Convergence in law for certain additive functionals of symmetric stable processes under strong topology

DOI10.1016/j.crma.2005.02.013zbMath1067.60018OpenAlexW1983216526MaRDI QIDQ1773344

Mohamed Ait Ouahra

Publication date: 28 April 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.02.013

zbMATH Keywords

local time

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Stable stochastic processes (60G52) Local time and additive functionals (60J55)

Cites Work

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• \(p\)-variation of the local times of symmetric stable processes and of Gaussian processes with stationary increments
• Limit theorems for certain functionals associated to stable processes in a Hölder space
• Local times for a class of Markoff processes
• Weak convergence to fractional Brownian motion in some anisotropic Besov space
• Isomorphism of some anisotropic Besov and sequence spaces
• Un résultat d'approximation d'une EDPS hyperbolique en norme de Besov anisotropique
• On Convergence of Stochastic Processes

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