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Publications in Math-Net.Ru |
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2023 |
1. |
S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Nonlinear Effects and Run-up of Coastal Waves Generated by Billiards with Semi-rigid Walls in the Framework of Shallow Water Theory”, Trudy Mat. Inst. Steklova, 322 (2023), 111–123 ; Proc. Steklov Inst. Math., 322 (2023), 105–117 |
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2022 |
2. |
A. I. Aptekarev, S. Yu. Dobrokhotov, D. N. Tulyakov, A. V. Tsvetkova, “Plancherel–Rotach type asymptotic formulae for multiple orthogonal Hermite polynomials and
recurrence relations”, Izv. RAN. Ser. Mat., 86:1 (2022), 36–97 ; Izv. Math., 86:1 (2022), 32–91 |
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2021 |
3. |
A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for two-dimensional standing coastal waves”, Algebra i Analiz, 33:2 (2021), 5–34 ; St. Petersburg Math. J., 33:2 (2022), 185–205 |
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A. V. Tsvetkova, A. I. Shafarevich, “The wave equation with symmetric velocity on the hybrid manifold obtained by gluing a ray to a three-dimensional sphere”, Tr. Mosk. Mat. Obs., 82:2 (2021), 369–392 ; Trans. Moscow Math. Soc., 82 (2021), 305–325 |
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2020 |
5. |
A. V. Tsvetkova, A. I. Shafarevich, “Localized Asymptotic Solution of a Variable-Velocity Wave Equation on the Simplest Decorated Graph with Initial Conditions on a Surface”, Mat. Zametki, 108:4 (2020), 601–616 ; Math. Notes, 108:4 (2020), 590–602 |
6. |
A. V. Tsvetkova, A. I. Shafarevich, “Asymptotics of the Solution of a Wave Equation with Radially Symmetric Velocity on the Simplest Decorated Graph with Arbitrary Boundary Conditions at the Gluing Point”, Mat. Zametki, 107:3 (2020), 442–453 ; Math. Notes, 107:3 (2020), 478–487 |
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A. V. Tsvetkova, A. I. Shafarevich, “Localized Asymptotic Solution of a Variable-Velocity Wave Equation on the Simplest Decorated Graph”, Trudy Mat. Inst. Steklova, 308 (2020), 265–275 ; Proc. Steklov Inst. Math., 308 (2020), 250–260 |
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8. |
A. Yu. Anikin, S. Yu. Dobrokhotov, A. V. Tsvetkova, “Airy function and transition between the semiclassical and harmonic oscillator approximations for one-dimensional bound states”, TMF, 204:2 (2020), 171–180 ; Theoret. and Math. Phys., 204:2 (2020), 984–992 |
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2019 |
9. |
A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Asymptotic eigenfunctions of the operator $\nabla D(x)\nabla$ defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls”, Differ. Uravn., 55:5 (2019), 660–672 ; Differ. Equ., 55:5 (2019), 644–657 |
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10. |
Yu. V. Brezhnev, A. V. Tsvetkova, “On Hamiltonian Systems Integrable in Elliptic Functions That Describe Waves over Underwater Banks and Ridges”, Mat. Zametki, 105:6 (2019), 926–931 ; Math. Notes, 105:6 (2019), 917–922 |
11. |
A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the $\nabla D(x)\nabla$ Operator in Dimension 2 and Trapped Coastal Waves”, Mat. Zametki, 105:5 (2019), 792–797 ; Math. Notes, 105:5 (2019), 789–794 |
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12. |
A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems”, TMF, 201:3 (2019), 382–414 ; Theoret. and Math. Phys., 201:3 (2019), 1742–1770 |
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2018 |
13. |
S. Yu. Dobrokhotov, A. V. Tsvetkova, “Lagrangian Manifolds Related to the Asymptotics of Hermite Polynomials”, Mat. Zametki, 104:6 (2018), 835–850 ; Math. Notes, 104:6 (2018), 810–822 |
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14. |
S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova, “One Approach to the Computation of Asymptotics of Integrals of Rapidly Varying Functions”, Mat. Zametki, 103:5 (2018), 680–692 ; Math. Notes, 103:5 (2018), 33–43 |
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2016 |
15. |
A. V. Tsvetkova, A. I. Shafarevich, “The Cauchy Problem for the Wave Equation on Homogeneous Trees”, Mat. Zametki, 100:6 (2016), 923–931 ; Math. Notes, 100:6 (2016), 862–869 |
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Presentations in Math-Net.Ru |
1. |
Лагранжевы многообразия и локализованные пучки бесселева типа A. V. Tsvetkova, S. Yu. Dobrokhotov, V. E. Nazaikinskii
Conference dedicated to 70th anniversary of A. L. Skubachevsky December 14, 2023 12:15
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Асимптотики с комплексными фазами ортогональных полиномов, описываемых дифференциальными и разностными уравнениями A. V. Tsvetkova
September 19, 2023 18:45
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3. |
Глобальная асимптотика совместно ортогональных полиномов Эрмита $H_{(n_1,n_2)}(x)$ как решений дифференциального уравнения A. V. Tsvetkova
Traditional session of MIAN-PDMI "Differential Equations and Dynamical Systems" May 12, 2023 13:00
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4. |
Асимптотики локализованных пучков и лагранжевы многообразия A. V. Tsvetkova
Modern geometry methods March 22, 2023 18:30
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Асимптотики пучков Эрмита–Гаусса и Лагерра–Гаусса в виде функций Эйри и Бесселя A. V. Tsvetkova
November 10, 2022 18:30
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6. |
Волновое уравнение на простейших декорированных графах A. V. Tsvetkova
Modern geometry methods December 1, 2021 19:00
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7. |
A quasi-classical approximation in the problem of constructing asymptotics of multiple orthogonal Hermite polynomials S. Yu. Dobrokhotov, A. V. Tsvetkova
Seminar on Complex Analysis (Gonchar Seminar) November 8, 2021 17:00
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8. |
Real-valued semiclassical approximation for the asymptotics with complex-valued phases and its application to multiple orthogonal Hermite polynomials A. V. Tsvetkova
Complex Approximations, Orthogonal Polynomials and Applications Workshop June 9, 2021 09:30
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9. |
Равномерные асимптотические формулы в виде специальных функций в окрестности стандартных и нестандартных каустик в задачах с биллиардами с полужесткими стенками A. Yu. Anikin, S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. V. Tsvetkova
Differential geometry and applications September 21, 2020 17:45
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10. |
Равномерная асимптотика полинимов Эрмита и лангранжевы многообразия S. Yu. Dobrokhotov, A. V. Tsvetkova
Operator models in mathematical physics November 8, 2019 17:25
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11. |
Асимптотики спектральных задач, связанные с биллиардами геодезического потока на торе Лиувилля с вырождающейся на границе метрике S. Yu. Dobrokhotov, V. E. Nazaikinskii, A. Yu. Anikin, A. V. Tsvetkova
Modern geometry methods April 17, 2019 18:30
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12. |
The Cauchy problem to the wave equation on a homogeneous tree and singular spaces of constant curvature. The distribution of the energy A. V. Tsvetkova
Differential operators on singular spaces, algebraically integrable
systems and quantization December 5, 2016 18:30
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