Vasili Kolokoltsov

Publications²²

• Article Kolokoltsov V., Dmitri V. Vetchinnikov. On Effective Fine Functions for Inspection—Corruption Games (Evolutionary Approach) // Mathematics. 2023. Vol. 11. No. 15. Article 3429. doi
• Article Kolokoltsov V. On the control over the distribution of ticks based on the extensions of the KISS model. // Mathematical and Computational Applications (MDPI). 2023. No. 11 doi
• Article Kolokoltsov V., Troeva M. A New Approach to Fractional Kinetic Evolutions // Fractal and Fractional. 2022. Vol. 6. No. 2. Article 49. doi
• Article Vassili Kolokoltsov. CTRW modeling of quantum measurement and fractional equations of quantum stochastic filtering and control // Fractional Calculus and Applied Analysis. 2022. Vol. 25. No. 1. P. 128-165. doi
• Article Vassili N. Kolokoltsov. Quantum mean-field games // The Annals of Applied Probability. 2022. Vol. 32. No. 3. P. 2254-2288. doi
• Article Kolokoltsov V., Troeva M. S. Abstract McKean–Vlasov and Hamilton–Jacobi–Bellman Equations, Their Fractional Versions and Related Forward–Backward Systems on Riemannian Manifolds // Proceedings of the Steklov Institute of Mathematics. 2021. Vol. 315. No. 1. P. 118-139. doi
• Article Kolokoltsov V. Inspection—Corruption Game of Illegal Logging and Other Violations: Generalized Evolutionary Approach // Mathematics. 2021. Vol. 9. No. 14. Article 1619. doi
• Article Kolokoltsov V., Lin F., Mijatovic A. Monte carlo estimation of the solution of fractional partial differential equations // Fractional Calculus and Applied Analysis. 2021. Vol. 24. No. 1. P. 278-306. doi
• Article Kolokoltsov V. On a probabilistic derivation of the basic particle statistics (Bose-Einstein, Fermi-Dirac, canonical, grand-canonical, intermediate) and related distributions // Transactions of the Moscow Mathematical Society. 2021. Vol. 82. No. 1. P. 93-104.
• Article Kolokoltsov V. Quantum Mean-Field Games with the Observations of Counting Type // Games. 2021. Vol. 12. Article 7. doi
• Article V. N. Kolokoltsov. The law of large numbers for quantum stochastic filtering and control of many-particle systems / Пер. с рус. // Theoretical and Mathematical Physics. 2021. Vol. 208. No. 1. P. 937-957. doi
• Book Kolokoltsov V., малафеев о. а. Understanding Game Theory: Introduction to the Analysis of Many Agent Systems with Competition and Cooperation / 2nd Edition. Singapore : World Scientific Publishing Co., 2021. doi
• Preprint Kolokoltsov V. Continuous time random walks modeling of quantum measurement and fractional equations of quantum stochastic filtering and control / Cornell University. Series arXiv "math". 2020.
• Article Kolokoltsov V. Dynamic quantum games // Working papers by Cornell University. Series cond-mat.soft "arxiv.org" (. 2020. P. 552-573.
• Preprint Kolokoltsov V. The law of large numbers for quantum stochastic filtering and control of many particle systems / Cornell University. Series arXiv "math". 2020.
• Book Kolokoltsov V. Differential Equations on Measures and Functional Spaces. Switzerland : Birkhauser/Springer, 2019. doi
• Book Kolokoltsov V., Malafeev O. Many Agent Games in Socio-economic Systems: Corruption, Inspection, Coalition Building, Network Growth, Security. Switzerland : Springer, 2019. doi
• Article Kolokoltsov V. The probabilistic point of view on the generalized fractional partial differential equations // Fractional Calculus and Applied Analysis. 2019. Vol. 22. No. 3. P. 543-600. doi
• Article Kolokoltsov V., Malafeyev O. Corruption and botnet defense: a mean field game approach // International Journal of Game Theory. 2018. Vol. 47. P. 977-999. doi
• Article Veretennikova M., Kolokoltsov V. The fractional Hamilton-Jacobi-Bellman equation // Journal of Applied Nonlinear Dynamics. 2017. Vol. 6. No. 1. P. 45-56. doi
• Article Veretennikova M., Kolokoltsov V. A fractional Hamilton Jacobi Bellman equation for scaled limits of controlled Continuous Time Random Walks // Communications in Applied and Industrial Mathematics. 2015. Vol. 6. No. 1. P. 1-18. doi
• Article Veretennikova M., Kolokoltsov V. Well-posedness and regularity of the Cauchy problem for nonlinear fractional in time and space equations // Fractional Differential Calculus Journal. 2014. Vol. 4. No. 1. P. 1-30. doi