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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
M. V. Platonova, K. S. Ryadovkin, “Moment asymptotics of particle numbers at vertices for a supercritical branching random walk on a periodic graph”, Teor. Veroyatnost. i Primenen., 68:2 (2023), 277–300 ; Theory Probab. Appl., 68:2 (2023), 231–249 |
2. |
I. A. Alexeev, M. V. Platonova, “Probabilistic approximation of the Schrödinger equation by complex-valued random processes”, Zap. Nauchn. Sem. POMI, 526 (2023), 17–28 |
3. |
M. V. Platonova, “An analogue of the Feynman–Kac formula for the multidimensional Shrödinger equation”, Zap. Nauchn. Sem. POMI, 525 (2023), 96–108 |
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2022 |
4. |
V. A. Vinogradov, K. A. Karpov, M. V. Platonova, A. V. Turlapov, “Prospects for anisotropic superfluidity in a Fermi gas of dysprosium”, Kvantovaya Elektronika, 52:6 (2022), 528–531 [Quantum Electron., 52:6 (2022), 528–531 ] |
5. |
M. V. Platonova, “An analogue of the Feynman–Kac formula for a high-order operator”, Teor. Veroyatnost. i Primenen., 67:1 (2022), 81–99 ; Theory Probab. Appl., 67:1 (2022), 62–76 |
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6. |
M. V. Platonova, “On a probabilistic approximation of a group of unitary operators”, Zap. Nauchn. Sem. POMI, 510 (2022), 211–224 |
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2021 |
7. |
M. V. Platonova, K. S. Ryadovkin, “Asymptotic behaviour of some branching random walk functionals mean values”, Zap. Nauchn. Sem. POMI, 505 (2021), 185–206 |
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2020 |
8. |
M. V. Platonova, S. V. Tsykin, “Probabilistic approximation of the evolution operator $e^{itH}$, where $H=\dfrac{(-1)^md^{2m}}{(2m)!dx^{2m}}$”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020), 78–81 ; Dokl. Math., 101:2 (2020), 144–146 |
9. |
M. V. Platonova, S. V. Tsykin, “Probabilistic approximation of the solution of the Cauchy problem
for the higher-order Schrödinger equation”, Teor. Veroyatnost. i Primenen., 65:4 (2020), 710–724 ; Theory Probab. Appl., 65:4 (2021), 558–569 |
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2019 |
10. |
M. V. Platonova, K. S. Ryadovkin, “Branching random walks on $\mathbf{Z}^d$ with periodic branching sources”, Teor. Veroyatnost. i Primenen., 64:2 (2019), 283–307 ; Theory Probab. Appl., 64:2 (2019), 229–248 |
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11. |
M. V. Platonova, S. V. Tsykin, “On a limit theorem related to a Cauchy problem solution for the Schrödinger equation with a fractional derivative operator of the order $\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$”, Zap. Nauchn. Sem. POMI, 486 (2019), 254–264 |
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12. |
M. V. Platonova, K. S. Ryadovkin, “On the variance of the particle number of the supercritical branching random walk on periodic graphs”, Zap. Nauchn. Sem. POMI, 486 (2019), 233–253 |
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13. |
A. K. Nikolaev, M. V. Platonova, “Limit theorems on convergence to generalized Cauchy type processes”, Zap. Nauchn. Sem. POMI, 486 (2019), 214–228 |
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2018 |
14. |
M. V. Platonova, S. V. Tsykin, “Probabilistic approach to Cauchy problem solution for the Schrödinger equation with a fractional derivative of order $\alpha\in\bigcup\limits_{m=3}^{\infty}(m-1, m)$”, Zap. Nauchn. Sem. POMI, 474 (2018), 199–212 |
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15. |
A. K. Nikolaev, M. V. Platonova, “Nonprobabilistic analogues of the Cauchy process”, Zap. Nauchn. Sem. POMI, 474 (2018), 183–194 |
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2017 |
16. |
M. V. Platonova, S. V. Tsykin, “A probabilistic approximation of the Cauchy problem solution for the Schrödinger equation with a fractional derivative operator”, Zap. Nauchn. Sem. POMI, 466 (2017), 257–272 |
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17. |
M. V. Platonova, K. S. Ryadovkin, “Asymptotic behavior of the mean number of particles of branching random walk on $\mathbf Z^d$ with periodic sources of branching”, Zap. Nauchn. Sem. POMI, 466 (2017), 234–256 |
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2016 |
18. |
M. V. Platonova, “Probabilistic representation for Cauchy problem solution for evolution equation with Riemann–Liouville operator”, Teor. Veroyatnost. i Primenen., 61:3 (2016), 417–438 ; Theory Probab. Appl., 61:3 (2017), 389–407 |
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19. |
M. V. Platonova, “A probabilistic representation of the Cauchy problem solution for an evolution equation with the differential operator of the order greater than 2”, Zap. Nauchn. Sem. POMI, 454 (2016), 220–237 ; J. Math. Sci. (N. Y.), 229:6 (2018), 744–755 |
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2015 |
20. |
M. V. Platonova, “Symmetric $\alpha$-stable distributions for noninteger $\alpha>2$ and related stochastic processes”, Zap. Nauchn. Sem. POMI, 442 (2015), 101–117 ; J. Math. Sci. (N. Y.), 225:5 (2017), 791–801 |
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2014 |
21. |
M. V. Platonova, “Nonprobabilistic infinitely divisible distributions: the Lévy–Khinchin representation, limit theorems”, Zap. Nauchn. Sem. POMI, 431 (2014), 145–177 ; J. Math. Sci. (N. Y.), 214:4 (2016), 517–539 |
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Presentations in Math-Net.Ru |
1. |
О вероятностной аппроксимации одной группы унитарных операторов M. V. Platonova
Seminar on Probability Theory and Mathematical Statistics March 10, 2023 18:00
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2. |
Вероятностная аппроксимация эволюционного оператора $e^{itH}$, где $H=\frac{(-1)^{m+1}}{(2m)!}\,\frac{ d^{2m}}{dx^{2m}}+V$ M. V. Platonova
November 7, 2022 17:40
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3. |
Probabilistic approximation of evolution operators related to higher order Schrödinger equations M. Platonova
International Conference "Branching Processes, Random Walks and Probability on Discrete Structures" June 24, 2022 10:30
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4. |
О ветвящихся случайных блужданиях. M. V. Platonova
Meetings of the St. Petersburg Mathematical Society December 10, 2019 18:00
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5. |
Суперпроцессы (окончание) M. V. Platonova
Seminar on Probability Theory and Mathematical Statistics April 27, 2018 18:00
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6. |
Суперпроцессы M. V. Platonova
Seminar on Probability Theory and Mathematical Statistics April 20, 2018 18:00
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7. |
On a mean number of particles for a branching random walk on a lattice with periodic branching sources M. V. Platonova
Principle Seminar of the Department of Probability Theory, Moscow State University February 28, 2018
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8. |
Асимптотика среднего числа частиц ветвящегося случайного блуждания на решетке $\mathbf{Z}^d$
с периодическими источниками ветвления M. V. Platonova,
Seminar on Probability Theory and Mathematical Statistics October 6, 2017 18:00
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9. |
Аппроксимация решения задачи Коши для эволюционных уравнений с
оператором Римана-Лиувилля математическими ожиданиями функционалов от
стохастических процессов M. V. Platonova
Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS January 26, 2017 11:00
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10. |
Вероятностное представление решения задачи Коши для эволюционного уравнения с оператором дифференцирования высокого порядка M. V. Platonova
Traditional winter session MIAN–POMI devoted to the topic "Probability theory" December 13, 2016 16:00
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11. |
Вероятностное представление решения задачи Коши для эволюционного
уравнения с оператором дифференцирования порядка больше 2 M. V. Platonova
Seminar on Probability Theory and Mathematical Statistics May 20, 2016 18:00
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12. |
Вероятностное представление решения задачи Коши для эволюционного уравнения с оператором Римана-Лиувилля в правой части M. V. Platonova
Seminar on Probability Theory and Mathematical Statistics October 23, 2015 18:00
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13. |
Невероятностные безгранично делимые распределения: представление Леви–Хинчина, предельные теоремы M. V. Platonova
Seminar of Chebyshev Laboratory on Probability Theory January 28, 2015 12:00
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