Asymptotic expansions for SDE's with small multiplicative noise

  • Sergio Albeverio*
  • , Boubaker Smii
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

Asymptotic expansions are derived as power series in a small coefficient entering a nonlinear multiplicative noise and a deterministic driving term in a nonlinear evolution equation. Detailed estimates on remainders are provided.

Original languageEnglish
Pages (from-to)1009-1031
Number of pages23
JournalStochastic Processes and their Applications
Volume125
Issue number3
DOIs
StatePublished - Mar 2015

Bibliographical note

Publisher Copyright:
© 2014 Elsevier B.V.

Keywords

  • Asymptotic expansions
  • Evolution equations
  • Lévy noise
  • Processes driven by multiplicative
  • SDEs

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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