# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 34 Publications since 1987
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#### Co-Authors

 5 single-authored 24 Smorodina, Natal’ya Vasil’evna 17 Ibragimov, Il’dar Abdullovich 2 Kiselev, Alexander V. 2 Shterenberg, Roman G. 1 Albeverio, Sergio A. 1 Naboko, Serguei N.
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#### Serials

 9 Journal of Mathematical Sciences (New York) 7 Theory of Probability and its Applications 4 Functional Analysis and its Applications 2 Mathematical Notes 2 Doklady Mathematics 2 Markov Processes and Related Fields 1 Acta Applicandae Mathematicae 1 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 1 Stochastic Processes and their Applications 1 Vestnik Leningrad University. Mathematics 1 Vestnik St. Petersburg University. Mathematics 1 Theory of Stochastic Processes 1 Global and Stochastic Analysis 1 Vestnik Leningradskogo Universiteta. Seriya 4. Fizika, Khimiya
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#### Fields

 20 Probability theory and stochastic processes (60-XX) 15 Partial differential equations (35-XX) 12 Operator theory (47-XX) 4 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

23 Publications have been cited 57 times in 36 Documents Cited by Year
The Lévy-Khinchin representation of the one class of signed stable measures and some its applications. Zbl 1203.28014
Smorodina, N. V.; Faddeev, M. M.
2010
On the similarity of some differential operators to self-adjoint ones. Zbl 1048.47031
Faddeev, M. M.; Shterenberg, R. G.
2002
A complex analogue of the central limit theorem and a probabilistic approximation of the Feynman integral. Zbl 1321.60040
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2014
Probabilistic approximation of solutions of the Cauchy problem for some evolution equations. Zbl 1279.60085
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2013
A limit theorem on the convergence of random walk functionals to a solution of the Cauchy problem for the equation $$\frac{\partial u}{\partial t}=\frac{\sigma^2}{2}\Delta u$$ with complex $$\sigma$$. Zbl 1376.60061
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2015
The probabilistic representation of the exponent of a class of pseudo-differential operators. Zbl 1296.28016
Albeverio, S.; Smorodina, N.; Faddeev, M.
2011
Initial boundary value problems in a bounded domain: probabilistic representations of solutions and limit theorems. II. Zbl 1406.35090
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2018
On a limit theorem related to probabilistic representation of solution to the Cauchy problem for the Schrödinger equation. Zbl 1386.60087
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2018
Initial boundary value problems in a bounded domain: probabilistic representations of solutions and limit theorems. I. Zbl 06823440
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M
2017
A stochastic interpretation of the Cauchy problem solution for the equation $$\partial_tu=(\sigma^2/2)\Delta u+V(x)u$$ with complex $$\sigma$$. Zbl 1366.60089
Faddeev, M. M.; Ibragimov, I. A.; Smorodina, N. V.
2016
Limit theorems for symmetric random walks and probabilistic approximation of the Cauchy problem solution for Schrödinger type evolution equations. Zbl 1336.60132
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2015
The probabilistic approximation of the Dirichlet initial boundary value problem solution for the equation $$\partial u/\partial t=(\sigma^2/2) \Delta u$$ with a complex parameter $$\sigma$$. Zbl 1398.60078
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2014
Probabilistic representation of solutions for a class of evolution equations. Zbl 1290.60067
Smorodina, N. V.; Faddeev, M. M.
2011
Similarity of some singular operators to self-adjoint ones. Zbl 1025.47028
Faddeev, M. M.; Shterenberg, R. G.
2000
Probabilistic approximation of the evolution operator. Zbl 06951618
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2018
On a probabilistic method of solving a one-dimensional initial-boundary value problem. Zbl 1318.60071
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2014
Theorems on convergence of stochastic integrals distributions to signed measures and local limit theorems for large deviations. Zbl 1288.60043
Smorodina, N. V.; Faddeev, M. M.
2010
Convergence of independent random variable sum distributions to signed measures and applications to the large deviations problem. Zbl 1224.28032
Smorodina, N. V.; Faddeev, M. M.
2010
The Lévy-Khinchin representation of a class of stable signed measures. Zbl 1181.60020
Smorodina, N. V.; Faddeev, M. M.
2009
The similarity problem for non-self-adjoint operators with absolutely continuous spectrum. Zbl 0985.47017
Kiselev, A. V.; Faddeev, M. M.
2000
Operators of the Friedrichs model that are similar to a selfadjoint operator. Zbl 1268.47023
Naboko, S. N.; Faddeev, M. M.
1990
Similarity of an operator to an isometric operator. Zbl 0708.47016
1989
On contraction operators similar to isometric ones. Zbl 0648.47009
1987
Initial boundary value problems in a bounded domain: probabilistic representations of solutions and limit theorems. II. Zbl 1406.35090
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2018
On a limit theorem related to probabilistic representation of solution to the Cauchy problem for the Schrödinger equation. Zbl 1386.60087
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2018
Probabilistic approximation of the evolution operator. Zbl 06951618
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2018
Initial boundary value problems in a bounded domain: probabilistic representations of solutions and limit theorems. I. Zbl 06823440
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M
2017
A stochastic interpretation of the Cauchy problem solution for the equation $$\partial_tu=(\sigma^2/2)\Delta u+V(x)u$$ with complex $$\sigma$$. Zbl 1366.60089
Faddeev, M. M.; Ibragimov, I. A.; Smorodina, N. V.
2016
A limit theorem on the convergence of random walk functionals to a solution of the Cauchy problem for the equation $$\frac{\partial u}{\partial t}=\frac{\sigma^2}{2}\Delta u$$ with complex $$\sigma$$. Zbl 1376.60061
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2015
Limit theorems for symmetric random walks and probabilistic approximation of the Cauchy problem solution for Schrödinger type evolution equations. Zbl 1336.60132
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2015
A complex analogue of the central limit theorem and a probabilistic approximation of the Feynman integral. Zbl 1321.60040
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2014
The probabilistic approximation of the Dirichlet initial boundary value problem solution for the equation $$\partial u/\partial t=(\sigma^2/2) \Delta u$$ with a complex parameter $$\sigma$$. Zbl 1398.60078
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2014
On a probabilistic method of solving a one-dimensional initial-boundary value problem. Zbl 1318.60071
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2014
Probabilistic approximation of solutions of the Cauchy problem for some evolution equations. Zbl 1279.60085
Ibragimov, I. A.; Smorodina, N. V.; Faddeev, M. M.
2013
The probabilistic representation of the exponent of a class of pseudo-differential operators. Zbl 1296.28016
Albeverio, S.; Smorodina, N.; Faddeev, M.
2011
Probabilistic representation of solutions for a class of evolution equations. Zbl 1290.60067
Smorodina, N. V.; Faddeev, M. M.
2011
The Lévy-Khinchin representation of the one class of signed stable measures and some its applications. Zbl 1203.28014
Smorodina, N. V.; Faddeev, M. M.
2010
Theorems on convergence of stochastic integrals distributions to signed measures and local limit theorems for large deviations. Zbl 1288.60043
Smorodina, N. V.; Faddeev, M. M.
2010
Convergence of independent random variable sum distributions to signed measures and applications to the large deviations problem. Zbl 1224.28032
Smorodina, N. V.; Faddeev, M. M.
2010
The Lévy-Khinchin representation of a class of stable signed measures. Zbl 1181.60020
Smorodina, N. V.; Faddeev, M. M.
2009
On the similarity of some differential operators to self-adjoint ones. Zbl 1048.47031
Faddeev, M. M.; Shterenberg, R. G.
2002
Similarity of some singular operators to self-adjoint ones. Zbl 1025.47028
Faddeev, M. M.; Shterenberg, R. G.
2000
The similarity problem for non-self-adjoint operators with absolutely continuous spectrum. Zbl 0985.47017
Kiselev, A. V.; Faddeev, M. M.
2000
Operators of the Friedrichs model that are similar to a selfadjoint operator. Zbl 1268.47023
Naboko, S. N.; Faddeev, M. M.
1990
Similarity of an operator to an isometric operator. Zbl 0708.47016
1989
On contraction operators similar to isometric ones. Zbl 0648.47009
1987
all top 5

#### Cited by 27 Authors

 14 Faddeev, Mikhaĭl Mikhaĭlovich 13 Smorodina, Natal’ya Vasil’evna 11 Ibragimov, Il’dar Abdullovich 4 Platonova, Mariya V. 3 Gil’, Michael Iosif 3 Kostenko, Aleksey S. 3 Mazzucchi, Sonia 2 Krejčiřík, David 2 Orsingher, Enzo 2 Siegl, Petr 2 Yakubovich, Dmitry V. 1 Albeverio, Sergio A. 1 Bonaccorsi, Stefano 1 Calcaterra, Craig 1 De Gregorio, Alessandro 1 Dritschel, Michael A. 1 Estévez, Daniel 1 Hussein, Amru 1 Ievlev, P. N. 1 Karabash, Illya M. 1 Kozachenko, Yuriĭ Vasyl’ovych 1 Lachal, Aimé 1 Malamud, Mark M. 1 Sakhno, Lyudmyla Mykhaĭlivna 1 Tsykin, Sergei V. 1 Vasylyk, Ol’ga I. 1 Železný, Jakub
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#### Cited in 18 Serials

 10 Journal of Mathematical Sciences (New York) 6 Theory of Probability and its Applications 3 Stochastic Processes and their Applications 2 Functional Analysis and its Applications 2 Journal of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Mathematical Notes 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 St. Petersburg Mathematical Journal 1 Doklady Mathematics 1 Complex Analysis and Operator Theory 1 Analysis and Mathematical Physics 1 International Journal of Partial Differential Equations
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#### Cited in 12 Fields

 19 Probability theory and stochastic processes (60-XX) 16 Partial differential equations (35-XX) 12 Operator theory (47-XX) 5 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Quantum theory (81-XX)