Scaling limits for symmetric Itô-Lévy processes in random medium

Rémi Rhodes and Vincent Vargas

Stochastic Processes and their Applications, 2009, vol. 119, issue 12, 4004-4033

Abstract: We are concerned with scaling limits of solutions to stochastic differential equations with stationary coefficients driven by Poisson random measures and Brownian motions. We state an annealed convergence theorem, in which the limit exhibits a diffusive or superdiffusive behaviour, depending on the integrability properties of the Poisson random measure.

Keywords: Ito-Lévy; processes; Random; medium; Stochastic; homogenization; Scaling; limit; Integro-differential; operators; Ergodicity (search for similar items in EconPapers)
Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304-4149(09)00169-0
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:119:y:2009:i:12:p:4004-4033

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().