Geodesic
On the dynamics of ϕ:x→x p +a in a local field
Actes des rencontres du CIRM, Troisième Rencontre Internationale sur les Polynômes à Valeurs Entières, Tome 2 (2010) no. 2, pp. 81-85.

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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.

Publié le :
DOI : 10.5802/acirm.38
Classification : 37B99, 11F85
Keywords: Dynamical systems, local fields 
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Adam, David; Fares, Youssef. On the dynamics of $\varphi :x\rightarrow x^p +a$  in a local field. Actes des rencontres du CIRM, Troisième Rencontre Internationale sur les Polynômes à Valeurs Entières, Tome 2 (2010) no. 2, pp. 81-85. doi : 10.5802/acirm.38. http://geodesic.mathdoc.fr/articles/10.5802/acirm.38/

[1] D. Adam and Y. Fares, On two like-affine dynamical systems in a local field, preprint. | Zbl | MR | DOI

[2] A.-H. Fan and Y. Fares, Minimal subsystems of affine dynamics on local fields, Arch. Math. 96 (2011), 423–434. | Zbl | MR | DOI

[3] Y. Fares, Factorial preservation, Arch. Math. 83 (2004), 497–506. | DOI | Zbl | MR

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