Functional graphs of rational maps induced by endomorphisms of ordinary elliptic curves over finite fields

Abstract

In this paper we study the dynamics of rational maps induced by endomorphisms of ordinary elliptic curves defined over finite fields.

21 pages, Introduction revised, Section 3.2 revised, minor adjustments

References in corpus (1)

• On the iterations of certain maps $x\mapsto k\cdot (x+x^{-1})$ over finite fields of odd characteristic