Kolokoltsov Vassili Nikitich

Publications in Math-Net.Ru

1. Fractional Kinetic Equations
   
   Mat. Zametki, 112:4 (2022),  567–585
2. On a probabilistic derivation of the basic particle statistics (Bose–Einstein, Fermi–Dirac, canonical, grand-canonical, intermediate) and related distributions
   
   Tr. Mosk. Mat. Obs., 82:1 (2021),  93–104
3. Fractional McKean–Vlasov and Hamilton–Jacobi–Bellman–Isaacs Equations
   
   Trudy Inst. Mat. i Mekh. UrO RAN, 27:3 (2021),  87–100
4. Abstract McKean–Vlasov and Hamilton–Jacobi–Bellman Equations, Their Fractional Versions and Related Forward–Backward Systems on Riemannian Manifolds
   
   Trudy Mat. Inst. Steklova, 315 (2021),  128–150
5. The law of large numbers for quantum stochastic filtering and control of many-particle systems
   
   TMF, 208:1 (2021),  97–121
6. Mixed Fractional Differential Equations and Generalized Operator-Valued Mittag-Leffler Functions
   
   Mat. Zametki, 106:5 (2019),  687–707
7. Regularity and sensitivity for McKean–Vlasov type SPDEs generated by stable-like processes
   
   Probl. Anal. Issues Anal., 7(25):2 (2018),  69–81
8. Mean field games based on the stable-like processes
   
   Mat. Teor. Igr Pril., 5:4 (2013),  33–65
9. Stochastic Monotonicity and Duality for One-Dimensional Markov Processes
   
   Mat. Zametki, 89:5 (2011),  694–704
10. Technologies of perforation of closely spaced micron holes with the help of neodymium—LiF:F₂^- lasers
    
    Kvantovaya Elektronika, 39:4 (2009),  385–387
11. Generalized Continuous-Time Random Walks, Subordination by Hitting Times, and Fractional Dynamics
    
    Teor. Veroyatnost. i Primenen., 53:4 (2008),  684–703
12. Schrödinger operators with singular potentials and magnetic fields
    
    Mat. Sb., 194:6 (2003),  105–126
13. Idempotent structures in optimization
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 65 (1999),  118–174
14. Asymptotically stable invariant tori of a vector field $V(x)$ and the quasimodes of the operator $V(x)\cdot\nabla-\varepsilon\Delta$
    
    Mat. Zametki, 58:2 (1995),  301–306
15. Estimates of accuracy for the asymptotics of the Laplace integral
    
    Trudy Mat. Inst. Steklov., 203 (1994),  113–115
16. On the asymptotics of low eigenvalues and eigenfunctions of the Schrödinger operator
    
    Dokl. Akad. Nauk, 328:6 (1993),  649–653
17. Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential
    
    TMF, 94:3 (1993),  426–434
18. The Bellman differential equation and the Pontryagin maximum principle for multicriterial optimization problems
    
    Dokl. Akad. Nauk, 324:1 (1992),  29–34
19. The stochastic Bellman equation as a nonlinear equation in Maslov spaces. Perturbation theory
    
    Dokl. Akad. Nauk, 323:2 (1992),  223–228
20. Introduction of a new Maslov-type currency (coupons) as a means for solving the market game under nonequilibrium prices
    
    Dokl. Akad. Nauk SSSR, 320:6 (1991),  1310–1314
21. Application of quasi-classical methods in a study of the Belavkin quantum filtration
    
    Mat. Zametki, 50:5 (1991),  153–156
22. Semiclassical asymptotics of quantum stochastic equations
    
    TMF, 89:2 (1991),  163–177
23. Splitting of the lowest energy levels of the Schrödinger equation and asymptotic behavior of the fundamental solution of the equation $hu_t=h^2\Delta u/2-V(x)u$
    
    TMF, 87:3 (1991),  323–375
24. The Maslov index in infinite-dimensional symplectic geometry
    
    Mat. Zametki, 48:6 (1990),  142–145
25. Idempotent analysis as a tool of control theory and optimal synthesis. 2
    
    Funktsional. Anal. i Prilozhen., 23:4 (1989),  53–62
26. Idempotent analysis as a tool of control theory and optimal synthesis. I
    
    Funktsional. Anal. i Prilozhen., 23:1 (1989),  1–14
27. Turnpikes and infinite extremals in Markov decision processes
    
    Mat. Zametki, 46:4 (1989),  118–120
28. An infinite series of local conservation laws of Miura type for higher Benney equations
    
    Uspekhi Mat. Nauk, 43:4(262) (1988),  193–194
29. The Cauchy problem for the homogeneous Bellman equation
    
    Dokl. Akad. Nauk SSSR, 296:4 (1987),  796–800
30. General form of endomorphisms in the space of continuous functions with values in a numerical commutative semiring (with the operation $\oplus=\max$)
    
    Dokl. Akad. Nauk SSSR, 295:2 (1987),  283–287
31. New examples of manifolds with closed geodesics
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 4,  80–82
32. Geodesic flows on two-dimensional manifolds with an additional first integral that is polynomial in the velocities
    
    Izv. Akad. Nauk SSSR Ser. Mat., 46:5 (1982),  994–1010


33. Anatolii Mikhailovich Stepin (obituary)
    
    Uspekhi Mat. Nauk, 77:2(464) (2022),  189–194