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math.DS2022
Equilateral Triangulations and The Postcritical Dynamics of Meromorphic Functions
Christopher J. Bishop, Kirill Lazebnik, Mariusz Urbański
We show that any dynamics on any planar set discrete in some domain can be realized by the postcritical dynamics of a function holomorphic in , up to a small perturbatio…
math.DS1994★ 4 cited
Hausdorff dimension and Kleinian groups
Christopher J. Bishop, Peter Jones
Let G be a non-elementary, finitely generated Kleinian group, Lambda(G) its limit set and Omega(G) = S \ Lambda(G) (S = the sphere) its set of discontinuity. Let delta(G) be the cr…