGO CATALAN and ALI TAHZIBI

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.12 (About DOI), Published online: Wed Apr 03 00:00:00 BST 2013

 

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\$\omega \$-recurrence in skew products

 
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JON CHAIKA and DAVID RALSTON

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Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.15 (About DOI), Published online: Wed Apr 03 00:00:00 BST 2013

 

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Intrinsic ergodicity via obstruction entropies

 
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VAUGHN CLIMENHAGA and DANIEL J. THOMPSON

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.16 (About DOI), Published online: Wed Apr 03 00:00:00 BST 2013

 

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Squirals and beyond: substitution tilings with singular continuous spectrum

 
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MICHAEL BAAKE and UWE GRIMM

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Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2012.191 (About DOI), Published online: Wed Mar 20 00:00:00 GMT 2013

 

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Hölder continuity of the Lyapunov exponent for analytic quasiperiodic Schrödinger cocycle with weak Liouville frequency

 
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JIANGONG YOU and SHIWEN ZHANG

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.4 (About DOI), Published online: Wed Mar 20 00:00:00 GMT 2013

 

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On the existence of maximizing measures for irreducible countable Markov shifts: a dynamical proof

 
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RODRIGO BISSACOT and RICARDO DOS SANTOS FREIRE, JR

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2012.194 (About DOI), Published online: Mon Mar 18 00:00:00 GMT 2013

 

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Variation of topological pressure and dimension: from polynomials to complex Hénon maps

 
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CHRISTIAN WOLF

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2012.166 (About DOI), Published online: Thu Mar 14 00:00:00 GMT 2013

 

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A convex structure on sofic embeddings

 
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LIVIU PĂUNESCU

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2012.193 (About DOI), Published online: Thu Mar 14 00:00:00 GMT 2013

 

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Aperiodic sequences and aperiodic geodesics

 
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VIKTOR SCHROEDER and STEFFEN WEIL

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Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.2 (About DOI), Published online: Thu Mar 14 00:00:00 GMT 2013

 

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Cube spaces and the multiple term return times theorem

 
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PAVEL ZORIN-KRANICH

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2013.9 (About DOI), Published online: Thu Mar 14 00:00:00 GMT 2013

 

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Multifractal formalism for Benedicks–Carleson quadratic maps

 
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YONG MOO CHUNG and HIROKI TAKAHASI

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2012.188 (About DOI), Published online: Mon Mar 11 00:00:00 GMT 2013

 

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A semi-invertible operator Oseledets theorem

 
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CECILIA GONZÁLEZ-TOKMAN and ANTHONY QUAS

Ergodic Theory and Dynamical Systems / FirstView Articles

Copyright ©2013 Cambridge University Press

DOI: http://dx.doi.org/10.1017/etds.2012.189 (About DOI), Published online: Mon Mar 11 00:00:00 GMT 2013

 

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