Inverse limit of $M$ -cocycles and applications
Volume 157 / 1998
Fundamenta Mathematicae 157 (1998), 261-276
DOI: 10.4064/fm-157-2-3-261-276
Abstract
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 $#C(T)/wcl{T^n: n ∈ ℤ} = ∞$
