5 papers
The Chain Graph of a general Iterated Function System
Roberto De Leo
Classical fractal geometry describes the metric and topological structure of attractors generated by contractive Iterated Function Systems (IFSs). Much less is known about their gl…
Shadow chains and Conley chains for continuous-time semiflows
Roberto De Leo, James A. Yorke
In a recent series of articles we introduced the concept of "stream of a semiflow. A stream is a closed and transitive binary relation which extends the relation "being on the orbi…
Free maps in critical dimension on low-dimensional tori and closed surfaces
Roberto De Leo
We present a method to build free immersions in critical dimension on -tori for by using a factorization trick inspired by tori immersions in critical dimension. As…
A framework for the study of the qualitative dynamics of general Iterated Function Systems
Roberto De Leo
We develop a qualitative-dynamics framework for general Iterated Function Systems (IFSs) on locally compact spaces. Our approach extends to IFSs a framework recently developed in t…
Streams, Graphs and Global Attractors of Dynamical Systems on Locally Compact Spaces
Roberto De Leo, James A. Yorke
In a recent article, we introduced the concept of streams and graphs of a semiflow. An important related concept is the one of semiflow with {\em compact dynamics}, which we define…