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An It\^o-Wentzell formula for rough paths

Probability 2022-06-22 v1

Abstract

This article shows an It\^o-Wentzell type formula adapted to rough paths with α\alpha-H\"older regularity α(13,12]\alpha \in (\frac{1}{3},\frac{1}{2}]. We improve previous results of R. Castrequini and P. Catuogno for the Young integral and C. Keller and J. Zhang for rough paths.

Cite

@article{arxiv.2206.09905,
  title  = {An It\^o-Wentzell formula for rough paths},
  author = {Rafael A. Castrequini and Pedro J. Catuogno and Alvaro E. Machado Hernandez},
  journal= {arXiv preprint arXiv:2206.09905},
  year   = {2022}
}
R2 v1 2026-06-24T11:57:32.118Z