Patrick Erik Bradley

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math.AP2025

Diffusion operators on $p$ -adic analytic manifolds

Patrick Erik Bradley

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…

Diffusion operators on p-adic analytic manifolds

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

Diffusion operators on $p$ -adic analytic manifolds

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