7 citations · 8 across the 7 of their papers we have counts for
5 papers · 1 filter
L1TV computes the flat norm for boundaries
Simon P. Morgan, Kevin R. Vixie
We show that the recently introduced L1TV functional can be used to explicitly compute the flat norm for co-dimension one boundaries. While this observation alone is very useful, o…
Harmonic Maps of Surfaces Approaching the Boundary of Moduli Space and Eliminating Bubbling
Simon P. Morgan
The limit of energies of a sequence of harmonic maps as their annular domains approach the boundary of moduli space depends upon the boundary point approached. The infinite energy…
Mixed Dimensional Compactness with Dimension Collapsing from Sn-1 Bundle Measures
Simon P. Morgan
We provide a measure based topology for certain unions of C2 rectifiable submanifolds of mixed dimensions in Rn. In this topology lower dimensional sets remain in the limit as meas…
An Improved Energy-Area Inequality for Harmonic Maps Using Image Curvature
Simon P Morgan
An ODE variational calculation shows that an image principle curvature ratio factor can raise the lower bound, 2(Image Area), on energy of a harmonic map of a surface into Rn. In c…
Constructing Piecewise Flat Pseudo-Manifolds with Minimal Pseudo-Foliations
Simon P Morgan
Piecewise Euclidean structures (identified solid Euclidean polyhedra) on topological 3-dimensional manifolds and pseudo-manifolds are constructed so that they admit pseudo-foliatio…