Existence of continuous and càdlàg versions for cylindrical processes in the dual of a nuclear space
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Publication:1661587
DOI10.1007/s10959-016-0726-0zbMath1405.60005arXiv1511.08443OpenAlexW3098056075MaRDI QIDQ1661587
Publication date: 16 August 2018
Published in: Journal of Theoretical Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.08443
cylindrical martingalescontinuous and càdlàg versionscylindrical stochastic processesdual of a nuclear space
Sample path properties (60G17) Generalized stochastic processes (60G20) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Probability theory on linear topological spaces (60B11)
Related Items
Lévy processes and infinitely divisible measures in the dual of a nuclear space ⋮ Semimartingales on duals of nuclear spaces ⋮ Time regularity of stochastic convolutions and stochastic evolution equations in duals of nuclear spaces ⋮ Almost sure uniform convergence of stochastic processes in the dual of a nuclear space ⋮ Radonification of a cylindrical Lévy process ⋮ Tightness and weak convergence of probabilities on the Skorokhod space on the dual of a nuclear space and applications ⋮ Regularization of cylindrical processes in locally convex spaces ⋮ Modelling Lévy space‐time white noises ⋮ Stochastic integration and stochastic PDEs driven by jumps on the dual of a nuclear space ⋮ Stochastic integration with respect to cylindrical semimartingales
Cites Work
- Structural properties of semilinear SPDEs driven by cylindrical stable processes
- La convergence en loi pour les processus à valeurs dans un espace nucléaire
- Stochastic evolution equations in UMD Banach spaces
- Sur les supports des processus à valeurs dans des espaces nucléaires. (On the supports of processes with values in nuclear spaces)
- Cylindrical \(\sigma\)-algebra and cylindrical measure
- Fonctions aléatoires à valeurs dans certains espaces nucléaires. (Random functions with values in certain nuclear spaces)
- On the sample continuity of S'-processes
- SPDE limits of many-server queues
- Ornstein-Uhlenbeck processes driven by cylindrical Lévy processes
- Particle picture approach to the self-intersection local time of density processes in \(\mathcal S^{\prime}(\mathbb R^d)\)
- Séminaire sur les fonctions aléatoires linéaires et les mesures cylindriques
- Cylindrical Lévy processes in Banach spaces
- MARTINGALES OF RANDOM DISTRIBUTIONS
- Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces: An L2 approach
- Stochastic Partial Differential Equations with Levy Noise
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