Patrick Erik Bradley

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20242026

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math.AG2026

Searching Schemes With $p$ -Adic Neumann Boundary Value Problems

Patrick Erik Bradley

Firstly, for branched covering maps $f : Y \to X$ between smooth, separated schemes of finite type over the integral ring $O_{K}$ of a non-archimedean local field $K$ , the ramific…

math.NT2026

Hearing Tamagawa Factors modulo $q - 1$

Patrick Erik Bradley

The Tamagawa factor w.r.t.\ the prime $p$ of an abelian variety $A$ over a non- archimedean local field $K$ is found to be congruent modulo $q - 1$ to the wavelet eigenvalues of a…

math.PR2026

$p$ -Adic Diffusion and Random Walks on $[0, 1]$

Patrick Erik Bradley, Paulina Halwas, Ell Ari Nitsche +1

Integral operators on the real unit interval are constructed as transported from ones on the $p$ -adic unit disc via the Monna map. This gives rise to strong Markov processes on $[0…

math.AP2026

Neumann Boundary Value Problems on $p$ -Adic Analytic Manifolds

Patrick Erik Bradley

Inspired by graph theory, Neumann Boundary Value Problems on $p$ -adic analytic manifold are formulated. Existence and uniqueness of weak solutions is proven in the ultracontractive…

math.NT2026

Boundary Value Problems on $p$ -Adic Analytic Manifolds

Patrick Erik Bradley

An account is given on newest developments on $p$ -adic boundary value problems on $p$ -adic analytic manifolds and their relationship with diffusion. In particular, novel coordinate…

Searching Schemes With p-Adic Neumann Boundary Value Problems

Hearing Tamagawa Factors modulo q−1

p-Adic Diffusion and Random Walks on [0,1]

Neumann Boundary Value Problems on p-Adic Analytic Manifolds

Boundary Value Problems on p-Adic Analytic Manifolds

Searching Schemes With $p$ -Adic Neumann Boundary Value Problems

Hearing Tamagawa Factors modulo $q - 1$

$p$ -Adic Diffusion and Random Walks on $[0, 1]$

Neumann Boundary Value Problems on $p$ -Adic Analytic Manifolds

Boundary Value Problems on $p$ -Adic Analytic Manifolds