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On the parabolic generator of a general one-dimensional Lévy process

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Publication:1038873
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DOI10.1214/ECP.v13-1366zbMath1191.60063OpenAlexW2052247480MaRDI QIDQ1038873

Nathalie Eisenbaum, Andreas E. Kyprianou

Publication date: 20 November 2009

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/226466


zbMATH Keywords

stochastic calculusItô formulalocal time-spaceparabolic generator


Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Martingales with continuous parameter (60G44) Stochastic integrals (60H05) Local time and additive functionals (60J55)


Related Items (6)

An optimal stopping problem for spectrally negative Markov additive processes ⋮ Extended Itô calculus for symmetric Markov processes ⋮ Stochastic integration with respect to additive functionals of zero quadratic variation ⋮ Fair valuation of Lévy-type drawdown-drawup contracts with general insured and penalty functions ⋮ Local time-space calculus for symmetric Lévy processes ⋮ Quickest drift change detection in Lévy-type force of mortality model




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