22 citations · 119 across the 22 of their papers we have counts for
22 papers
Hearing Shapes via p-Adic Laplacians
Patrick Erik Bradley, Ángel Morán Ledezma
For a finite graph, a spectral curve is constructed as the zero set of a two-variate polynomial with integer coefficients coming from p-adic diffusion on the graph. It is shown tha…
Generalised diffusion on moduli spaces of -adic Mumford curves
Patrick Erik Bradley
A construction of a pseudo-differential operator on non-archimedean local fields invariant under a finite group action is given together with the solution of the corresponding Cauc…
A scaled space-filling curve index applied to tropical rain forest tree distributions
Markus Wilhelm Jahn, Patrick Erik Bradley
In order to be able to process the increasing amount of spatial data, efficient methods for their handling need to be developed. One major challenge for big spatial data is access.…
p-Adic scaled space filling curve indices for high dimensional data
Patrick Erik Bradley, Markus Wilhelm Jahn
Space filling curves are widely used in Computer Science. In particular Hilbert curves and their generalisations to higher dimension are used as an indexing method because of their…
A Divide-And-Conquer Method for computing the Betti numbers of Finite Topological Spaces
Patrick Erik Bradley
A divide-and-conquer algorithm for computing the Betti numbers of finite -spaces is presented. It extensively uses the Mayer-Vietoris sequence for open coverings. In the end,…
Homology of Finite Topological Spaces
Patrick Erik Bradley
A new method is given for computing generators of the homology groups with integer coefficients for any finite -space. An important role in this method is played by irreducibl…