Search Results - "Polyakov, D."
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Spectral asymptotics of a non-self-adjoint fourth-order operator with periodic boundary conditions
Published in Theoretical and mathematical physics (01-10-2024)“…A non-self-adjoint fourth-order differential operator with nonsmooth coefficients and periodic boundary conditions is considered. Results concerning the…”
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Interacting electrons in disordered wires : Anderson localization and low-T transport
Published in Physical review letters (11-11-2005)“…We study the conductivity sigma(T) of interacting electrons in a low-dimensional disordered system at low temperature T. For weak interactions, the…”
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On the Spectral Properties of a Fourth-Order Self-Adjoint Operator
Published in Differential equations (01-02-2023)“…We consider a spectral problem for a fourth-order differential operator with real periodic coefficients and Neumann-type boundary conditions. For this…”
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The Spectral Properties of a Two-Term Fourth-Order Operator with a Spectral Parameter in the Boundary Condition
Published in Siberian mathematical journal (01-05-2023)“…We consider a spectral problem for a two-term fourth-order differential operator with nonsmooth potential. The boundary conditions involve a spectral…”
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Nonequilibrium phenomena in high Landau levels
Published in Reviews of modern physics (27-11-2012)“…Developments in the physics of 2D electron systems during the last decade revealed a new class of nonequilibrium phenomena in the presence of a moderately…”
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Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter
Published in Boletín de la Sociedad Matemática Mexicana (01-07-2024)“…We consider a fourth-order ordinary differential operator with boundary conditions dependent on the spectral parameter. The potential is real-valued and…”
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Dynamics of the Biogeochemical Composition of the Sediments from Marine Part of the Marginal Filter under the Influence of the Razdol’naya River Runoff (Amur Bay, Sea of Japan)
Published in Geochemistry international (01-12-2021)“…The contents of Si, Fe, Mn, K, P, V, Cr, Co, Ni, Pb, Cu, Zn, Cd, As, Sn, Mo, Li, Rb, Cs, Sc, Ga, Y, Hf, Ta, Nb, Th, U, С org , and clay minerals (HM, CHL, SM)…”
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Nonlocal Perturbation of a Periodic Problem for a Second-Order Differential Operator
Published in Differential equations (2021)“…We consider the spectral problem for a second-order differential operator with periodic boundary conditions and an integral perturbation. For this operator, we…”
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Spectral Estimates for the Fourth-Order Differential Operator with Periodic Coefficients
Published in Russian mathematics (01-07-2022)“…This article considers a self-adjoint fourth-order differential operator on the unit interval with real 1-periodic coefficients whose domain is defined by…”
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Spectral Estimates for the Fourth-Order Operator with Matrix Coefficients
Published in Computational mathematics and mathematical physics (01-07-2020)“…The fourth-order differential operator with matrix coefficients with the domain determined by quasi-periodic boundary conditions is considered. For this…”
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Spectral diffusion and scaling of many‐body delocalization transitions
Published in Annalen der Physik (01-07-2017)“…We analyze the role of spectral diffusion in the problem of many‐body delocalization in quantum dots and in extended systems. The spectral diffusion…”
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Estimates of Spectral Gap Lengths for Schrödinger and Dirac Operators
Published in Differential equations (01-05-2020)“…For one-dimensional non-selfadjoint Schrödinger and Dirac operators with periodic complex-valued potentials belonging to the class , asymptotic representations…”
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Spectral Asymptotics of Two-Term Even Order Operators with Involution
Published in Journal of mathematical sciences (New York, N.Y.) (02-02-2022)“…We consider a two-term even order operator with involution in the domain given by periodic or antiperiodic boundary conditions. We obtain asymptotics of…”
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Asymptotics for Eigenvalues of Schrödinger Operator with Small Translation and Dirichlet Condition
Published in Doklady. Mathematics (01-06-2024)“…We consider a non-self-adjoint Schrödinger operator on the unit interval with Dirichlet conditions perturbed by an operator of small translation. The main…”
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On the Spectral Characteristics of Non-Self-Adjoint Fourth-Order Operators with Matrix Coefficients
Published in Mathematical Notes (01-03-2019)Get full text
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A One-Dimensional Schrödinger Operator with Square-Integrable Potential
Published in Siberian mathematical journal (01-05-2018)“…We study the spectral properties of a one-dimensional Schrödinger operator with squareintegrable potential whose domain is defined by the Dirichlet boundary…”
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Hyperparameter Tuning of Neural Network for High-Dimensional Problems in the Case of Helmholtz Equation
Published in Moscow University physics bulletin (01-12-2023)“…In this work, we study the effectiveness of common hyperparameter optimization (HPO) methods for physics-informed neural networks (PINNs) with an application…”
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Effect of Ionization on Void Formation in an RF Discharge under Microgravity Conditions
Published in Plasma physics reports (01-02-2023)“…An analysis of the formation of a void in the PK3 setup in dusty plasma with 3.4-μm-diameter melamine–formaldehyde particles—in an RF discharge in argon at a…”
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Ion Confinement Efficiency in a Complex Plasma of Glow Discharge
Published in Russian journal of physical chemistry. B (01-08-2024)“…The parameters of the plasma of a low-pressure glow discharge in neon with microparticles, at which regions with equal values of the ion confinement efficiency…”
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Soils of Chalk Polygons of the Sub-Ural Plateau: Morphology, Properties, and Classification
Published in Eurasian soil science (2024)“…Unique soils of the chalk polygons in the steppe zone of Obshchii Syrt and the Sub-Ural Plateau have been studied. They are characterized by a combination of…”
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