منابع مشابه
On Strictly Ergodic Models Which Are Not Almost Topologically Conjugate
Answering a question raised by Glasner and Rudolph (1984) we construct uncountably many strictly ergodic topological systems which are metrically isomorphic to a given ergodic system (X,63, #, T) but not almost topologically conjugate to it.
متن کاملStrictly ergodic, uniform positive entropy models
© Bulletin de la S. M. F., 1994, tous droits réservés. L’accès aux archives de la revue « Bulletin de la S. M. F. » (http://smf. emath.fr/Publications/Bulletin/Presentation.html) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impress...
متن کاملStrictly Ergodic Subshifts and Associated Operators
We consider ergodic families of Schrödinger operators over base dynamics given by strictly ergodic subshifts on finite alphabets. It is expected that the majority of these operators have purely singular continuous spectrum supported on a Cantor set of zero Lebesgue measure. These properties have indeed been established for large classes of operators of this type over the course of the last twen...
متن کاملUniform Szego cocycles over strictly ergodic subshifts
We consider ergodic families of Verblunsky coefficients generated by minimal aperiodic subshifts. Simon conjectured that the associated probability measures on the unit circle have essential support of zero Lebesgue measure. We prove this for a large class of subshifts, namely those satisfying Boshernitzan’s condition. This is accomplished by relating the essential support to uniform convergenc...
متن کاملErgodic Billiards That Are Not Quantum Unique Ergodic
Partially rectangular domains are compact two-dimensional Riemannian manifolds X, either closed or with boundary, that contain a flat rectangle or cylinder. In this paper we are interested in partially rectangular domains with ergodic billiard flow; examples are the Bunimovich stadium, the Sinai billiard or Donnelly surfaces. We consider a one-parameter family Xt of such domains parametrized by...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1974
ISSN: 0001-8708
DOI: 10.1016/0001-8708(74)90075-9