Tsykin Sergei Victorovich

Publications in Math-Net.Ru

1. 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
2. Probabilistic approximation of the solution of the Cauchy problem for the higher-order Schrödinger equation
   
   Teor. Veroyatnost. i Primenen., 65:4 (2020),  710–724
3. 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
4. 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
5. 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
6. On the approximation of the solutions of some evolution equations by the expectations of functionals of random walks
   
   Zap. Nauchn. Sem. POMI, 431 (2014),  242–252