Geodesic
Inverse limit of $M$ -cocycles and applications
Fundamenta Mathematicae, Tome 157 (1998) no. 2, pp. 261-276 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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For any m, 2 ≤ m ∞, we construct an ergodic dynamical system having spectral multiplicity m and infinite rank. Given r > 1, 0 b 1 such that rb > 1 we construct a dynamical system (X, B, μ, T) with simple spectrum such that r(T) = r, F*(T) = b, and $#C(T)/wcl{T^n: n ∈ ℤ} = ∞$
DOI : 10.4064/fm-157-2-3-261-276
Mots-clés : multiplicity, rank, compact group extension, Morse cocycle

Jan Kwiatkowski 1

1 
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Jan Kwiatkowski. Inverse limit of $M$ -cocycles and applications. Fundamenta Mathematicae, Tome 157 (1998) no. 2, pp. 261-276. doi: 10.4064/fm-157-2-3-261-276

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