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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 |
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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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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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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. |
Lagrangian manifolds with degenerate fold and applications to the theory of wave beams A. V. Tsvetkova
Dynamics days in Sirius. On the occasion of academician Dmitry V. Treschev’s anniversary October 29, 2024 13:40
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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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4. |
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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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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Волновое уравнение на простейших декорированных графах A. V. Tsvetkova
Modern geometry methods December 1, 2021 19:00
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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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9. |
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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10. |
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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11. |
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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12. |
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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13. |
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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