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Autor(es):
Logachov, A. ; Logachova, O. ; Pechersky, E. ; Presman, E. ; Yambartsev, A.
Número total de Autores: 5
Tipo de documento: Artigo Científico
Fonte: Markov Processes and Related Fields; v. 29, n. 4, p. 165-pg., 2023-01-01.
Resumo

The symmetric birth and death stochastic process on the non -negative integers x is an element of Z+ with polynomial rates x alpha, alpha is an element of [1, 2], x =6 0, is studied. The process moves slowly and spends more time in the neighborhood of the state 0. We prove the convergence of the scaled process to a solution of stochastic differential equation without drift. Sticking phenomenon appears at the limiting process: trajectories, starting from any state, take finite time to reach 0 and remain there indefinitely. (AU)

Processo FAPESP: 17/10555-0 - Modelagem estocástica de sistemas interagentes
Beneficiário:Fabio Prates Machado
Modalidade de apoio: Auxílio à Pesquisa - Temático