BIRS Workshop Lecture Videos
On M. dim f(S^1), where f is k-quasiconformal mapping whose dilatation is supported on a sparse set Ivrii, Oleg
In this talk, I will present an estimate for the dimension of a k-quasicircle which is the image of the unit circle under a k-quasiconformal mapping whose dilatation is supported on a union of horoballs located at least a hyperbolic distance R apart. The estimate is sharp up to a multiplicative constant. To motivate the proof, I will first discuss an analogous estimate for the growth of solutions of certain parabolic PDEs given by the Feynman-Kac formula.
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