M. Bonk

activity

20002022

most citedUniformization of Sierpiński carpets in the plane

46 citations · 73 across the 7 of their papers we have counts for

collaborators

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3 papers · 1 filter

math.DS2021★ 3 cited

Eliminating Thurston obstructions and controlling dynamics on curves

Mario Bonk, Mikhail Hlushchanka, Annina Iseli

Every Thurston map $f : S^{2} \to S^{2}$ on a $2$ -sphere $S^{2}$ induces a pull-back operation on Jordan curves $α \subset S^{2} ∖ P_{f}$ , where $P_{f}$ is the postcritical se…

math.DS2014

Quasisymmetries of Sierpiński carpet Julia sets

Mario Bonk, Misha Lyubich, Sergei Merenkov

We prove that if $ξ$ is a quasisymmetric homeomorphism between Sierpiński carpets that are the Julia sets of postcritically-finite rational maps, then $ξ$ is the restriction of a M…

math.DS2010

Expanding Thurston Maps

Mario Bonk, Daniel Meyer

We study the dynamics of Thurston maps under iteration. These are branched covering maps $f$ of 2-spheres $S^{2}$ with a finite set $p os t (f)$ of postcritical points. We also…