%0 Journal Article
%T On finsler entropy of smooth distributions and Stefan-Sussman foliations
%A F. Pelletier
%J Mathematics
%D 2015
%I arXiv
%X Using the definition of entropy of a family of increasing distances on a compact metric set given in [10] we introduce a notion of Finsler entropy for smooth distributions and Stefan-Sussmann foliations. This concept generalizes most of classical topological entropy on a compact Riemannian manifold : the entropy of a flow ([9]), of a regular foliation ([11]), of a regular distribution ([5]) and of a geometrical structure ([22]). The essential results of this paper is the nullity of the Finsler entropy for a controllable distribution and for a singular Riemannian foliation.
%U http://arxiv.org/abs/1506.03205v1