English

Fractional smoothness and applications in finance

Probability 2010-04-22 v1 Risk Management

Abstract

This overview article concerns the notion of fractional smoothness of random variables of the form g(XT)g(X_T), where X=(Xt)t[0,T]X=(X_t)_{t\in [0,T]} is a certain diffusion process. We review the connection to the real interpolation theory, give examples and applications of this concept. The applications in stochastic finance mainly concern the analysis of discrete time hedging errors. We close the review by indicating some further developments.

Keywords

Cite

@article{arxiv.1004.3577,
  title  = {Fractional smoothness and applications in finance},
  author = {Stefan Geiss and Emmanuel Gobet},
  journal= {arXiv preprint arXiv:1004.3577},
  year   = {2010}
}

Comments

Chapter of AMAMEF book. 20 pages.

R2 v1 2026-06-21T15:12:51.603Z