Group automorphisms with few and with many periodic points

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Group Automorphisms with Few and with Many Periodic Points

For any C ∈ [0,∞] a compact group automorphism T : X → X is constructed with the property that 1 n log |{x ∈ X | T n(x) = x}| −→ C. This may be interpreted as a combinatorial analogue of the (still open) problem of whether compact group automorphisms exist with any given topological entropy.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2004

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-04-07626-9