Quasi-locally finite polynomial endomorphisms

A characterization of semisimple plane polynomial automorphisms

“…Section 4.2 is devoted to a few topological lemmas (Lemma 25 for example relies on the Brouwer fixed point theorem). Let us note that our paper uses and extends results of [10][11][12]2] and that [13] is heavily used too.…”

Locally finite polynomial endomorphisms

“…. , x N ) and K := {r ∈ C(X ), r • F = r }, it is shown in [13] that the following assertions are equivalent: (i) (F n (a)) n∈N is a LRS for any a; (ii) p(F) = 0 for some non-zero p ∈ K [T ].…”

Maps that are roots of power series

“…One noteworthy attempt at extending is the introduction of so-called quasi-LFPEs (in [5]), where maps F are studied which are "zero" of a polynomial with coefficients that are in…”