45 citations · 78 across the 9 of their papers we have counts for
4 papers · 1 filter
A simple upper bound for Lebesgue constants associated with Leja points on the real line
Vladimir Andrievskii, Fedor Nazarov
Let be a regular compact set and let be the Green function for with pole…
The power law for the Buffon needle probability of the four-corner Cantor set
Fedor Nazarov, Yuval Peres, Alexander Volberg
Let be the -th generation in the construction of the middle-half Cantor set. The Cartesian square of consists of squares of side-length . The cha…
Lower bounds for quasianalytic functions, II. The Bernstein quasianalytic functions
Alexander Borichev, Fedor Nazarov, Mikhail Sodin
Let F be a class of functions with the uniqueness property: if a function f in F vanishes on a set of positive measure, then f is the zero function. In many instances, we would lik…
The geometric Kannan-Lovasz-Simonovits lemma, dimension-free estimates for volumes of sublevel sets of polynomials, and distribution of zeroes of random analytic functions
F. Nazarov, M. Sodin, A. Volberg
The goal of this paper is to attract attention of the reader to a dimension-free geometric inequality that can be proved using the classical needle decomposition. This inequality a…