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Tytuł artykułu

Rank and spectral multiplicity

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For a dynamical system (X,T,μ), we investigate the connections between a metric invariant, the rank r(T), and a spectral invariant, the maximal multiplicity m(T). We build examples of systems for which the pair (m(T),r(T)) takes values (m,m) for any integer m ≥ 1 or (p-1, p) for any prime number p ≥ 3.
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Opis fizyczny
  • CNRS, URA 225, 163 Avenue de Luminy, F-13288 Marseille Cedex 9, France
  • Institute of Mathematics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
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