Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 20.05.1978
E-mail:
Website: https://www.imath.kiev.ua/~fdl
Keywords: $C_0$-semigroups, binary jumps, continuous systems, correlation functions, evolution equations, generating functional, Glauber dynamics, interacting particle system, Kawasaki dynamics, Markov evolution, non-equilibrium dynamics, Ovsjannikov's method, Poisson measure, scaling limits, semigroup approximation, spatial birth-and-death processes, stochastic evolutions, Vlasov equation, Vlasov scaling.

Subject:

Theory of complex systems, mathematical physics, infinite-dimensional analysis, point processes, stochastic dynamics, mathematical biology

Main publications:

1. 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  
2. 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      
3. 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    
4. D. Finkelshtein, Y. Kondratiev, O. Kutoviy, “Vlasov scaling for stochastic dynamics of continuous systems”, J. Statistical Physics, 141:1 (2010), 158–178        
5. D. Finkelshtein, Y. Kondratiev, O. Kutoviy, “Individual based model with competition in spatial ecology.”, SIAM J. Mathematical Analysis, 41:1 (2009), 297–317      

Publications in Math-Net.Ru

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Organisations:

• Swansea University
• Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev