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arXiv · 1608.05872

Sparse Beltrami coefficients, integral means of conformal mappings and the Feynman-Kac formula

Oleg Ivrii
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Abstract

In this note, we give an estimate for the dimension of the image of the unit circle under a quasiconformal mapping whose dilatation has small support. We also prove an analogous estimate for the rate of growth of a solution of a second-order parabolic equation given by the Feynman-Kac formula (with a sparsely supported potential) and introduce a dictionary between the two settings.

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Oleg Ivrii. 2017-01-03. Sparse Beltrami coefficients, integral means of conformal mappings and the Feynman-Kac formula. https://arxiv.org/abs/1608.05872

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