Open AccessDensity of backward paths on the Julia set of a semigroup
Author(s) -
Gerardo Chacón,
Renato Colucci,
Daniele D’Angeli
Publication year - 2014
Publication title -
sarajevo journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 2233-1964
pISSN - 1840-0655
DOI - 10.5644/sjm.10.1.10
Subject(s) - mathematics , semigroup , julia set , set (abstract data type) , pure mathematics , computer science , programming language
A well-known result from the theory of dynamics of semigroups of rational functions is that the backward orbit of almost every complex number accumulates on the Julia set of the semigroup. In this article we significantly improve that result by giving a tree structure to the backward orbit and showing that almost every path of the tree is dense in the Julia set of the semigroup.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom