2 citations · 2 across the 4 of their papers we have counts for
5 papers
On the distribution of distances in homogeneous compact metric spaces
Mark Herman, Jonathan Pakianathan
We provide a simple proof that in any homogeneous, compact metric space of diameter , if one finds the average distance achieved in with respect to some isometry invaria…
A note on the unit distance problem for planar configurations with Q-independent direction set
Mark Herman, Jonathan Pakianathan
Let denote the maximum number of unit distances that a set of points in the Euclidean plane can determine with the additional condition that the distinct…
On a canonical construction of tesselated surfaces via finite group theory, Part II
Mark Herman, Jonathan Pakianathan
This paper is the second part of a two-part study of an elementary functorial construction of tesselated surfaces from finite groups. This elementary construction was discussed in…
On a canonical construction of tesselated surfaces via finite group theory, Part I
Mark Herman, Jonathan Pakianathan, Ergun Yalcin
This paper is the first part in a 2 part study of an elementary functorial construction from the category of finite non-abelian groups to a category of singular compact, oriented 2…
A Born-Oppenheimer Expansion in a Neighborhood of a Renner-Teller Intersection
Mark S. Herman
We perform a rigorous mathematical analysis of the bending modes of a linear triatomic molecule that exhibits the Renner-Teller effect. Assuming the potentials are smooth, we prove…