Analysis seminar: Oles Kutovyi

Speaker: Oles Kutovyi (University of Bielefeld, Germany and MIT, USA)

Title: Stochastic evolutions in ecological models and their scalings

Abstract: We analyze an interacting particle system with a Markov evolution of birth-and-death type in continuum. The corresponding Vlasov-type scaling, which is based on a proper scaling of corresponding Markov generators and has an algorithmic realization in terms of related hierarchical chains of correlation functions equations is studied. The existence of rescaled and limiting evolutions of correlation functions as well as convergence to the limiting evolution are shown.