Την Πέμπτη 27/6/2019, 14.15-15.00, στην αίθουσα Μ2 της ΣΘΕ, ο καθηγητής του Πανεπιστημίου UTC της Κομπιένης (Γαλλία), Ν. Λημνιός θα δώσει διάλεξη ως εξής:
Title: “Diffusion Approximation of Near Critical Branching Processes in Fixed and Random Environment”
Nikolaos Limnios, University of Technology of Compiegne, Sorbonne University, France
Abstract:
We consider Bienayme-Galton-Watson and continuous-time Markov branching processes and prove diffusion approximation results in the near critical case, in fixed and random environment. On one hand, in the fixed environment case, we give new proofs and derive necessary and sufficient conditions for diffusion approximation to get hold of Feller-Jirina and Jagers theorems. On the other hand, we propose a continuous-time Markov branching process with semi-Markov random environments and obtain diffusion approximation results. An averaging result is also presented.
Από τον Τομέα Σταιστικής και Επιχ. Έρευνας και το Εργ. Στατιστικής, Χάους και Στοχ. Ανάλυσης.