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On the dynamics of ϕ : x x p + a in a local field

David Adam, Youssef Fares (2010)

Actes des rencontres du CIRM

Let K be a local field, a K and ϕ : x x p + a where p denotes the characteristic of the residue field. We prove that the minimal subsets of the dynamical system ( K , ϕ ) are cycles and describe the cycles of this system.

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