11 citations · 34 across the 24 of their papers we have counts for
26 papers
Pade Approximants for Geodesy
Ovidiu Costin, Gerald V. Dunne, Crichton Ogle
In this note we analyze the use of Padé approximants for downward continuation beyond the radius of convergence of spherical harmonic expansions (SHEs), and for identifying the com…
The Uniform Homotopy Category
Sanjeevi Krishnan, Crichton Ogle
This paper gives a uniform-theoretic refinement of classical homotopy theory. Both cubical sets (with connections) and uniform spaces admit classes of weak equivalences, special ca…
On the chromatic localization of the homotopy completion tower for -algebras
Crichton Ogle, Nikolas Schonsheck
The completion tower of a nonunital commutative ring is a classical construction in commutative algebra. In the setting of structured ring spectra as modeled by algebras over a spe…
On the domain of convergence of spherical harmonic expansions
O. Costin, R. D. Costin, C. Ogle +1
Spherical harmonic expansions (SHEs) play an important role in most of the physical sciences, especially in physical geodesy. Despite many decades of investigation, the large order…
Non-convergence of the spherical harmonic expansion of gravitational potential below the Brillouin sphere; the continuous case
C. Ogle, O. Costin, M. Bevis
For a singleton planet with gravitational potential , we show that for each there exists a planet with gravitational potential , with "$…
Invertibility in Category Representations
Sanjeevi Krishnan, Crichton Ogle
Inverse categories are categories in which every morphism x has a unique pseudo-inverse y in the sense that xyx=x and yxy=y. Persistence modules from topological data analysis and…