3 papers
math.NT2025
Hearing the Serre invariant of a compact -adic analytic manifold
Patrick Erik Bradley, Ángel Morán Ledezma
Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact -adic analytic manifold , one such operator with $s\in\mathds{R}…
math.AP2025
Boundary Value Problems for p-Adic Elliptic Parisi-Zúñiga Diffusion
Patrick Erik Bradley
Elliptic integral-differential operators resembling the classical elliptic partial differential equations are defined over a compact d-dimensional p-adic domain together with assoc…
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…