Non-Hermitian orthogonal polynomials,
meromorphic and Pade approximants.
UDC:
517.53
Subject:
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
A. I. Aptekarev, M. Yattselev, “The Gonchar–Chudnovskies conjecture and a functional analogue of the Thue–Siegel–Roth theorem”, Tr. Mosk. Mat. Obs., 83:2 (2022), 297–318
2021
2.
M. L. Yattselev, “On Multipoint Padé Approximants whose Poles Accumulate
on Contours that Separate the Plane”, Math. Notes, 110:5 (2021), 784–795
3.
M. L. Yattselev, “Convergence of two-point Padé approximants to piecewise holomorphic functions”, Mat. Sb., 212:11 (2021), 128–164; Sb. Math., 212:11 (2021), 1626–1659
A. I. Aptekarev, S. A. Denisov, M. L. Yattselev, “Discrete Schrödinger Operator on a Tree, Angelesco Potentials, and Their Perturbations”, Trudy Mat. Inst. Steklova, 311 (2020), 5–13; Proc. Steklov Inst. Math., 311 (2020), 1–9
A. I. Aptekarev, S. A. Denisov, M. L. Yattselev, “Selfadjoint Jacobi matrices on graphs and multiple orthogonal polynomials”, Keldysh Institute preprints, 2018, 003, 27 pp.
Alexander I. Aptekarev, Walter Van Assche, Maxim L. Yattselev, “Hermite–Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports”, Commun. Pure Appl. Math., 70:3 (2017), 444–510
A. I. Aptekarev, A. I. Bogolyubskii, M. Yattselev, “Convergence of ray sequences of Frobenius-Padé approximants”, Mat. Sb., 208:3 (2017), 4–27; Sb. Math., 208:3 (2017), 313–334
A. I. Aptekarev, M. L. Yattselev, “Approximations of algebraic functions by rational ones — functional analogues of diophantine approximants”, Keldysh Institute preprints, 2016, 084, 24 pp.
A. I. Aptekarev, S. A. Denisov, M. Yattselev, “Completely integrable on $\mathbb{Z}_+^d$ potentials for electromagnetic Schrodinger operator: rays asymptotics and scattering problem”, Keldysh Institute preprints, 2015, 088, 20 pp.
A. I. Aptekarev, D. N. Tulyakov, M. Yattselev, “On the Parametrization of a Certain Algebraic Curve of Genus 2”, Mat. Zametki, 98:5 (2015), 782–785; Math. Notes, 98:5 (2015), 843–846
L. Baratchart, M. L. Yattselev, “Meromorphic approximants to complex Cauchy transforms with polar singularities”, Mat. Sb., 200:9 (2009), 3–40; Sb. Math., 200:9 (2009), 1261–1297
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