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ArticleOriginal scientific text

Title

Rank and spectral multiplicity

Authors 1, 2

Affiliations

  1. CNRS, URA 225, 163 Avenue de Luminy, F-13288 Marseille Cedex 9, France
  2. Institute of Mathematics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

Abstract

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.

Keywords

ENG
spectral multiplicity, rank, Morse cocycles

Bibliography

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Studia Mathematica
1992/102/2
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Pages:
121-144
Main language of publication
English
Received
1991-07-09
Published
1992
Exact and natural sciences