Group Automorphisms with Few and with Many Periodic Points
نویسنده
چکیده
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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تاریخ انتشار 2005