p-adic analysis in Geometry and in the Mathematical Modelling of the Built Environment
- startdate:
2019
Summary
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.
Publications
On the Local Ultrametricity of Finite Metric Data
Bradley, P. E.
2025. Journal of classification. doi:10.1007/s00357-025-09508-3
Bradley, P. E.
2025. Journal of classification. doi:10.1007/s00357-025-09508-3
Topological applications of p -adic divergence and gradient operators
Bradley, P. E.
2025. Journal of Mathematical Physics, 66 (2). doi:10.1063/5.0228152
Bradley, P. E.
2025. Journal of Mathematical Physics, 66 (2). doi:10.1063/5.0228152
Schottky-Invariant p-Adic Diffusion Operators
Bradley, P. E.
2025. Journal of Fourier Analysis and Applications, 31 (1), 8. doi:10.1007/s00041-024-10139-2
Bradley, P. E.
2025. Journal of Fourier Analysis and Applications, 31 (1), 8. doi:10.1007/s00041-024-10139-2
Theta-induced diffusion on Tate elliptic curves over nonarchimedean local fields
Bradley, P. E.
2025. Pacific journal of mathematics, 334 (1), 13–42. doi:10.2140/pjm.2025.334.13
Bradley, P. E.
2025. Pacific journal of mathematics, 334 (1), 13–42. doi:10.2140/pjm.2025.334.13
Geometry, Topology and p-Adic Numbers in Geospatial Data Modelling, Management and Processing: Review and Future Approaches
Bradley, P.; Jahn, M.; Breunig, M.; Al-Doori, M.; Stefanakis, E.; Kuper, P.
2024. ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, X-4-2024, 51–58. doi:10.5194/isprs-annals-X-4-2024-51-2024
Bradley, P.; Jahn, M.; Breunig, M.; Al-Doori, M.; Stefanakis, E.; Kuper, P.
2024. ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, X-4-2024, 51–58. doi:10.5194/isprs-annals-X-4-2024-51-2024
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
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
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
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
Bradley, P. E.
2020. P-adic numbers, ultrametric analysis, and applications, 12 (2), 73–89. doi:10.1134/S2070046620020016