14 citations · 38 across the 15 of their papers we have counts for
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math.CV2016
Sparse Beltrami coefficients, integral means of conformal mappings and the Feynman-Kac formula
Oleg Ivrii
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 es…
math.CV2016★ 6 cited
Makarov's principle for the Bloch unit ball
Oleg Ivrii, Ilgiz Kayumov
Makarov's principle relates three characteristics of Bloch functions that resemble the variance of a Gaussian: asymptotic variance, the constant in Makarov's law of iterated logari…
math.CV2016
On Makarov's principle in conformal mapping
Oleg Ivrii
We examine several characteristics of conformal maps that resemble the variance of a Gaussian: asymptotic variance, the constant in Makarov's law of iterated logarithm and the seco…