Non-Hermitian orthogonal polynomials, meromorphic and Pade approximants.
Main publications:
P. Bleher, A. Deaño, M. Yattselev, “Topological expansion in the complex cubic log–gas model. One–cut case”, J. Statist. Phys., 166:3–4 (2017), 784–827
A.I. Aptekarev, W. Van Assche, M. Yattselev, “Hermite-Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports”, Comm. Pure Appl. Math., 70:3 (2017), 444–510
A.I. Aptekarev, M. Yattselev, “Padé approximants for functions with branch points — strong asymptotics of Nuttall-Stahl polynomials”, Acta Math., 215:2 (2015), 217–280
C.D. Sinclair, M. Yattselev, “Root statistics of random polynomials with bounded Mahler measure”, Adv. Math., 272 (2015), 124–199
L. Baratchart, H. Stahl, M. Yattselev, “Weighted extremal domains and best rational approximation”, Adv. Math., 229 (2012), 357–407
