Retarded stationary Ornstein-Uhlenbeck processes driven by Lévy noise and operator self-decomposability
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Publication:5962194
DOI10.1007/s11118-010-9174-0zbMath1223.60030OpenAlexW2012620257MaRDI QIDQ5962194
Publication date: 21 September 2010
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-010-9174-0
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Cites Work
- Unnamed Item
- Asymptotic coupling and a general form of Harris' theorem with applications to stochastic delay equations
- Stability of functional partial differential equations
- Delay differential equations driven by Lévy processes: stationarity and Feller properties
- On the infinitesimal generators of Ornstein-Uhlenbeck processes with jumps in Hilbert space
- Stationary solutions of retarded Ornstein-Uhlenbeck processes in Hilbert spaces
- The fundamental solution and its role in the optimal control of infinite dimensional neutral systems
- On stationary solutions of delay differential equations driven by a Lévy process.
- Stochastic Retarded Evolution Equations: Green Operators, Convolutions, and Solutions
- On processes of ornstein-uhlenbeck type in hilbert space
- One-Parameter Semigroups for Linear Evolution Equations
- Stochastic Integrals and the Lévy–Ito Decomposition Theorem on Separable Banach Spaces
- A characterization of stable processes
- Stochastic Equations in Infinite Dimensions
