15 citations · 27 across the 4 of their papers we have counts for
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math.DS2007★ 12 cited
Some counterexamples in dynamics of rational semigroups
Rich Stankewitz, Toshiyuki Sugawa, Hiroki Sumi
We give an example of two rational functions with non-equal Julia sets that generate a rational semigroup whose completely invariant Julia set is a closed line segment. We also giv…
math.DS2007★ 15 cited
Dynamics of postcritically bounded polynomial semigroups
Hiroki Sumi
We investigate the dynamics of semigroups generated by a family of polynomial maps on the Riemann sphere such that the postcritical set in the complex plane is bounded. Moreover, w…