Patrick Erik Bradley

collaborators

3 papers

math.AP2025

Diffusion operators on $p$ -adic analytic manifolds

Kernel functions for Laplacian integral operators are constructed on $p$ -adic analytic manifolds using charts and transition maps from an atlas with connected nerve complex. In the…

math.AP2025

Vladimirov-Pearson Operators on $I^¶$ -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…

math.NT2024

Theta-Induced Diffusion on Tate Elliptic Curves over Non-Archimedean Local Fields

Patrick Erik Bradley

A diffusion operator on the $K$ -rational points of a Tate elliptic curve $E_{q}$ is constructed, where $K$ is a non-archimedean local field, as well as an operator on the Berkovich-a…

Diffusion operators on p-adic analytic manifolds

Vladimirov-Pearson Operators on I^¶-regular Ultrametric Cantor Sets

Theta-Induced Diffusion on Tate Elliptic Curves over Non-Archimedean Local Fields

Diffusion operators on $p$ -adic analytic manifolds

Vladimirov-Pearson Operators on $I^¶$ -regular Ultrametric Cantor Sets