English

Chaos processes as rough paths

Probability 2023-03-17 v1

Abstract

In this article we investigate the rough paths structure of a process XtX_t living in a fixed Wiener chaos. Specifically, we formulate various types of rough lifts of XtX_t and study their properties. As application, we study the integrabilities of quantities related to rough differential equations driven by XtX_t.

Cite

@article{arxiv.2303.09016,
  title  = {Chaos processes as rough paths},
  author = {Guang Yang},
  journal= {arXiv preprint arXiv:2303.09016},
  year   = {2023}
}

Comments

34 pages

R2 v1 2026-06-28T09:19:38.583Z