4 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…
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…
Recurrent and gradient dynamics of Iterated Function Systems
Roberto De Leo
We study the qualitative dynamics of general Iterated Function Systems (IFSs) through chain recurrence and a decomposition into recurrent and gradient-like behavior. At the same ti…
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…