Geodesic
Rank and spectral multiplicity
Studia Mathematica, Tome 102 (1992) no. 2, pp. 121-144

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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.
DOI : 10.4064/sm-102-2-121-144
Keywords: spectral multiplicity, rank, Morse cocycles

Sébastien Ferenczi 1

1 
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Sébastien Ferenczi. Rank and spectral multiplicity. Studia Mathematica, Tome 102 (1992) no. 2, pp. 121-144. doi: 10.4064/sm-102-2-121-144

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