On the primary orbits of star maps (first part)
Volume 29 / 2002
Applicationes Mathematicae 29 (2002), 157-183
MSC: Primary 37E15.
DOI: 10.4064/am29-2-4
Abstract
This paper is the first one of a series of two, in which we characterize a class of primary orbits of self maps of the $4$-star with the branching point fixed. This class of orbits plays, for such maps, the same role as the directed primary orbits of self maps of the $3$-star with the branching point fixed. Some of the primary orbits (namely, those having at most one coloured arrow) are characterized at once for the general case of $n$-star maps.
