A Foata bijection for the alternating group and for -analogues.

Bernstein, Dan; Regev, Amitai

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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 $C (T) / w c l T^{n} : n \in ℤ = \infty$

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Displaying similar documents to “A Foata bijection for the alternating group and for q -analogues.”

Displaying similar documents to “A Foata bijection for the alternating group and for $q$ -analogues.”