Nonsmooth Hormander vector fields and their control balls

TL;DR

This paper establishes a ball-box theorem for nonsmooth Hormander vector fields of step s, advancing the understanding of their geometric control properties.

Contribution

It introduces a novel ball-box theorem applicable to nonsmooth Hormander vector fields, extending classical results to less regular settings.

Findings

Proves a ball-box theorem for nonsmooth vector fields

Extends geometric control theory to nonsmooth contexts

Provides tools for analysis of nonsmooth sub-Riemannian structures

Abstract

We prove a ball-box theorem for nonsmooth Hormander vector fields of step s.