A general theory of self-similarity I

Details A general theory of self-similarity I A general theory of self-similarity I

2004-11-15

arxiv.org/abs/math/0411344v1

Mathematics

Dynamical Systems

49 pages

Scientific paper

Consider a self-similar space X. A typical situation is that X looks like several copies of itself glued to several copies of another space Y, and Y looks like several copies of itself glued to several copies of X, or the same kind of thing with more than two spaces. Thus, the self-similarity of X is described by a system of simultaneous equations. Here I formalize this idea and the notion of a `universal solution' of such a system. I determine exactly when a system has a universal solution and, when one does exist, construct it. A sequel (math.DS/0411345) contains further results and examples, and an introductory article (math.DS/0411343) gives an overview.

Affiliated with

Also associated with

No associations

Rating

A general theory of self-similarity I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A general theory of self-similarity I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A general theory of self-similarity I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-212464