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    CORTEZ, MARÍA ISABEL DURAND, FABIEN and PETITE, SAMUEL 2015. Eigenvalues and strong orbit equivalence. Ergodic Theory and Dynamical Systems, p. 1.


    DURAND, FABIEN FRANK, ALEXANDER and MAASS, ALEJANDRO 2015. Eigenvalues of Toeplitz minimal systems of finite topological rank. Ergodic Theory and Dynamical Systems, Vol. 35, Issue. 08, p. 2499.


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    BEZUGLYI, S. KWIATKOWSKI, J. MEDYNETS, K. and SOLOMYAK, B. 2010. Invariant measures on stationary Bratteli diagrams. Ergodic Theory and Dynamical Systems, Vol. 30, Issue. 04, p. 973.


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    Afraimovich, V. Ugalde, E. and Urías, J. 2006. Fractal Dimensions for Poincaré Recurrences.


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  • Journal of the London Mathematical Society, Volume 67, Issue 3
  • June 2003, pp. 790-804

CONTINUOUS AND MEASURABLE EIGENFUNCTIONS OF LINEARLY RECURRENT DYNAMICAL CANTOR SYSTEMS

  • MARIA ISABEL CORTEZ (a1), FABIEN DURAND (a2), BERNARD HOST (a3) and ALEJANDRO MAASS (a4)
  • DOI: http://dx.doi.org/10.1112/S0024610703004320
  • Published online: 01 May 2003
Abstract

The class of linearly recurrent Cantor systems contains the substitution subshifts and some odometers. For substitutionsubshifts, measure-theoretical and continuous eigenvalues are the same. It is natural to ask whether this rigidity property remains true for the class of linearly recurrent Cantor systems. Partial answers are given to this question.

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Journal of the London Mathematical Society
  • ISSN: 0024-6107
  • EISSN: 1469-7750
  • URL: /core/journals/journal-of-the-london-mathematical-society
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