Inverse limit of M-cocycles and applications
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چکیده
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{Tn : n ∈ Z} =∞.
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