3 papers
math.PR2026
-Adic Diffusion and Random Walks on
Patrick Erik Bradley, Paulina Halwas, Ell Ari Nitsche +2
Integral operators on the real unit interval are constructed as transported from ones on the -adic unit disc via the Monna map. This gives rise to strong Markov processes on $[0…
math.NT2025
Hearing the Serre invariant of a compact -adic analytic manifold
Patrick Erik Bradley, Ãngel 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…
cs.DM2024
Approximating Diffusion on Finite Multi-Topology Systems Using Ultrametrics
Patrick Erik Bradley, Angel Alfredo Moran Ledezma
Motivated by multi-topology building and city model data, first a lossless representation of multiple -topologies on a given finite set by a vertex-edge-weighted graph is give…