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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…
math.DS2005
Semi-hyperbolic fibered rational maps and rational semigroups
Hiroki Sumi
We consider fiber-preserving complex dynamics on fiber bundles whose fibers are Riemann spheres and whose base spaces are compact metric spaces. In this context, without any assump…