15 citations · 27 across the 4 of their papers we have counts for
Showing 2007 · math.DSShow all
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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
The equilibrium states for semigroups of rational maps
Hiroki Sumi, Mariusz Urbanski
We consider the dynamics of skew product maps associated with finitely generated semigroups of rational maps on the Riemann sphere. We show that under some conditions on the dynami…
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…