14 citations · 38 across the 15 of their papers we have counts for
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math.DS2015★ 8 cited
Quasicircles of dimension 1+k^2 do not exist
Oleg Ivrii
A well-known theorem of S. Smirnov states that the Hausdorff dimension of a -quasicircle is at most . Here, we show that the precise upper bound $D(k) = 1+Σ^2 k^2 + \math…
math.DS2015
The geometry of the Weil-Petersson metric in complex dynamics
Oleg Ivrii
In this work, we study an analogue of the Weil-Petersson metric on the space of Blaschke products of degree 2 proposed by McMullen. Via the Bers embedding, one may view the Weil-Pe…
math.CV2015★ 14 cited
Asymptotic variance of the Beurling transform
Kari Astala, Oleg Ivrii, Antti Perälä +1
We study the interplay between infinitesimal deformations of conformal mappings, quasiconformal distortion estimates and integral means spectra. By the work of McMullen, the second…