21 citations · 21 across the 3 of their papers we have counts for
6 papers
Equidistant sets on Alexandrov surfaces
Logan S. Fox, J. J. P. Veerman
We examine properties of equidistant sets determined by nonempty disjoint compact subsets of a compact 2-dimensional Alexandrov space (of curvature bounded below). The work here ge…
A Remarkable Summation Formula, Lattice Tilings, and Fluctuations
J. J. P. Veerman, L. S. Fox, P. J. Oberly
We derive and prove an explicit formula for the sum of the fractional parts of certain geometric series. Although the proof is straightforward, we have been unable to locate any re…
Statistics of a Family of Piecewise Linear Maps
J. J. P. Veerman, P. J. Oberly, L. S. Fox
We study statistical properties of the truncated flat spot map . In particular, we investigate whether for large , the deviations $\sum_{i=0}^{n-1} \left(f_t^i(x_0)-\fra…
One-Sided Derivative of Distance to a Compact Set
Logan S. Fox, Peter Oberly, J. J. P. Veerman
We give a complete and self-contained proof of a folklore theorem which says that in an Alexandrov space the distance between a point on a geodesic and a compact set …
Cosmological discordances III: more on measure properties, Large-Scale-Structure constraints, the Hubble constant and Planck
Cristhian Garcia-Quintero, Mustapha Ishak, Logan Fox +1
Consistency between cosmological data sets is essential for ongoing and future cosmological analyses. We first investigate the questions of stability and applicability of some mome…
ISiTGR: Testing deviations from GR at cosmological scales including dynamical dark energy, massive neutrinos, functional or binned parametrizations, and spatial curvature
Cristhian Garcia-Quintero, Mustapha Ishak, Logan Fox +1
We introduce a new version of the Integrated Software in Testing General Relativity (ISiTGR) which is a patch to the software CAMB and CosmoMC. ISiTGR is intended to test deviation…