Stationary distributions of the simplest dynamical systems in \(R^ n\) perturbed by generalized Poisson process

DOI10.1016/0047-259X(84)90033-2zbMath0561.60061MaRDI QIDQ2266527

Oleg K. Zakusilo

Publication date: 1984

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

infinitely divisible distributioncompound Poisson processdomain of attraction of a stable law

Mathematics Subject Classification ID

Infinitely divisible distributions; stable distributions (60E07) Central limit and other weak theorems (60F05) Continuous-time Markov processes on general state spaces (60J25) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

Cites Work

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• Domains of attraction of stable measures on a Hilbert space
• A representation theorem for symmetric stable processes and stable measures on H

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