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Titlebook: Extended Abstracts Fall 2019; Spaces of Analytic F Evgeny Abakumov,Anton Baranov,Joaquim Ortega-Cerdà Conference proceedings 2021 The Edito

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Rate of Convergence of Critical Interfaces to SLE Curves,he hexagonal lattice and for some of its generalizations, which will also be discussed. In addition, we analyze a general framework for establishing these types of results for other models, such as Harmonic Explorer and the Ising model. The survey is based on joint projects with L. Chayes, H. Lei, and L. Richards.
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2297-0215 ill be of interest for specialists in Complex Analysis, Function and Operator theory, Approximation theory, and their applications, but also for young people starting their research in these areas..978-3-030-74416-8978-3-030-74417-5Series ISSN 2297-0215 Series E-ISSN 2297-024X
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Describing Blaschke Products by Their Critical Points,one might parametrize arbitrary inner functions using 1-generated invariant subspaces of the weighted Bergman space .. The proofs rely on the Liouville correspondence which provides a bridge between complex analysis and non-linear elliptic PDE.
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On Spectrum of a Class of Jacobi Matrices on Graph-Trees and Multiple Orthogonal Polynomials, trees. We use the coefficients of the recurrence relations for the Angelesco systems of MOPs to generate potentials for general class of the corresponding operators. Here we present asymptotic behavior of the recurrence coefficients for the ray’s sequences regime.
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De Branges Canonical Systems with Finite Logarithmic Integral,egral. We revisit this area by giving a description of canonical Hamiltonian systems whose spectral measures have logarithmic integral converging over the real line. Our result can be viewed as a spectral version of the classical Szegő theorem in the theory of polynomials orthogonal on the unit circ
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