Applied Mathematics Seminar

Institute of Mathematics and Informatics, BAS Akad.G.Bonchev St, bl. 8, 1113, Sofia

The next meeting of the Applied Mathematics Seminar will be held on December 10 (Wednesday) at 3:00 PM in room 503 of IMI-BAS. Lecturer: Giuseppe D'Onofrio (Politecnico di Torino, Италия) Title: ADDITIVE SUBORDINATION OF MULTIPARAMETER MARKOV PROCESSES Abstract: In this talk, we consider multiparameter multidimensional Markov processes that are time-changed by an independent additive subordinator, obtained from a Lévy process by relaxing the condition of stationary increments. By extending Phillips theorem, we show that the resulting process is a Feller evolution and we characterize its generator. We further derive its pseudo-differential representation and show that its symbol admits a Lévy-Khintchine representation. As an application, we consider a factor-based specification for the Ornstein-Uhlenbeck process subordinated by a Sato process. The constructive nature of this process [...]

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