Theory of complex systems, mathematical physics, infinite-dimensional analysis, point processes, stochastic dynamics, mathematical biology
Main publications:
D. Finkelshtein, Y. Kondratiev, Y. Kozitsky, “Glauber dynamics in continuum: a constructive approach to evolution of states”, Discrete and Cont. Dynam. Syst. Ser A., 33:4 (2013), 1431–1450
D. Finkelshtein, Y. Kondratiev, O. Kutoviy, “Semigroup approach to non-equilibrium birth-and-death stochastic dynamics in continuum”, J. Functional Analysis, 262:3 (2012), 1274–1308
D. Finkelshtein, Y. Kondratiev, O. Kutoviy, E. Lytvynov, “Binary jumps in continuum. II. Non-equilibrium process and a Vlasov-type scaling limit”, J. Mathematical Physics, 52 (2011), 113301
D. Finkelshtein, Y. Kondratiev, O. Kutoviy, “Vlasov scaling for stochastic dynamics of continuous systems”, J. Statistical Physics, 141:1 (2010), 158–178
D. Finkelshtein, Y. Kondratiev, O. Kutoviy, “Individual based model with competition in spatial ecology.”, SIAM J. Mathematical Analysis, 41:1 (2009), 297–317
