Annales de l'Institut Henri Poincaré, Probabilités et Statistiques

On Wiener–Hopf factors for stable processes

Piotr Graczyk and Tomasz Jakubowski

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We give a series representation of the logarithm of the bivariate Laplace exponent κ of α-stable processes for almost all α ∈ (0, 2].


Nous donnons un développement en série du logarithme de l’exposant de Laplace bivarié κ des processus α-stables pour presque tous α ∈ (0, 2].

Article information

Ann. Inst. H. Poincaré Probab. Statist., Volume 47, Number 1 (2011), 9-19.

First available in Project Euclid: 4 January 2011

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Zentralblatt MATH identifier

Primary: 60G51: Processes with independent increments; Lévy processes 60E10: Characteristic functions; other transforms

Stable process Wiener–Hopf factorization


Graczyk, Piotr; Jakubowski, Tomasz. On Wiener–Hopf factors for stable processes. Ann. Inst. H. Poincaré Probab. Statist. 47 (2011), no. 1, 9--19. doi:10.1214/09-AIHP348.

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