3 papers
math.DS2026
On the spectrum of non-ergodic measures
Michael Francis, Christopher Ramsey, Nicolae Strungaru
Consider a topological dynamical system where the group is abelian and the topologies are locally compact and second-countable. Given an invariant measure for this system, we show…
math.DG2023
On Automorphisms of Complex -Manifolds
Tatyana Barron, Michael Francis
The -calculus of Melrose is a tool for studying structures on a smooth manifold with a first order degeneracy at a given hypersurface. In this framework, Mendoza defined complex…
math.DG2023
The Newlander-Nirenberg theorem for complex -manifolds
Tatyana Barron, Michael Francis
Melrose defined the b-tangent bundle of a smooth manifold M with boundary as the vector bundle whose sections are vector fields on M tangent to the boundary. Mendoza defined a comp…