Dynamics Seminar

Event Information Asymptotic variance of the Beurling transform
15:10 on Monday April 20, 2015
16:00 on Monday April 20, 2015
BAB024, Bahen Center, 40 St. George St.
Oleg Ivrii

University of Helsinki

Motivated by questions on the boundary distortion of conformal maps, we study the asymptotic variance of the Beurling transform. The quantity is related to dimensions of quasicircles and to integral means of univalent functions. This is joint work with Kari Astala, Antti Perälä and István Prause.