p-adic analysis in Geometry and in the Mathematical Modelling of the Built Environment

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It is the goal to develop p-adic analytic methods and apply them to various problems in geometry and the mathematical modelling of the built environment.


Hearing shapes via p -adic Laplacians
Bradley, P. E.; Ledezma, Á. M.
2023. Journal of Mathematical Physics, 64 (11), Art.-Nr. 113502. doi:10.1063/5.0152374
Heat Equations and Wavelets on Mumford Curves and Their Finite Quotients
Bradley, P. E.
2023. Journal of Fourier Analysis and Applications, 29 (5), Art.-Nr.: 62. doi:10.1007/s00041-023-10046-y
p-Adic Wave Equations on Finite Graphs and T 0-Spaces
Bradley, P. E.
2021. Advances in Non-Archimedean Analysis and Applications. Hrsg.: W. A. Zúñiga-Galindo, Bourama Toni, 275–295, Springer International Publishing. doi:10.1007/978-3-030-81976-7_8
Generalised Diffusion on Moduli Spaces of p-Adic Mumford Curves
Bradley, P. E.
2020. P-adic numbers, ultrametric analysis, and applications, 12 (2), 73–89. doi:10.1134/S2070046620020016