Platonova Mariya V

Publications in Math-Net.Ru

1. On a probabilistic approach to the Cauchy problem solution for an evolution equation with a higher even-order differential operator and a variable coefficient
   
   Zap. Nauchn. Sem. POMI, 544 (2025),  262–273
2. Branching diffusion processes in periodic media
   
   Zap. Nauchn. Sem. POMI, 535 (2024),  214–236
3. A probabilistic approximation of the Cauchy problem solution for a certain class of evolution equations
   
   Zap. Nauchn. Sem. POMI, 535 (2024),  200–213
4. 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
5. Probabilistic approximation of the Schrödinger equation by complex-valued random processes
   
   Zap. Nauchn. Sem. POMI, 526 (2023),  17–28
6. An analogue of the Feynman–Kac formula for the multidimensional Shrödinger equation
   
   Zap. Nauchn. Sem. POMI, 525 (2023),  96–108
7. Prospects for anisotropic superfluidity in a Fermi gas of dysprosium
   
   Kvantovaya Elektronika, 52:6 (2022),  528–531
8. An analogue of the Feynman–Kac formula for a high-order operator
   
   Teor. Veroyatnost. i Primenen., 67:1 (2022),  81–99
9. On a probabilistic approximation of a group of unitary operators
   
   Zap. Nauchn. Sem. POMI, 510 (2022),  211–224
10. Asymptotic behaviour of some branching random walk functionals mean values
    
    Zap. Nauchn. Sem. POMI, 505 (2021),  185–206
11. 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
12. Probabilistic approximation of the solution of the Cauchy problem for the higher-order Schrödinger equation
    
    Teor. Veroyatnost. i Primenen., 65:4 (2020),  710–724
13. Branching random walks on $\mathbf{Z}^d$ with periodic branching sources
    
    Teor. Veroyatnost. i Primenen., 64:2 (2019),  283–307
14. 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
15. On the variance of the particle number of the supercritical branching random walk on periodic graphs
    
    Zap. Nauchn. Sem. POMI, 486 (2019),  233–253
16. Limit theorems on convergence to generalized Cauchy type processes
    
    Zap. Nauchn. Sem. POMI, 486 (2019),  214–228
17. 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
18. Nonprobabilistic analogues of the Cauchy process
    
    Zap. Nauchn. Sem. POMI, 474 (2018),  183–194
19. 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
20. 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
21. Probabilistic representation for Cauchy problem solution for evolution equation with Riemann–Liouville operator
    
    Teor. Veroyatnost. i Primenen., 61:3 (2016),  417–438
22. 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
23. Symmetric $\alpha$-stable distributions for noninteger $\alpha>2$ and related stochastic processes
    
    Zap. Nauchn. Sem. POMI, 442 (2015),  101–117
24. Nonprobabilistic infinitely divisible distributions: the Lévy–Khinchin representation, limit theorems
    
    Zap. Nauchn. Sem. POMI, 431 (2014),  145–177