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math.NT2024
Schottky invariant diffusion on the transcendent p-adic upper half plane
Patrick Erik Bradley
The transcendent part of the Drinfeld p-adic upper half plane is shown to be a Polish space. Using Radon measures associated with regular differential 1-forms invariant under Schot…
cs.DM2024
Approximating Diffusion on Finite Multi-Topology Systems Using Ultrametrics
Patrick Erik Bradley, Angel Alfredo Moran Ledezma
Motivated by multi-topology building and city model data, first a lossless representation of multiple -topologies on a given finite set by a vertex-edge-weighted graph is give…
math.AP2024
A non-autonomous p-Adic diffusion equation on time changing graphs
Patrick Erik Bradley, Ángel Morán Ledezma
Motivated by the recently proven presence of ultrametricity in physical models (certain spin glasses) and the very recent study of Turing patterns on locally ultrametric state spac…