7 citations · 11 across the 4 of their papers we have counts for
4 papers
Statistics of Peaks in Chi-Squared Fields
Jolyon K. Bloomfield, Stephen H. P. Face, Alan H. Guth +2
Chi-squared random fields arise naturally from the study of fluctuations in field theories with SO(n) symmetry. The extrema of chi-squared fields are of particular physical interes…
Indefinite Integrals of Spherical Bessel Functions
Jolyon K. Bloomfield, Stephen H. P. Face, Zander Moss
Highly oscillatory integrals, such as those involving Bessel functions, are best evaluated analytically as much as possible, as numerical errors can be difficult to control. We inv…
Number Density of Peaks in a Chi-Squared Field
Jolyon K. Bloomfield, Stephen H. P. Face, Alan H. Guth +3
We investigate the statistics of stationary points in the sum of squares of Gaussian random fields, which we call a "chi-squared" field. The behavior of such a field at a point…
Formalism for Primordial Black Hole Formation in Spherical Symmetry
Jolyon Bloomfield, Daniel Bulhosa, Stephen Face
We present a comprehensive formalism for the description of primordial black hole formation in spherical symmetry based on the formalisms of Misner, Sharp, and Hernandez, which can…