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A note on time-dependent additive functionals

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Abstract

This note develops shortly the theory of non-homogeneous additive functionals and is a useful support for the analysis of time-dependent Markov processes and related topics. It is a significant tool for the analysis of Markovian BSDEs in law. In particular we extend to a non-homogeneous setup some results concerning the quadratic variation and the angular bracket of Martingale Additive Functionals (in short MAF) associated to a homogeneous Markov processes.

Original languageEnglish
Pages (from-to)313-334
Number of pages22
JournalCommunications on Stochastic Analysis
Volume11
Issue number3
DOIs
Publication statusPublished - 1 Jan 2017

Keywords

  • Additive functionals
  • Covariation
  • Markov processes

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