4 papers
On the proportion of transverse-free plane curves
Shamil Asgarli, Brian Freidin
We study the asymptotic proportion of smooth plane curves over a finite field which are tangent to every line defined over . This partially answers a q…
Harmonic maps between ideal 2-dimensional simplicial complexes
Brian Freidin, Victòria Gras Andreu
We prove existence and regularity results for energy minimizing maps between ideal hyperbolic 2-dimensional simplicial complexes. The spaces in question were introduced by Charitos…
Area Bounds for Free Boundary Minimal Surfaces in a Geodesic Ball in the Sphere
Brian Freidin, Peter McGrath
We extend to higher dimensions earlier sharp bounds for the area of two dimensional free boundary minimal surfaces contained in a geodesic ball of the round sphere. This follows wo…
A Liouville-type theorem and Bochner formula for harmonic maps into metric spaces
Brian Freidin, Yingying Zhang
We study analytic properties of harmonic maps from Riemannian polyhedra into CAT() spaces for . Locally, on each top-dimensional face of the domain, this amounts to…