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math.DS2020★ 9 cited
Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism
Tushar Das, Lior Fishman, David Simmons +1
We consider small perturbations of a conformal iterated function system (CIFS) produced by either adding or removing some generators with small derivative from the original. We est…
math.DS2020
The Dynamics and Geometry of Semi-Hyperbolic Rational Semigroups
Jason Atnip, Hiroki Sumi, Mariusz Urbański
We study skew-product dynamics for a large class of finitely-generated semi--hyperbolic semigroups of rational maps acting on the Riemann sphere, which generalizes both the theory…