Geodesic
Stochastic Monotonicity and Duality for One-Dimensional Markov Processes
Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 694-704.

Voir la notice de l'article provenant de la source Math-Net.Ru

The theory of monotonicity and duality is developed for general one-dimensional Feller processes, extending the approach from [1]. Moreover it is shown that local monotonicity conditions (conditions on the Lévy kernel) are sufficient to prove the well-posedness of the corresponding Markov semigroup and process, including unbounded coefficients and processes on the half-line.
Keywords: stochastic monotonicity, duality, one-dimensional Markov process, Lévy–Kchintchine type generator. 
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V. N. Kolokoltsov. Stochastic Monotonicity and Duality for One-Dimensional Markov Processes. Matematičeskie zametki, Tome 89 (2011) no. 5, pp. 694-704. http://geodesic.mathdoc.fr/item/MZM_2011_89_5_a5/

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