English

A remainder estimate for branched rough differential equations

Probability 2023-01-23 v2 Classical Analysis and ODEs

Abstract

Based on two isomorphisms of Hopf algebras, we provide a bound in the optimal order on the remainder of the truncated Taylor expansion for controlled differential equations driven by branched rough paths.

Keywords

Cite

@article{arxiv.2109.10648,
  title  = {A remainder estimate for branched rough differential equations},
  author = {Danyu Yang},
  journal= {arXiv preprint arXiv:2109.10648},
  year   = {2023}
}
R2 v1 2026-06-24T06:12:46.753Z