3 citations · 4 across the 5 of their papers we have counts for
5 papers
Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes
Henry Adams, Johnathan Bush, Nate Clause +13
We explore emerging relationships between the Gromov--Hausdorff distance, Borsuk--Ulam theorems, and Vietoris--Rips simplicial complexes. The Gromov--Hausdorff distance between two…
The Four Point Condition: An Elementary Tropicalization of Ptolemy's Inequality
Mario Gómez, Facundo Mémoli
Ptolemy's inequality is a classic relationship between the distances among four points in Euclidean space. Another relationship between six distances is the 4-point condition, an i…
Curvature Sets Over Persistence Diagrams
Mario Gómez, Facundo Mémoli
We study a family of invariants of compact metric spaces that combines the Curvature Sets defined by Gromov in the 1980s with Vietoris-Rips Persistent Homology. For given integers…
Group Structures on Families of Subsets of a Group
Mario Gómez, Sergio R. López-Permouth, Fernando Mazariegos +2
A binary operation on any set induces a binary operation on its subsets. We explore families of subsets of a group that become a group under the induced operation and refer to such…
Effects of Sfermion Mixing induced by RGE in the CMSSM
Mario E. Gómez, Sven Heinemeyer, Muhammad Rehman
Even within the Constrained Minimal Supersymmetric Standard Model (CMSSM) it is possible to induce sfermion flavor mixing through the Renormalization Group Equations (RGE) when the…