2022/01/29 by Youness Boutaib, Boutaib, Youness
Engineering · Mathematics · Social Sciences · #58J65 #60L20 #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Historical Geography and Cartography #math.CA #msc:58J65 #msc:60L20
paper · pdf · doi:10.48550/arxiv.2201.12541
arxiv created 2022/01/29 · openalex publication_date 2022/01/29 · arxiv updated 2022/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show how to use geometric arguments to prove that the terminal solution to a rough differential equation driven by a geometric rough path can be obtained by driving the same equation by a piecewise linear path. For this purpose, we combine some results of the seminal work of Sussmann on orbits of vector fields with the rough calculus on manifolds developed by Cass, Litterer and Lyons.