Geodesic
Dynamical systems in unramified or totally ramified extensions of a $\mathfrak p$-adic field
Izvestiya. Mathematics , Tome 69 (2005) no. 6, pp. 1279-1287.

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We use local field theory to study a special class of discrete dynamical systems, where the function being iterated is a polynomial whose coefficients belong to the ring of integers in a $\mathfrak p$-adic field. 
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P. Svensson. Dynamical systems in unramified or totally ramified extensions of a $\mathfrak p$-adic field. Izvestiya. Mathematics , Tome 69 (2005) no. 6, pp. 1279-1287. http://geodesic.mathdoc.fr/item/IM2_2005_69_6_a10/

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