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On the multiplicity function of ergodic group extensions of rotations

Geoffrey R. Goodson

Studia Mathematica · 1992 · 38 citations · 8 references

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Abstract

For an arbitrary set A ⊆ ℕ satisfying 1 ∈ A and lcm(m₁,m₂) ∈ A whenever m₁,m₂ ∈ A, an ergodic abelian group extension of a rotation for which the range of the multiplicity function equals A is constructed.

References

8

Ergodic measure preserving transformations with arbitrary finite spectral multiplicities

E. Arthur Robinson · Inventiones mathematicae · 1983 · 50 citations

, , +12

On the spectral multiplicity of a class of finite rank transformations

Geoffrey R. Goodson · Proceedings of the American Mathematical Society · 1985 · 36 citations

, , +7

On Canonical Factors of Ergodic Dynamical Systems

D. Newton · Journal of the London Mathematical Society · 1979 · 31 citations

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Transformations with highly nonhomogeneous spectrum of finite multiplicity

E. Arthur Robinson · Israel Journal of Mathematics · 1986 · 28 citations

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On the rank of a class of bijective substitutions

Geoffrey R. Goodson, Mariusz Lemańczyk · Studia Mathematica · 1990 · 17 citations · Full text

, , +4