Large deviations for vector-valued Lévy processes
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Publication:1332318
DOI10.1016/0304-4149(94)90020-5zbMath0805.60020OpenAlexW1987779745MaRDI QIDQ1332318
Publication date: 10 October 1994
Published in: Stochastic Processes and their Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0304-4149(94)90020-5
large deviation principleLévy processes with sample paths of bounded variationvector-valued Lévy process
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Cites Work
- Large deviations for a general class of random vectors
- Large deviations for empirical measures of Markov chains
- Large deviations and stochastic homogenization
- Large deviations for vector-valued functionals of a Markov chain: Lower bounds
- Exponential moments of vector valued random series and triangular arrays
- A function space large deviation principle for certain stochastic integrals
- Upper bounds for large deviations of dependent random vectors
- Large Deviations for Trajectories of Multi-Dimensional Random Walks
- On Large Deviations from the Invariant Measure
- Large deviations from the mckean-vlasov limit for weakly interacting diffusions
- On the Subdifferentiability of Convex Functions
- Boundary-Value Problems for Random Walks and Large Deviations in Function Spaces
- Large deviations for processes with independent increments
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