This article is cited in 6 papers

Dynamical systems in unramified or totally ramified extensions of a $\mathfrak p$-adic field

P.-A. Svensson

Växjö University

Abstract: 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.

UDC: 511.23+517.938

MSC: 37C99, 11S05, 46S10

Received: 17.12.2003

DOI: 10.4213/im673

 English version: Izvestiya: Mathematics, 2005, 69:6, 1279–1287

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