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math.AP2024
Local ultrametric approximation of graph distance based Laplacian diffusion
Patrick Erik Bradley
The error estimation for eigenvalues and eigenvectors of a small positive symmetric perturbation on the spectrum of a graph Laplacian is related to Gauß hypergeometric functions. B…
cs.IR2024
On the Local Ultrametricity of Finite Metric Data
Patrick Erik Bradley
New local ultrametricity measures for finite metric data are proposed through the viewpoint that their Vietoris-Rips corners are samples from p-adic Mumford curves endowed with a R…
math.AP2024
Topological Applications of p-Adic Divergence and Gradient Operators
Patrick Erik Bradley
-Adic divergence and gradient operators are constructed giving rise to -adic vertex Laplacian operators used by Zúñiga in order to study Turing patterns on graphs, as well as…