5 citations · 6 across the 4 of their papers we have counts for
4 papers
Diffusion operators on -adic analytic manifolds
Patrick Erik Bradley
Kernel functions for Laplacian integral operators are constructed on -adic analytic manifolds using charts and transition maps from an atlas with connected nerve complex. In the…
Vladimirov-Pearson Operators on -regular Ultrametric Cantor Sets
Patrick Erik Bradley
A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta fun…
Heat Equations and Hearing the Genus on p-adic Mumford Curves via Automorphic Forms
Patrick Erik Bradley
A self-adjoint operator is constructed on the -functions on the -rational points of a Mumford curve defined over a non-archimedean local field . It generates…
Theta-Induced Diffusion on Tate Elliptic Curves over Non-Archimedean Local Fields
Patrick Erik Bradley
A diffusion operator on the -rational points of a Tate elliptic curve is constructed, where is a non-archimedean local field, as well as an operator on the Berkovich-a…