• Corpus ID: 118823213

Multidimensional Stochastic Processes as Rough Paths: Theory and Applications

@inproceedings{Friz2010MultidimensionalSP,
  title={Multidimensional Stochastic Processes as Rough Paths: Theory and Applications},
  author={Peter K. Friz and Nicolas Victoir},
  year={2010}
}
Preface Introduction The story in a nutshell Part I. Basics: 1. Continuous paths of bounded variation 2. Riemann-Stieltjes integration 3. Ordinary differential equations (ODEs) 4. ODEs: smoothness 5. Variation and Holder spaces 6. Young integration Part II. Abstract Theory of Rough Paths: 7. Free nilpotent groups 8. Variation and Holder spaces on free groups 9. Geometric rough path spaces 10. Rough differential equations (RDEs) 11. RDEs: smoothness 12. RDEs with drift and other topics Part III… 
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  • T. Cass, Nengli Lim
  • Mathematics
    Annales de l'Institut Henri Poincaré, Probabilités et Statistiques
  • 2021
. Given a solution Y to a rough differential equation (RDE), a recent result ( Ann. Probab. 47 (2019) 1–60) extends the classical Itô-Stratonovich formula and provides a closed-form expression for…
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