17 citations · 93 across the 34 of their papers we have counts for
Showing 2012 · math.DSShow all
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math.DS2012
Fractal Continuation
Michael F. Barnsley, Andrew Vince
A fractal function is a function whose graph is the attractor of an iterated function system. This paper generalizes analytic continuation of an analytic function to continuation o…
math.DS2012★ 1 cited
A Combinatorial Characterization of the Critical Itineraries of a Uniform Dynamical System
Michael Barnsley, Wolfgang Steiner, Andrew Vince
For a function from the unit interval to itself with constant slope and one discontinuity, the itineraries of the point of discontinuity are called the critical itineraries. These…
math.DS2012★ 4 cited
The chaos game on a general iterated function system from a topological point of view
Michael F. Barnsley, Krzysztof Leśniak
We investigate combinatorial issues relating to the use of random orbit approximations to the attractor of an iterated function system with the aim of clarifying the role of the st…