{"ID":2871438,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2509.11400","arxiv_id":"2509.11400","title":"Chow and Rashevskii meet Sobolev","abstract":"We prove a weak version of the Chow-Rashevskii theorem for vector fields having only Sobolev regularity and generating suitable flows as selections of solutions to the respective ODEs, for a.e.\\ initial datum.","short_abstract":"We prove a weak version of the Chow-Rashevskii theorem for vector fields having only Sobolev regularity and generating suitable flows as selections of solutions to the respective ODEs, for a.e.\\ initial datum.","url_abs":"https://arxiv.org/abs/2509.11400","url_pdf":"https://arxiv.org/pdf/2509.11400v1","authors":"[\"Sergey Kryzhevich\",\"Eugene Stepanov\",\"Dario Trevisan\"]","published":"2025-09-14T19:27:07Z","proceeding":"math.DS","tasks":"[\"math.DS\",\"math.AP\",\"math.OC\"]","methods":"[]","has_code":false}