5 papers · 1 filter
Geometry and biological processes
Tatyana Barron, Sarah Lanthier
We suggest a geometric approach to modeling biochemical processes, aiming at those processes that occur in humans with food sensitivities or chemical sensitivities.
Geometric signals
Tatyana Barron
In signal processing, a signal is a function. Conceptually, replacing a function by its graph, and extending this approach to a more abstract setting, we define a signal as a subma…
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…
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…
Semiclassical asymptotics and entropy
Tatyana Barron, Manimugdha Saikia
We study the entanglement of quantum states associated with submanifolds of Kaehler manifolds. As a motivating example, we discuss the semiclassical asymptotics of entanglement ent…