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pro vyhledávání: '"Maxim Yattselev"'
Autor:
Maxim Yattselev
Publikováno v:
Canadian Mathematical Bulletin. 66:142-155
$\bar {\partial } $ -extension of the matrix Riemann–Hilbert method is used to study asymptotics of the polynomials $ P_n(z) $ satisfying orthogonality relations $$ \begin{align*} \int_{-1}^1 x^lP_n(x)\frac{\rho(x)dx}{\sqrt{1-x^2}}=0, \quad l\in\{0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4c7f548377556cd42db517215816883d
https://doi.org/10.4153/s0008439522000145
https://doi.org/10.4153/s0008439522000145
Autor:
Maxim Yattselev
Publikováno v:
Mathematical Notes. 110:784-795
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f8124cd57eeb0e446deb0d478bc5b744
https://doi.org/10.1134/s0001434621110158
https://doi.org/10.1134/s0001434621110158
We investigate the phase diagram of the complex cubic unitary ensemble of random matrices with the potential [Formula: see text], where t is a complex parameter. As proven in our previous paper [Bleher et al., J. Stat. Phys. 166, 784–827 (2017)], t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a325693aadcf1ce932fadd8fcd370c5a
http://arxiv.org/abs/2201.12871
http://arxiv.org/abs/2201.12871
Autor:
Maxim Yattselev
Publikováno v:
Journal of Approximation Theory. 278:105738
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::19a2fed20076a7d36fffbfcb7996ec78
https://doi.org/10.1016/j.jat.2022.105738
https://doi.org/10.1016/j.jat.2022.105738
Asymptotic uniqueness of best rational approximants to complex Cauchy transforms in 𝐿² of the circle
Autor:
Laurent Baratchart, Maxim Yattselev
Publikováno v:
Recent Trends in Orthogonal Polynomials and Approximation Theory. :87-111
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::14bdf9a3e7a11704db7a128a9c9871c9
https://doi.org/10.1090/conm/507/09955
https://doi.org/10.1090/conm/507/09955