27 citations · 82 across the 10 of their papers we have counts for
10 papers
On Multifractionality of Spherical Random Fields with Cosmological Applications
Phil Broadbridge, Ravindi Nanayakkara, Andriy Olenko
This paper studies random fields on the unit sphere. Traditionally, isotropic Gaussian random fields are considered as the underlying statistical model of the cosmic microwave back…
Analytical model of infiltration under constant surface ponding
Dimetre Triadis, Philip Broadbridge
An analytical solution of the nonlinear Richards equation is presented, for one-dimensional infiltration into a soil of uniform initial moisture content subject to a constant depth…
Spherically Restricted Random Hyperbolic Diffusion
Philip Broadbridge, Alexander D. Kolesnik, Nikolai Leonenko +2
This paper investigates solutions of hyperbolic diffusion equations in with random initial conditions. The solutions are given as spatial-temporal random fields. The…
Non-particulate Klein-Gordon modes formed by inflation
Philip Broadbridge, Kathryn Deutscher
In a full solution for a scalar quantum field coupled to an accelerating isotropic universe, all constituent non-autonomous modes of elementary excitation cease to oscillate and be…
Fast Tensor Needlet Transforms for Tangent Vector Fields on the Sphere
Ming Li, Philip Broadbridge, Andriy Olenko +1
This paper constructs a semi-discrete tight frame of tensor needlets associated with a quadrature rule for tangent vector fields on the unit sphere of …
Random spherical hyperbolic diffusion
Phil Broadbridge, Alexander D. Kolesnik, Nikolai Leonenko +1
The paper starts by giving a motivation for this research and justifying the considered stochastic diffusion models for cosmic microwave background radiation studies. Then it deriv…