62 citations · 367 across the 47 of their papers we have counts for
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math-ph2010★ 3 cited
Vlasov scaling for the Glauber dynamics in continuum
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We consider Vlasov-type scaling for the Glauber dynamics in continuum with a positive integrable potential, and construct rescaled and limiting evolutions of correlation functions.…
math-ph2010★ 46 cited
Vlasov scaling for stochastic dynamics of continuous systems
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
We describe a general scheme of derivation of the Vlasov-type equations for Markov evolutions of particle systems in continuum. This scheme is based on a proper scaling of correspo…