V. N. Kolokoltsov, M. S. Troeva, “Fractional Kinetic Equations”, Mat. Zametki, 112:4 (2022), 567–585; Math. Notes, 112:4 (2022), 561–575
2021
2.
Vassili N. Kolokoltsov, “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; Trans. Moscow Math. Soc., 82 (2021), 77–87
3.
V. N. Kolokoltsov, M. S. Troeva, “Fractional McKean–Vlasov and Hamilton–Jacobi–Bellman–Isaacs Equations”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:3 (2021), 87–100; Proc. Steklov Inst. Math. (Suppl.), 315, suppl. 1 (2021), S165–S177
4.
V. N. Kolokoltsov, M. S. Troeva, “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; Proc. Steklov Inst. Math., 315 (2021), 118–139
5.
V. N. Kolokoltsov, “The law of large numbers for quantum stochastic filtering and control of many-particle systems”, TMF, 208:1 (2021), 97–121; Theoret. and Math. Phys., 208:1 (2021), 937–957
V. N. Kolokoltsov, M. S. Troeva, “Regularity and sensitivity for McKean–Vlasov type SPDEs generated by stable-like processes”, Probl. Anal. Issues Anal., 7(25):2 (2018), 69–81
Vassili N. Kolokoltsov, Marianna S. Troeva, Wei Yang, “Mean field games based on the stable-like processes”, Mat. Teor. Igr Pril., 5:4 (2013), 33–65; Autom. Remote Control, 77:11 (2016), 2044–2064
T. T. Basiev, A. Ya. Karasik, V. V. Osiko, A. G. Papashvili, D. S. Chunaev, A. V. Gavrilov, M. N. Ershkov, S. N. Smetanin, S. A. Solokhin, A. V. Fedin, V. N. Kolokol'tsev, V. M. Lazorenko, V. I. Tovtin, “Technologies of perforation of closely spaced micron holes with the help of neodymium—LiF:F<sub>2</sub><sup>-</sup> lasers”, Kvantovaya Elektronika, 39:4 (2009), 385–387 [Quantum Electron., 39:4 (2009), 385–387]
V. N. Kolokoltsov, “Generalized Continuous-Time Random Walks, Subordination by Hitting Times, and Fractional Dynamics”, Teor. Veroyatnost. i Primenen., 53:4 (2008), 684–703; Theory Probab. Appl., 53:4 (2009), 594–609
V. N. Kolokoltsov, “Schrödinger operators with singular potentials and magnetic fields”, Mat. Sb., 194:6 (2003), 105–126; Sb. Math., 194:6 (2003), 897–917
V. N. Kolokoltsov, “Idempotent structures in optimization”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 65 (1999), 118–174; J. Math. Sci. (New York), 104:1 (2001), 847–880
S. Yu. Dobrokhotov, V. N. Kolokoltsov, V. Martines Olive, “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; Math. Notes, 58:2 (1995), 880–884
V. N. Kolokoltsov, “Estimates of accuracy for the asymptotics of the Laplace integral”, Trudy Mat. Inst. Steklov., 203 (1994), 113–115; Proc. Steklov Inst. Math., 203 (1995), 101–103
1993
16.
V. N. Kolokol'tsev, “On the asymptotics of low eigenvalues and eigenfunctions of the Schrödinger operator”, Dokl. Akad. Nauk, 328:6 (1993), 649–653
17.
S. Yu. Dobrokhotov, V. N. Kolokoltsov, “Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential”, TMF, 94:3 (1993), 426–434; Theoret. and Math. Phys., 94:3 (1993), 300–305
V. N. Kolokoltsov, V. P. Maslov, “The Bellman differential equation and the Pontryagin maximum
principle for multicriterial optimization problems”, Dokl. Akad. Nauk, 324:1 (1992), 29–34; Dokl. Math., 45:3 (1992), 522–527
19.
V. N. Kolokoltsov, “The stochastic Bellman equation as a nonlinear equation in Maslov
spaces. Perturbation theory”, Dokl. Akad. Nauk, 323:2 (1992), 223–228; Dokl. Math., 45:2 (1992), 294–300
1991
20.
V. N. Kolokoltsov, “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; Dokl. Math., 44:2 (1992), 624–629
21.
V. N. Kolokoltsov, “Application of quasi-classical methods in a study of the Belavkin quantum filtration”, Mat. Zametki, 50:5 (1991), 153–156; Math. Notes, 50:5 (1991), 1204–1206
V. P. Belavkin, V. N. Kolokoltsov, “Semiclassical asymptotics of quantum stochastic equations”, TMF, 89:2 (1991), 163–177; Theoret. and Math. Phys., 89:2 (1991), 1127–1138
S. Yu. Dobrokhotov, V. N. Kolokoltsov, V. P. Maslov, “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; Theoret. and Math. Phys., 87:3 (1991), 561–599
V. N. Kolokoltsov, V. P. Maslov, “Idempotent analysis as a tool of control theory and optimal synthesis. 2”, Funktsional. Anal. i Prilozhen., 23:4 (1989), 53–62; Funct. Anal. Appl., 23:4 (1989), 300–307
V. N. Kolokoltsov, V. P. Maslov, “Idempotent analysis as a tool of control theory and optimal synthesis. I”, Funktsional. Anal. i Prilozhen., 23:1 (1989), 1–14; Funct. Anal. Appl., 23:1 (1989), 1–11
V. N. Kolokoltsov, D. R. Lebedev, “An infinite series of local conservation laws of Miura type for higher Benney equations”, Uspekhi Mat. Nauk, 43:4(262) (1988), 193–194; Russian Math. Surveys, 43:4 (1988), 211–212
1987
29.
V. N. Kolokoltsov, V. P. Maslov, “The Cauchy problem for the homogeneous Bellman equation”, Dokl. Akad. Nauk SSSR, 296:4 (1987), 796–800; Dokl. Math., 36:2 (1988), 326–330
V. N. Kolokoltsov, V. P. Maslov, “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; Dokl. Math., 36:1 (1988), 55–59
V. N. Kolokoltsov, “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; Math. USSR-Izv., 21:2 (1983), 291–306
O. N. Ageev, Ya. B. Vorobets, B. Weiss, R. I. Grigorchuk, V. Z. Grines, B. M. Gurevich, L. S. Efremova, A. Yu. Zhirov, E. V. Zhuzhoma, B. S. Kashin, V. N. Kolokoltsov, A. V. Kochergin, L. M. Lerman, I. V. Mykytyuk, V. I. Oseledets, A. Yu. Plakhov, O. V. Pochinka, V. V. Ryzhikov, V. Zh. Sakbaev, A. G. Sergeev, Ya. G. Sinai, A. T. Tagi-Zade, S. V. Tikhonov, J.-P. Thouvenot, A. Ya. Helemskii, A. I. Shafarevich, “Anatolii Mikhailovich Stepin (obituary)”, Uspekhi Mat. Nauk, 77:2(464) (2022), 189–194; Russian Math. Surveys, 77:2 (2022), 361–367