A matchbox manifold is a foliated space with totally disconnected transversals, and an
equicontinuous matchbox manifold is the generalization of Riemannian foliations for smooth …

A weak solenoid is a foliated space defined as the inverse limit of finite coverings of a closed
compact manifold $ M $. The monodromy of a weak solenoid defines an equicontinuous …

In this work, we investigate the dynamical and geometric properties of weak solenoids, as
part of the development of a “calculus of group chains” associated to Cantor minimal actions …

Matchbox manifolds are foliated spaces with totally disconnected transversals. Two
matchbox manifolds which are homeomorphic have return equivalent dynamics, so that …

We study irreducible Smale spaces with totally disconnected stable sets and their
associated-theoretic invariants of Cuntz–Pimsner algebras are then studied using the Cuntz …

In this paper we find smooth embeddings of solenoids in smooth foliations. We show that if a
smooth foliation F of a manifold M contains a compact leaf L with H 1 (L; R) not equal to 0 …

This is a collection of problems from the theory of foliations and related areas, proposed by
the participants in the conference “Foliations 2012” held in Lodz, Poland during June 25–30 …

The study of foliation dynamics seeks to understand the asymptotic properties of leaves of
foliated manifolds, their statistical properties such as orbit growth rates and geometric …

We study a class of graph foliated spaces, or graph matchbox manifolds, initially constructed
by Kenyon and Ghys. For graph foliated spaces we introduce a quantifier of dynamical …

In this thesis, we consider the class of minimal equicontinuous Cantor dynamical systems.
We show that every such system can be represented by a group chain inverse limit system …