Functional graphs of rational maps induced by endomorphisms of ordinary elliptic curves over finite fields
Sign Up to like & getrecommendations! Published in 2018 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-018-0242-3
Abstract: In this paper we study the dynamics of rational maps induced by endomorphisms of ordinary elliptic curves defined over finite fields. For any such map we describe the cycle and the tree structures of the… read more here.
Keywords: elliptic curves; maps induced; induced endomorphisms; ordinary elliptic ... See more keywords
Circle packings, kissing reflection groups and critically fixed anti-rational maps
Sign Up to like & getrecommendations! Published in 2022 at "Forum of Mathematics, Sigma"
DOI: 10.1017/fms.2021.81
Abstract: Abstract In this article, we establish an explicit correspondence between kissing reflection groups and critically fixed anti-rational maps. The correspondence, which is expressed using simple planar graphs, has several dynamical consequences. As an application of… read more here.
Keywords: rational maps; fixed anti; reflection groups; kissing reflection ... See more keywords