Edit Profile Kolokoltsov, Vassili N. Compute Distance To: Compute Author ID: kolokoltsov.vassili-n Published as: Kolokol’tsov, V. N.; Kolokol’tsov, Vassili N.; Kolokol’tsov, Vassiliĭ N.; Kolokoltsov, V.; Kolokoltsov, V. N.; Kolokoltsov, Vassili; Kolokoltsov, Vassili N.; Kolokoltsov, Vassily; Kolokoltsov, Vassily N. Documents Indexed: 118 Publications since 1982, including 11 Books all top 5 Co-Authors 52 single-authored 11 Maslov, Viktor Pavlovich 7 Albeverio, Sergio A. 6 Dobrokhotov, Sergei Yurievich 5 Hilbert, Astrid 5 Malafeev, Oleg Alekseivich 4 Korolev, Viktor Yur’evich 4 Troeva, Marianna S. 3 Akian, Marianne 3 Bening, Vladimir E. 3 Binner, Jane M. 3 Ciardiello, Francesco 3 Fletcher, Leslie R. 3 Gaubert, Stéphane 3 Tyukov, Alexey E. 3 Uchaĭkin, Vladimir Vasil’evich 3 Veretennikova, Maria A. 2 Belavkin, Viacheslav 2 Hernández-Hernández, Ma. Elena 2 Saenko, Viacheslav V. 2 Schilling, René Leander 2 Smolyanov, Oleg Georgievich 2 Tyukov, Alexei E. 2 Yang, Wei 1 Aubin, Jean-Pierre 1 Ball, Robin C. 1 Basna, Rani 1 Bensoussan, Alain 1 Bernhard, Pierre 1 Cecchin, Alekos 1 Engwerda, Jacob Christiaan 1 Gorban, Alexander N. 1 Gusarov, G. G. 1 Hucki, Z. 1 Katsikas, Stamatios 1 Lebedev, Dimitri R. 1 Lee, Rui Xin 1 Lin, Feng 1 MacKay, Robert Sinclair 1 Makarov, Konstantin A. 1 Martines Olive, Victor 1 Mijatović, Aleksandar 1 Olivé, Victor M. 1 Roorda, Berend 1 Saint-Pierre, Patrick 1 Schumacher, Johannes M. 1 Sukhorukova, T. A. 1 Toniazzi, Lorenzo 1 Yang, Wei 1 Yang, Wei 1 Zolotarëv, Vladimir Mikhaĭlovich all top 5 Serials 4 Mathematical Notes 4 Stochastics and Stochastics Reports 4 Journal of Mathematical Sciences (New York) 4 Fractional Calculus & Applied Analysis 3 Soviet Mathematics. Doklady 3 Probability Theory and Related Fields 3 Russian Academy of Sciences. Doklady. Mathematics 3 Dynamic Games and Applications 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Matematicheskie Zametki 2 Theoretical and Mathematical Physics 2 Reviews in Mathematical Physics 2 Applied Mathematics and Optimization 2 Functional Analysis and its Applications 2 Stochastic Analysis and Applications 2 Russian Journal of Mathematical Physics 2 Electronic Journal of Probability 2 Markov Processes and Related Fields 2 International Game Theory Review 2 Stochastics 2 Games 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Moscow University Mathematics Bulletin 1 Russian Mathematical Surveys 1 Chaos, Solitons and Fractals 1 Theory of Probability and its Applications 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 International Journal of Game Theory 1 Journal of Applied Probability 1 Kybernetika 1 Mathematics of Operations Research 1 Mathematics of the USSR. Izvestiya 1 Proceedings of the London Mathematical Society. Third Series 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Revista Matemática Iberoamericana 1 Journal of Theoretical Probability 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Stochastic Processes and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Potential Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Filomat 1 Sbornik: Mathematics 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Dynamical and Control Systems 1 Methodology and Computing in Applied Probability 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Advanced Studies in Contemporary Mathematics (Kyungshang) 1 Cambridge Tracts in Mathematics 1 De Gruyter Studies in Mathematics 1 Lecture Notes in Mathematics 1 London Mathematical Society Lecture Note Series 1 Mathematical Modelling of Natural Phenomena 1 Risk and Decision Analysis 1 Matematicheskaya Teoriya Igr i eë Prilozheniya 1 Communications in Applied and Industrial Mathematics 1 Fractional Differential Calculus 1 Problemy Analiza. Issues of Analysis 1 Journal of Applied Nonlinear Dynamics 1 Springer Series in Operations Research and Financial Engineering 1 Static & Dynamic Game Theory: Foundations & Applications 1 Birkhäuser Advanced Texts. Basler Lehrbücher all top 5 Fields 55 Probability theory and stochastic processes (60-XX) 32 Partial differential equations (35-XX) 28 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 21 Quantum theory (81-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Operations research, mathematical programming (90-XX) 10 Operator theory (47-XX) 8 Ordinary differential equations (34-XX) 6 Real functions (26-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Systems theory; control (93-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Differential geometry (53-XX) 5 Mechanics of particles and systems (70-XX) 4 Functional analysis (46-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 87 Publications have been cited 751 times in 564 Documents Cited by ▼ Year ▼ Idempotent analysis and its applications. Appendix by Pierre Del Moral. Transl. from the Russian by V. E. Nazaikinskij. Zbl 0941.93001Kolokoltsov, V. N.; Maslov, V. P. 110 1997 Symmetric stable laws and stable-like jump-diffusions. Zbl 1021.60011Kolokoltsov, Vassili 91 2000 Markov processes, semigroups and generators. Zbl 1220.60003Kolokoltsov, Vassili N. 56 2011 Nonlinear Markov processes and kinetic equations. Zbl 1222.60003Kolokoltsov, Vassili N. 54 2010 Semiclassical analysis for diffusions and stochastic processes. Zbl 0951.60001Kolokoltsov, V. N. 30 2000 Generalized continuous-time random walks, subordination by hitting times, and fractional dynamics. Zbl 1193.60046Kolokoltsov, V. N. 28 2009 Geodesic flows on two-dimensional manifolds with an additional first integral that is polynomial in the velocities. Zbl 0548.58028Kolokol’tsov, V. N. 17 1983 Nonexpansive maps and option pricing theory. Zbl 1274.91420Kolokoltsov, Vassili N. 14 1998 Idempotent analysis as a tool of control theory and optimal synthesis. I. Zbl 0709.49014Kolokol’tsov, V. N.; Maslov, V. P. 14 1989 On the rate of convergence for the mean-field approximation of controlled diffusions with large number of players. Zbl 1314.91020Kolokoltsov, Vassili N.; Troeva, Marianna; Yang, Wei 13 2014 Turnpike theorems for Markov games. Zbl 1272.91027Kolokoltsov, Vassili; Yang, Wei 11 2012 Set coverings and invertibility of functional Galois connections. Zbl 1080.06001Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili 11 2005 Splitting of the lowest energy levels of the Schrödinger equation and asymptotic behavior of the fundamental solution of the equation \(hu_ t=h^ 2\Delta u/2-V(x)u\). Zbl 0745.35033Dobrokhotov, S. Yu.; Kolokol’tsov, V. N.; Maslov, V. P. 11 1991 Geodesic flows on two-dimensional manifolds with according to the velocities complementary polynomial first integral. Zbl 0518.58033Kolokol’tsov, V. N. 11 1982 On fully mixed and multidimensional extensions of the Caputo and Riemann-Liouville derivatives, related Markov processes and fractional differential equations. Zbl 1321.26013Kolokoltsov, Vassili 10 2015 Asymptotic spectral analysis of a small diffusion operator and the life times of the corresponding diffusion process. Zbl 0912.58042Kolokol’tsov, Vassili N.; Makarov, Konstantin A. 10 1996 Scattering theory for the Belavkin equation describing a quantum particle with continuously observed coordinate. Zbl 0845.35078Kolokol’tsov, Vassili N. 10 1995 On linear, additive, and homogeneous operators in idempotent analysis. Zbl 0925.47016Kolokoltsov, V. N. 10 1992 Generalised fractional evolution equations of Caputo type. Zbl 1374.34009Hernández-Hernández, M. E.; Kolokoltsov, V. N.; Toniazzi, L. 9 2017 Mean-field-game model of corruption. Zbl 1391.91030Kolokoltsov, V. N.; Malafeyev, O. A. 9 2017 On Markov processes with decomposable pseudo-differential generators. Zbl 1091.60014Kolokoltsov, Vassili N. 9 2004 On mean field games with common noise and McKean-Vlasov SPDEs. Zbl 1415.60075Kolokoltsov, Vassili N.; Troeva, Marianna 8 2019 Well-posedness and regularity of the Cauchy problem for nonlinear fractional in time and space equations. Zbl 1412.35370Kolokoltsov, V. N.; Veretennikova, M. A. 8 2014 A fractional Hamilton Jacobi Bellman equation for scaled limits of controlled continuous time random walks. Zbl 1329.60117Kolokoltsov, Vassili N.; Veretennikova, Maria A. 8 2014 Nonlinear Markov semigroups and interacting Lévy type processes. Zbl 1110.82029Kolokoltsov, Vassili N. 8 2007 Fractional stable distributions. Zbl 0994.60010Kolokoltsov, V.; Korolev, V.; Uchaikin, V. 8 2001 Idempotent analysis and its applications to optimal control. Zbl 0857.49022Maslov, V. P.; Kolokol’tsov, V. N. 7 1994 Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential. Zbl 0799.35050Dobrokhotov, S. Yu.; Kolokol’tsov, V. N. 7 1993 The evolutionary game of pressure (or interference), resistance and collaboration. Zbl 1386.91028Kolokoltsov, Vassili 6 2017 Stochastic duality of Markov processes: A study via generators. Zbl 1291.60154Kolokoltsov, Vassili; Lee, Rui Xin 6 2013 Localization and analytic properties of the solutions of the simplest quantum filtering equation. Zbl 0927.60088Kolokol’tsov, Vassili N. 6 1998 Continuous quantum measurement: Local and global approaches. Zbl 0894.47058Albeverio, S.; Kolokol’tsov, V. N.; Smolyanov, O. G. 6 1997 The double-well splitting of the low energy levels for the Schrödinger operator of discrete \(\varphi^ 4\)-models on tori. Zbl 0820.60097Dobrokhotov, Sergei Yu.; Kolokol’tsov, Vassili N. 6 1995 The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre 5 2013 Kinetic equations for the pure jump models of \(k\)-nary interacting particle systems. Zbl 1099.60072Kolokoltsov, V. N. 5 2006 Estimates uniform in time for the transition probability of diffusions with small drift and for stochastically perturbed Newton equations. Zbl 0928.60061Albeverio, Sergio; Hilbert, Astrid; Kolokoltsov, Vassili 5 1999 The probabilistic point of view on the generalized fractional partial differential equations. Zbl 07115448Kolokoltsov, Vassili N. 4 2019 Mean-field-game model for botnet defense in cyber-security. Zbl 1372.49049Kolokoltsov, V. N.; Bensoussan, A. 4 2016 On the solution of two-sided fractional ordinary differential equations of Caputo type. Zbl 1357.34014Hernández-Hernández, Ma. Elena; Kolokoltsov, Vassili N. 4 2016 Stochastic monotonicity and duality for one-dimensional Markov processes. Zbl 1237.60063Kolokol’tsov, V. N. 4 2011 Understanding game theory. Introduction to the analysis of many agent systems with competition and cooperation. Zbl 1189.91001Kolokoltsov, Vassili N.; Malafeyev, Oleg A. 4 2010 Hydrodynamic limit of coagulation-fragmentation type models of \(k\)-nary interacting particles. Zbl 1157.82370Kolokoltsov, Vassili N. 4 2004 Estimation of parameters of fractional stable distributions. Zbl 1130.62023Bening, V. E.; Korolev, V. Yu.; Kolokol’tsov, V. N.; Saenko, V. V.; Uchaikin, V. V.; Zolotarev, V. M. 4 2004 Measure-valued limits of interacting particle systems with \(k\)-nary interactions. I: One-dimensional limits. Zbl 1038.60094Kolokoltsov, Vassili N. 4 2003 Small time and semiclassical asymptotics for stochastic heat equations driven by Lévy noise. Zbl 1018.60062Kolokol’tsov, V. N.; Tyukov, A. E. 4 2003 Invertibility of functional Galois connections. Zbl 1022.06001Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili 4 2002 Transience of stochastically perturbed classical Hamiltonian systems and random wave operators. Zbl 0870.60052Albeverio, S.; Hilbert, A.; Kolokoltsov, V. 4 1997 The general form of the endomorphisms in the space of continuous functions with values in a numerical commutative semiring (with the operation \(\oplus =MAX)\). Zbl 0655.46020Kolokol’tsov, V. N.; Maslov, V. P. 4 1988 The fractional Hamilton-Jacobi-Bellman equation. Zbl 1365.60049Veretennikova, M.; Kolokoltsov, V. 3 2017 On the regularity of solutions to the spatially homogeneous Boltzmann equation with polynomially growing collision kernel. Zbl 1132.35338Kolokoltsov, Vassili N. 3 2006 On a general kinetic equation for many-particle systems with interaction, fragmentation and coagulation. Zbl 1070.82022Belavkin, V. P.; Kolokol’tsov, V. N. 3 2003 Idempotent structures in optimization. Zbl 1014.49019Kolokol’tsov, V. N. 3 2001 The rate of escape for some Gaussian processes and the scattering theory for their small perturbations. Zbl 0890.60051Albeverio, Sergio; Kolokoltsov, Vassily N. 3 1997 A note on the long time asymptotics of the Brownian motion with application to the theory of quantum measurement. Zbl 0892.60086Kolokoltsov, Vassili N. 3 1997 Stochastic Hamiltonian-Jacobi-Bellman equation and stochastic Hamiltonian systems. Zbl 0967.60067Kolokoltsov, V. N. 3 1996 Quantization of the Bellman equation, exponential asymptotics and tunneling. Zbl 0796.35141Dobrokhotov, S. Yu.; Kolokoltsov, V. N.; Maslov, V. P. 3 1992 An approximate Nash equilibrium for pure jump Markov games of mean-field-type on continuous state space. Zbl 1395.91031Basna, Rani; Hilbert, Astrid; Kolokoltsov, Vassili N. 2 2017 Evolutionary inspection and corruption games. Zbl 1406.91039Katsikas, Stamatios; Kolokoltsov, Vassili; Yang, Wei 2 2016 Nonlinear diffusions and stable-like processes with coefficients depending on the median or var. Zbl 1273.49031Kolokoltsov, Vassili N. 2 2013 Uniform asymptotic bounds for the heat kernel and the trace of a stochastic geodesic flow. Zbl 1259.58012Albeverio, Sergio; Hilbert, Astrid; Kolokoltsov, Vassily 2 2012 The Lévy-Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups. Zbl 1235.60094Kolokoltsov, Vassili N. 2 2011 The central limit theorem for the Smoluchovski coagulation model. Zbl 1195.82057Kolokoltsov, Vassili N. 2 2010 Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations. Zbl 1060.70025Kolokol’tsov, Vassili N.; Schilling, René L.; Tyukov, Alexei E. 2 2004 Transience and non-explosion of certain stochastic Newtonian systems. Zbl 1013.60042Kolokol’tsov, V. N.; Schilling, R. L.; Tyukov, A. E. 2 2002 A new path integral representation for the solutions of the Schrödinger, heat and stochastic Schrödinger equations. Zbl 1002.35104Kolokoltsov, Vassili N. 2 2002 Mathematics of the Feynman path integral. Zbl 1055.35054Kolokoltsov, Vassili N. 2 2001 The Cauchy problem for the homogeneous Bellman equation. Zbl 0666.35018Kolokol’tsov, V. N.; Maslov, V. P. 2 1988 Mixed fractional differential equations and generalized operator-valued Mittag-Leffler functions. Zbl 1439.35538Kolokol’tsov, V. N. 1 2019 Many agent games in socio-economic systems: corruption, inspection, coalition building, network growth, security. Zbl 1431.91004Kolokoltsov, Vassili N.; Malafeyev, Oleg A. 1 2019 Stochastic monotonicity and duality of \(k\)th order with application to put-call symmetry of powered options. Zbl 1344.60074Kolokoltsov, Vassili N. 1 2015 External pressure on alliances: what does the prisoners’ dilemma reveal? Zbl 1314.91153Binner, Jane M.; Fletcher, Leslie R.; Kolokoltsov, Vassili; Ciardiello, Francesco 1 2013 Mean field games based on stable-like processes. Zbl 1287.91019Kolokol’tsov, Vassiliĭ N.; Troeva, Marianna S.; Yang, Wei 1 2013 Stochastic integrals and SDE driven by nonlinear Lévy noise. Zbl 1227.60096Kolokoltsov, Vassili N. 1 2011 The optimal assignment problem for a countable state space. Zbl 1179.90205Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili 1 2009 Fractionally stable distributions. Zbl 1201.76215Bening, V. E.; Korolev, V. Yu.; Sukhorukova, T. A.; Gusarov, G. G.; Saenko, V. V.; Uchaikin, V. V.; Kolokoltsov, V. N. 1 2006 Measure-valued limits of interacting particle systems with \(k\)-nary interactions. II. Finite-dimensional limits. Zbl 1080.60093Kolokoltsov, Vassili N. 1 2004 Schrödinger operators with singular potentials and magnetic fields. Zbl 1069.35064Kolokol’tsov, V. N. 1 2003 On extensions of mollified Boltzmann and Smoluchowski equations to particle systems with a \(k\)-ary interaction. Zbl 1039.82029Kolokoltsov, Vassili N. 1 2003 The rate of escape of stable Ornstein-Uhlenbeck processes and the scattering theory for their perturbations. Zbl 0993.60088Kolokol’tsov, V. N.; Tyukov, A. E. 1 2001 On the asymptotic behaviour of the kernel associated by a degenerated diffusion. Zbl 0970.35010Albeverio, Sergio; Hilbert, Astrid; Kolokoltsov, Vassily 1 2000 The stochastic HJB equation and WKB method. Zbl 0899.35128Kolokoltsov, Vassili N. 1 1998 Representation of the solutions of the Belavkin quantum measurement equation by a rigorous version of the Menski functional integration formula. Zbl 0857.60096Albeverio, Sergio; Kolokol’tsov, Vassili N.; Smolyanov, Oleg G. 1 1996 Asymptotically stable invariant tori of a vector field \(V(x)\) and the quasimodes of the operators \(V(x) \cdot \nabla- \varepsilon \Delta\). Zbl 0874.35101Dobrokhotov, S. Yu.; Kolokol’tsov, V. N.; Martines Olive, Victor 1 1995 Quasimodes of the diffusion operator \(-\varepsilon\Delta + v(x)\nabla\), corresponding to asymptotically stable limit cycles of the field \(v(x)\). Zbl 0874.35100Dobrokhotov, Sergei Yu.; Kolokoltsov, Vassili N.; Olivé, Víctor M. 1 1994 Idempotent analysis as a tool of control theory and optimal synthesis. II. Zbl 0709.49015Kolokol’tsov, V. N.; Maslov, V. P. 1 1989 Turnpikes and infinite extremals in Markov decision processes. Zbl 0692.90102Kolokol’tsov, V. N. 1 1989 Idempotent analysis as a tool of control theory and optimal synthesis. I. Zbl 0692.49022Kolokol’tsov, V. N.; Maslov, V. P. 1 1989 On mean field games with common noise and McKean-Vlasov SPDEs. Zbl 1415.60075Kolokoltsov, Vassili N.; Troeva, Marianna 8 2019 The probabilistic point of view on the generalized fractional partial differential equations. Zbl 07115448Kolokoltsov, Vassili N. 4 2019 Mixed fractional differential equations and generalized operator-valued Mittag-Leffler functions. Zbl 1439.35538Kolokol’tsov, V. N. 1 2019 Many agent games in socio-economic systems: corruption, inspection, coalition building, network growth, security. Zbl 1431.91004Kolokoltsov, Vassili N.; Malafeyev, Oleg A. 1 2019 Generalised fractional evolution equations of Caputo type. Zbl 1374.34009Hernández-Hernández, M. E.; Kolokoltsov, V. N.; Toniazzi, L. 9 2017 Mean-field-game model of corruption. Zbl 1391.91030Kolokoltsov, V. N.; Malafeyev, O. A. 9 2017 The evolutionary game of pressure (or interference), resistance and collaboration. Zbl 1386.91028Kolokoltsov, Vassili 6 2017 The fractional Hamilton-Jacobi-Bellman equation. Zbl 1365.60049Veretennikova, M.; Kolokoltsov, V. 3 2017 An approximate Nash equilibrium for pure jump Markov games of mean-field-type on continuous state space. Zbl 1395.91031Basna, Rani; Hilbert, Astrid; Kolokoltsov, Vassili N. 2 2017 Mean-field-game model for botnet defense in cyber-security. Zbl 1372.49049Kolokoltsov, V. N.; Bensoussan, A. 4 2016 On the solution of two-sided fractional ordinary differential equations of Caputo type. Zbl 1357.34014Hernández-Hernández, Ma. Elena; Kolokoltsov, Vassili N. 4 2016 Evolutionary inspection and corruption games. Zbl 1406.91039Katsikas, Stamatios; Kolokoltsov, Vassili; Yang, Wei 2 2016 On fully mixed and multidimensional extensions of the Caputo and Riemann-Liouville derivatives, related Markov processes and fractional differential equations. Zbl 1321.26013Kolokoltsov, Vassili 10 2015 Stochastic monotonicity and duality of \(k\)th order with application to put-call symmetry of powered options. Zbl 1344.60074Kolokoltsov, Vassili N. 1 2015 On the rate of convergence for the mean-field approximation of controlled diffusions with large number of players. Zbl 1314.91020Kolokoltsov, Vassili N.; Troeva, Marianna; Yang, Wei 13 2014 Well-posedness and regularity of the Cauchy problem for nonlinear fractional in time and space equations. Zbl 1412.35370Kolokoltsov, V. N.; Veretennikova, M. A. 8 2014 A fractional Hamilton Jacobi Bellman equation for scaled limits of controlled continuous time random walks. Zbl 1329.60117Kolokoltsov, Vassili N.; Veretennikova, Maria A. 8 2014 Stochastic duality of Markov processes: A study via generators. Zbl 1291.60154Kolokoltsov, Vassili; Lee, Rui Xin 6 2013 The interval market model in mathematical finance. Game-theoretic methods. Zbl 1279.91005Bernhard, Pierre; Engwerda, Jacob C.; Roorda, Berend; Schumacher, Johannes M.; Kolokoltsov, Vassili; Saint-Pierre, Patrick; Aubin, Jean-Pierre 5 2013 Nonlinear diffusions and stable-like processes with coefficients depending on the median or var. Zbl 1273.49031Kolokoltsov, Vassili N. 2 2013 External pressure on alliances: what does the prisoners’ dilemma reveal? Zbl 1314.91153Binner, Jane M.; Fletcher, Leslie R.; Kolokoltsov, Vassili; Ciardiello, Francesco 1 2013 Mean field games based on stable-like processes. Zbl 1287.91019Kolokol’tsov, Vassiliĭ N.; Troeva, Marianna S.; Yang, Wei 1 2013 Turnpike theorems for Markov games. Zbl 1272.91027Kolokoltsov, Vassili; Yang, Wei 11 2012 Uniform asymptotic bounds for the heat kernel and the trace of a stochastic geodesic flow. Zbl 1259.58012Albeverio, Sergio; Hilbert, Astrid; Kolokoltsov, Vassily 2 2012 Markov processes, semigroups and generators. Zbl 1220.60003Kolokoltsov, Vassili N. 56 2011 Stochastic monotonicity and duality for one-dimensional Markov processes. Zbl 1237.60063Kolokol’tsov, V. N. 4 2011 The Lévy-Khintchine type operators with variable Lipschitz continuous coefficients generate linear or nonlinear Markov processes and semigroups. Zbl 1235.60094Kolokoltsov, Vassili N. 2 2011 Stochastic integrals and SDE driven by nonlinear Lévy noise. Zbl 1227.60096Kolokoltsov, Vassili N. 1 2011 Nonlinear Markov processes and kinetic equations. Zbl 1222.60003Kolokoltsov, Vassili N. 54 2010 Understanding game theory. Introduction to the analysis of many agent systems with competition and cooperation. Zbl 1189.91001Kolokoltsov, Vassili N.; Malafeyev, Oleg A. 4 2010 The central limit theorem for the Smoluchovski coagulation model. Zbl 1195.82057Kolokoltsov, Vassili N. 2 2010 Generalized continuous-time random walks, subordination by hitting times, and fractional dynamics. Zbl 1193.60046Kolokoltsov, V. N. 28 2009 The optimal assignment problem for a countable state space. Zbl 1179.90205Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili 1 2009 Nonlinear Markov semigroups and interacting Lévy type processes. Zbl 1110.82029Kolokoltsov, Vassili N. 8 2007 Kinetic equations for the pure jump models of \(k\)-nary interacting particle systems. Zbl 1099.60072Kolokoltsov, V. N. 5 2006 On the regularity of solutions to the spatially homogeneous Boltzmann equation with polynomially growing collision kernel. Zbl 1132.35338Kolokoltsov, Vassili N. 3 2006 Fractionally stable distributions. Zbl 1201.76215Bening, V. E.; Korolev, V. Yu.; Sukhorukova, T. A.; Gusarov, G. G.; Saenko, V. V.; Uchaikin, V. V.; Kolokoltsov, V. N. 1 2006 Set coverings and invertibility of functional Galois connections. Zbl 1080.06001Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili 11 2005 On Markov processes with decomposable pseudo-differential generators. Zbl 1091.60014Kolokoltsov, Vassili N. 9 2004 Hydrodynamic limit of coagulation-fragmentation type models of \(k\)-nary interacting particles. Zbl 1157.82370Kolokoltsov, Vassili N. 4 2004 Estimation of parameters of fractional stable distributions. Zbl 1130.62023Bening, V. E.; Korolev, V. Yu.; Kolokol’tsov, V. N.; Saenko, V. V.; Uchaikin, V. V.; Zolotarev, V. M. 4 2004 Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations. Zbl 1060.70025Kolokol’tsov, Vassili N.; Schilling, René L.; Tyukov, Alexei E. 2 2004 Measure-valued limits of interacting particle systems with \(k\)-nary interactions. II. Finite-dimensional limits. Zbl 1080.60093Kolokoltsov, Vassili N. 1 2004 Measure-valued limits of interacting particle systems with \(k\)-nary interactions. I: One-dimensional limits. Zbl 1038.60094Kolokoltsov, Vassili N. 4 2003 Small time and semiclassical asymptotics for stochastic heat equations driven by Lévy noise. Zbl 1018.60062Kolokol’tsov, V. N.; Tyukov, A. E. 4 2003 On a general kinetic equation for many-particle systems with interaction, fragmentation and coagulation. Zbl 1070.82022Belavkin, V. P.; Kolokol’tsov, V. N. 3 2003 Schrödinger operators with singular potentials and magnetic fields. Zbl 1069.35064Kolokol’tsov, V. N. 1 2003 On extensions of mollified Boltzmann and Smoluchowski equations to particle systems with a \(k\)-ary interaction. Zbl 1039.82029Kolokoltsov, Vassili N. 1 2003 Invertibility of functional Galois connections. Zbl 1022.06001Akian, Marianne; Gaubert, Stéphane; Kolokoltsov, Vassili 4 2002 Transience and non-explosion of certain stochastic Newtonian systems. Zbl 1013.60042Kolokol’tsov, V. N.; Schilling, R. L.; Tyukov, A. E. 2 2002 A new path integral representation for the solutions of the Schrödinger, heat and stochastic Schrödinger equations. Zbl 1002.35104Kolokoltsov, Vassili N. 2 2002 Fractional stable distributions. Zbl 0994.60010Kolokoltsov, V.; Korolev, V.; Uchaikin, V. 8 2001 Idempotent structures in optimization. Zbl 1014.49019Kolokol’tsov, V. N. 3 2001 Mathematics of the Feynman path integral. Zbl 1055.35054Kolokoltsov, Vassili N. 2 2001 The rate of escape of stable Ornstein-Uhlenbeck processes and the scattering theory for their perturbations. Zbl 0993.60088Kolokol’tsov, V. N.; Tyukov, A. E. 1 2001 Symmetric stable laws and stable-like jump-diffusions. Zbl 1021.60011Kolokoltsov, Vassili 91 2000 Semiclassical analysis for diffusions and stochastic processes. Zbl 0951.60001Kolokoltsov, V. N. 30 2000 On the asymptotic behaviour of the kernel associated by a degenerated diffusion. Zbl 0970.35010Albeverio, Sergio; Hilbert, Astrid; Kolokoltsov, Vassily 1 2000 Estimates uniform in time for the transition probability of diffusions with small drift and for stochastically perturbed Newton equations. Zbl 0928.60061Albeverio, Sergio; Hilbert, Astrid; Kolokoltsov, Vassili 5 1999 Nonexpansive maps and option pricing theory. Zbl 1274.91420Kolokoltsov, Vassili N. 14 1998 Localization and analytic properties of the solutions of the simplest quantum filtering equation. Zbl 0927.60088Kolokol’tsov, Vassili N. 6 1998 The stochastic HJB equation and WKB method. Zbl 0899.35128Kolokoltsov, Vassili N. 1 1998 Idempotent analysis and its applications. Appendix by Pierre Del Moral. Transl. from the Russian by V. E. Nazaikinskij. Zbl 0941.93001Kolokoltsov, V. N.; Maslov, V. P. 110 1997 Continuous quantum measurement: Local and global approaches. Zbl 0894.47058Albeverio, S.; Kolokol’tsov, V. N.; Smolyanov, O. G. 6 1997 Transience of stochastically perturbed classical Hamiltonian systems and random wave operators. Zbl 0870.60052Albeverio, S.; Hilbert, A.; Kolokoltsov, V. 4 1997 The rate of escape for some Gaussian processes and the scattering theory for their small perturbations. Zbl 0890.60051Albeverio, Sergio; Kolokoltsov, Vassily N. 3 1997 A note on the long time asymptotics of the Brownian motion with application to the theory of quantum measurement. Zbl 0892.60086Kolokoltsov, Vassili N. 3 1997 Asymptotic spectral analysis of a small diffusion operator and the life times of the corresponding diffusion process. Zbl 0912.58042Kolokol’tsov, Vassili N.; Makarov, Konstantin A. 10 1996 Stochastic Hamiltonian-Jacobi-Bellman equation and stochastic Hamiltonian systems. Zbl 0967.60067Kolokoltsov, V. N. 3 1996 Representation of the solutions of the Belavkin quantum measurement equation by a rigorous version of the Menski functional integration formula. Zbl 0857.60096Albeverio, Sergio; Kolokol’tsov, Vassili N.; Smolyanov, Oleg G. 1 1996 Scattering theory for the Belavkin equation describing a quantum particle with continuously observed coordinate. Zbl 0845.35078Kolokol’tsov, Vassili N. 10 1995 The double-well splitting of the low energy levels for the Schrödinger operator of discrete \(\varphi^ 4\)-models on tori. Zbl 0820.60097Dobrokhotov, Sergei Yu.; Kolokol’tsov, Vassili N. 6 1995 Asymptotically stable invariant tori of a vector field \(V(x)\) and the quasimodes of the operators \(V(x) \cdot \nabla- \varepsilon \Delta\). Zbl 0874.35101Dobrokhotov, S. Yu.; Kolokol’tsov, V. N.; Martines Olive, Victor 1 1995 Idempotent analysis and its applications to optimal control. Zbl 0857.49022Maslov, V. P.; Kolokol’tsov, V. N. 7 1994 Quasimodes of the diffusion operator \(-\varepsilon\Delta + v(x)\nabla\), corresponding to asymptotically stable limit cycles of the field \(v(x)\). Zbl 0874.35100Dobrokhotov, Sergei Yu.; Kolokoltsov, Vassili N.; Olivé, Víctor M. 1 1994 Splitting amplitudes of the lowest energy levels of the Schrödinger operator with double-well potential. Zbl 0799.35050Dobrokhotov, S. Yu.; Kolokol’tsov, V. N. 7 1993 On linear, additive, and homogeneous operators in idempotent analysis. Zbl 0925.47016Kolokoltsov, V. N. 10 1992 Quantization of the Bellman equation, exponential asymptotics and tunneling. Zbl 0796.35141Dobrokhotov, S. Yu.; Kolokoltsov, V. N.; Maslov, V. P. 3 1992 Splitting of the lowest energy levels of the Schrödinger equation and asymptotic behavior of the fundamental solution of the equation \(hu_ t=h^ 2\Delta u/2-V(x)u\). Zbl 0745.35033Dobrokhotov, S. Yu.; Kolokol’tsov, V. N.; Maslov, V. P. 11 1991 Idempotent analysis as a tool of control theory and optimal synthesis. I. Zbl 0709.49014Kolokol’tsov, V. N.; Maslov, V. P. 14 1989 Idempotent analysis as a tool of control theory and optimal synthesis. II. Zbl 0709.49015Kolokol’tsov, V. N.; Maslov, V. P. 1 1989 Turnpikes and infinite extremals in Markov decision processes. Zbl 0692.90102Kolokol’tsov, V. N. 1 1989 Idempotent analysis as a tool of control theory and optimal synthesis. I. Zbl 0692.49022Kolokol’tsov, V. N.; Maslov, V. P. 1 1989 The general form of the endomorphisms in the space of continuous functions with values in a numerical commutative semiring (with the operation \(\oplus =MAX)\). Zbl 0655.46020Kolokol’tsov, V. N.; Maslov, V. P. 4 1988 The Cauchy problem for the homogeneous Bellman equation. Zbl 0666.35018Kolokol’tsov, V. N.; Maslov, V. P. 2 1988 Geodesic flows on two-dimensional manifolds with an additional first integral that is polynomial in the velocities. Zbl 0548.58028Kolokol’tsov, V. N. 17 1983 Geodesic flows on two-dimensional manifolds with according to the velocities complementary polynomial first integral. Zbl 0518.58033Kolokol’tsov, V. N. 11 1982 all cited Publications top 5 cited Publications all top 5 Cited by 687 Authors 35 Kolokoltsov, Vassili N. 23 Gaubert, Stéphane 13 Albeverio, Sergio A. 13 Chen, Zhen-Qing 10 Pap, Endre 10 Schilling, René Leander 9 Akian, Marianne 9 Meerschaert, Mark M. 8 Bass, Richard F. 8 Krivulin, Nikolai K. 8 Maslov, Viktor Pavlovich 8 Wang, Jian 7 McEneaney, William M. 7 Menozzi, Stéphane 7 Sandrić, Nikola 7 Sergeev, Sergeĭ Mikhaĭlovich 7 Štrboja, Mirjana 7 Zaslavski, Alexander Yakovlevich 6 Averboukh, Yuriĭ Vladimirovich 6 Katz, Ricardo David 6 Liu, Junfeng 6 Matveev, Vladimir S. 6 Pavlyukevich, Ilya 6 Ricciuti, Costantino 6 Saburov, Mansoor 6 Štajner-Papuga, Ivana 6 Wu, Jianglun 5 Allamigeon, Xavier 5 Bäumer, Boris 5 Bolsinov, Alexey V. 5 Cavazos-Cadena, Rolando 5 Grbić, Tatjana 5 Knopova, Victoria Pavlovna 5 Kondrat’yev, Yuriĭ Grygorovych 5 Peperko, Aljoša 5 Toaldo, Bruno 5 Yan, Litan 4 Anikin, A. Yu. 4 Dobrokhotov, Sergei Yurievich 4 Kovács, Mihály 4 Kühn, Franziska 4 Kumagai, Takashi 4 Kutoviy, Oleksandr V. 4 Leonenko, Nikolai N. 4 Mazzucchi, Sonia 4 Mesiar, Radko 4 Orsingher, Enzo 4 Pucacco, Giuseppe 4 Roquejoffre, Jean-Michel 4 Sikorskii, Alla 4 Straka, Peter 3 Agahi, Hamzeh 3 Aida, Shigeki 3 Anh, Vo V. 3 Beghin, Luisa 3 Bennett, Jonathan 3 Bensoussan, Alain 3 Butkovič, Peter 3 Clement, Emmanuelle 3 Di Nola, Antonio 3 Finkelshteĭn, Dmitriĭ Leonidovich 3 Fomenko, Anatoliĭ Timofeevich 3 Foondun, Mohammud 3 Gomes, Diogo Luís Aguiar 3 Hernández-Hernández, Daniel 3 Hochart, Antoine 3 Kassmann, Moritz 3 Kim, Panki 3 Kochubeĭ, Anatoliĭ Naumovych 3 Konakov, Valentin 3 Litvinov, Grigory Lazarevich 3 Liu, Jianguo 3 Mora, Carlos M. 3 Müller, Vladimír 3 Papić, I. 3 Priola, Enrico 3 Pułka, Małgorzata 3 Rosquist, Kjell 3 Saburov, Mansur Kh. 3 Sankaranarayanan, Harish 3 Schneider, Hans 3 Smii, Boubaker 3 Šuvak, Nenad 3 Toniazzi, Lorenzo 3 Troeva, Marianna S. 3 Truman, Aubrey 3 Vybornyi, E. V. 3 Wang, Jieming 2 Agapov, Sergei Vadimovich 2 Bacaër, Nicolas 2 Bally, Vlad 2 Bartoszek, Krzysztof 2 Bassi, Angelo 2 Belavkin, Viacheslav 2 Belomestny, Denis 2 Bening, Vladimir E. 2 Bernhard, Pierre 2 Bialy, Misha 2 Biswas, Anup 2 Budhiraja, Amarjit S. ...and 587 more Authors all top 5 Cited in 197 Serials 25 Stochastic Processes and their Applications 18 Linear Algebra and its Applications 17 Mathematical Notes 15 Fractional Calculus & Applied Analysis 13 Fuzzy Sets and Systems 11 Journal of Functional Analysis 11 Transactions of the American Mathematical Society 11 Journal of Theoretical Probability 11 Journal of Mathematical Sciences (New York) 10 Journal of Mathematical Analysis and Applications 10 Applied Mathematics and Optimization 10 Nonlinear Analysis. Theory, Methods & Applications. 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Nonlinear Differential Equations and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 4 Stochastics and Dynamics 4 Journal of Dynamics and Games 3 Communications in Mathematical Physics 3 Journal of Computational Physics 3 Moscow University Mathematics Bulletin 3 Chaos, Solitons and Fractals 3 Automatica 3 Functional Analysis and its Applications 3 Osaka Journal of Mathematics 3 Proceedings of the American Mathematical Society 3 Theoretical Computer Science 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Nonlinear Science 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Chaos 3 Proceedings of the Steklov Institute of Mathematics 3 Set-Valued and Variational Analysis 3 Games 2 International Journal of Modern Physics A 2 Advances in Applied Probability 2 Communications in Algebra 2 Bulletin of Mathematical Biology 2 Advances in Mathematics 2 International Journal of Game Theory 2 Journal of the Mathematical Society of Japan 2 Mathematische Annalen 2 Results in Mathematics 2 Semigroup Forum 2 Siberian Mathematical Journal 2 International Journal of Approximate Reasoning 2 Discrete Event Dynamic Systems 2 Mathematical Problems in Engineering 2 Finance and Stochastics 2 Doklady Mathematics 2 Differential Equations 2 Journal of Evolution Equations 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Stochastics 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Frontiers of Mathematics in China 2 Matematicheskaya Teoriya Igr i eë Prilozheniya 2 Journal of Applied Analysis and Computation 2 Journal of Logical and Algebraic Methods in Programming 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 International Journal of Modern Physics B 1 Applicable Analysis 1 Artificial Intelligence 1 Archive for Rational Mechanics and Analysis 1 Indian Journal of Pure & Applied Mathematics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Physica A 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Theory of Probability and its Applications 1 Acta Mathematica Vietnamica ...and 97 more Serials all top 5 Cited in 55 Fields 255 Probability theory and stochastic processes (60-XX) 138 Partial differential equations (35-XX) 73 Operator theory (47-XX) 69 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 48 Calculus of variations and optimal control; optimization (49-XX) 44 Statistical mechanics, structure of matter (82-XX) 42 Systems theory; control (93-XX) 37 Quantum theory (81-XX) 33 Dynamical systems and ergodic theory (37-XX) 32 Real functions (26-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 30 Numerical analysis (65-XX) 26 Operations research, mathematical programming (90-XX) 25 Differential geometry (53-XX) 24 Measure and integration (28-XX) 23 Ordinary differential equations (34-XX) 21 Associative rings and algebras (16-XX) 17 Global analysis, analysis on manifolds (58-XX) 17 Statistics (62-XX) 16 Functional analysis (46-XX) 14 Computer science (68-XX) 13 Mechanics of particles and systems (70-XX) 12 Order, lattices, ordered algebraic structures (06-XX) 11 Algebraic geometry (14-XX) 10 Fluid mechanics (76-XX) 10 Biology and other natural sciences (92-XX) 9 Integral equations (45-XX) 9 Convex and discrete geometry (52-XX) 8 Combinatorics (05-XX) 8 General topology (54-XX) 7 Number theory (11-XX) 7 Potential theory (31-XX) 5 Category theory; homological algebra (18-XX) 5 Approximations and expansions (41-XX) 4 Mathematical logic and foundations (03-XX) 4 Field theory and polynomials (12-XX) 4 Special functions (33-XX) 4 Manifolds and cell complexes (57-XX) 3 General algebraic systems (08-XX) 3 Group theory and generalizations (20-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Difference and functional equations (39-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) Citations by Year