17 citations · 64 across the 22 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.DS2011★ 1 cited
Fractal Homeomorphism for Bi-affine Iterated Function Systems
Michael Barnsley, Andrew Vince
The paper concerns fractal homeomorphism between the attractors of two bi-affine iterated function systems. After a general discussion of bi-affine functions, conditions are provid…
math.DS2011★ 2 cited
Homeomorphisms generated from overlapping affine iterated function systems
Michael F. Barnsley, Brendan Harding, Andrew Vince
We develop the theory of fractal homeomorphisms generated from pairs of overlapping affine iterated function systems.
math.DS2011★ 11 cited
The Entropy of an Overlapping Dynamical System
Michael F. Barnsley, Brendan Harding, Andrew Vince
The term "overlapping" refers to a certain fairly simple type of piecewise continuous function from the unit interval to itself and also to a fairly simple type of iterated functio…