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math.DS2015
Backward Iteration Algorithms for Julia sets of Möbius Semigroups
Rich Stankewitz, Hiroki Sumi
We extend a result regarding the Random Backward Iteration algorithm for drawing Julia sets (known to work for certain rational semigroups containing a non-Möbius element) to a cla…
math.DS2015
Dynamics of infinitely generated nicely expanding rational semigroups and the inducing method
Johannes Jaerisch, Hiroki Sumi
We investigate the dynamics of semigroups of rational maps on the Riemann sphere. To establish a fractal theory of the Julia sets of infinitely generated semigroups of rational map…