A.F. Filippov has developed a theory of dynamical systems that are governed by piecewise smooth vector fields [2]. It is mainly a local theory. In this article we concentrate on some of its globalâ€¦ (More)

In Kupka et al. 2006 appears the Focal Stability Conjecture: the focal decomposition of the generic Riemann structure on a manifold M is stable under perturbations of the Riemann structure. In thisâ€¦ (More)

Let %Â§(Mn , p.) denote the set of all homeomorphisms of a compact manifold M" that preserve a locally positive nonatomic Borel probability measure p. and are isotopic to the identity. The notion ofâ€¦ (More)