Dynamics of sub-hyperbolic and semi-hyperbolic rational semigroups and skew products

By Hiroki Sumi. Ergodic Theory and Dynamical Systems, 2001

75 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/30b34130cdab9fe9fb062bf4f3d575ca4ff2926f

Citations in the corpus

• Random complex dynamics and semigroups of holomorphic maps (2008, background): “Moreover, if Γ is a non-empty compact subset of Rat+ and γ ∈ Γ, then by [29], Jγ is a perfect set and Jγ has uncountably many points.”
• Semi-hyperbolic fibered rational maps and rational semigroups (2005, methodology): “ various results on non-constant limit functions, and the continuity of the fiberwise Julia sets with respect to points in the base spaces (this is an important property and is not easy to show), from [S4]. Note that the upper semicontinuity of fiberwise Julia sets with respect to points in the base s”