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      IP-rigidity and eigenvalue groups

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          Abstract

          We examine the class of increasing sequences of natural numbers which are IP-rigidity sequences for some weakly mixing probability preserving transformation. This property is closely related to the uncountability of the eigenvalue group of a corresponding non-singular transformation. We give examples, including a super-lacunary sequence which is not IP-rigid.

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          Spectral Properties and Combinatorial Constructions in Ergodic Theory

          Anatole Katok, Jean-Paul Thouvenot (2006)
          Article 0 comments Cited 9 times – based on 0 reviews
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            Non singular transformations and spectral analysis of measures

            François Parreau, Bernard Host, Jean-François Méla (1991)
            Article 0 comments Cited 8 times – based on 0 reviews     Review now
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              On the Set of Points of Convergence of a Lacunary Trigonometric Series and the Equidistribution Properties of Related Sequences

              P. ERDÖS, S. TAYLOR, P Erdõs … (1957)
              Article 0 comments Cited 5 times – based on 0 reviews     Review now
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                Author and article information

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                Publication date Created: 2012-03-10
                Publication date Updated: 2012-05-25
                Article
                DOI: 10.1017/etds.2012.186
                ArXiV ID: 1203.2257
                SO-VID: 6a003237-5853-40aa-a292-ad99780dbb46
                License:

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                ACM classes 37A05, 37A30, 37A40
                Comments Some converses added
                Categories math.DS

                ScienceOpen disciplines: Differential equations & Dynamical systems
                Data availability:
                ScienceOpen disciplines: Differential equations & Dynamical systems

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