Dr. rer. nat. Patrick Erik Bradley

Dr. rer. nat. Patrick Erik Bradley

Meine google site https://sites.google.com/view/pebsite/home

Aktuelle Forschungsprojekte

Verteilte Simulation von Prozessen in Bauwerken und Stadtmodellen https://www.ipf.kit.edu/forschung_1900.php

p-Adic Analysis in Geometry and in the Mathematical Modelling of the Built Environment https://www.ipf.kit.edu/forschung_1712.php

Topologisch konsistentes Modellieren im raumzeitlichen Kontext mit bewegten Objekten im Stadtmodell https://www.ipf.kit.edu/forschung_topo_kons_model.php

Publikationsliste


Approximating Diffusion on Finite Multi-Topology Systems Using Ultrametrics
Bradley, P. E.; Ledezma, A. M.
2024. arxiv. doi:10.48550/arXiv.2411.00806
Boundary Value Problems on p-Adic Analytic Manifolds
Bradley, P. E.
2026. arxiv. doi:10.48550/arXiv.2605.16590
p-Adic Diffusion and Random Walks on [0,1]
Bradley, P. E.; Halwas, P.; Nitsche, E.; Ledezma, A. M.
2026. arxiv. doi:10.48550/arXiv.2608.02103
Hearing Tamagawa Factors modulo q-1
Bradley, P. E.
2026. arxiv. doi:10.5445/IR/1000198772
Neumann Boundary Value Problems on p-Adic Analytic Manifolds
Bradley, P. E.
2026. arxiv. doi:10.5445/IR/1000198771
Searching Schemes With p-Adic Neumann Boundary Value Problems
Bradley, P. E.
2026. arxiv. doi:10.5445/IR/1000198770
Hearing the Serre Invariant of a Compact p ‐Adic Analytic Manifold
Bradley, P. E.; Ledezma, Á. M.
2026. Mathematische Nachrichten, 299 (10), 3126–3138. doi:10.1002/mana.70232
Diffusion Operators on p-adic Analytic Manifolds
Bradley, P. E.
2026. Results in Mathematics, 81 (5), Art.Nr: 129. doi:10.1007/s00025-026-02690-9
Local ultrametric approximation of graph distance based Laplacian diffusion
Bradley, P. E.
2026. Reports on Mathematical Physics, 97 (1), 115–142. doi:10.1016/S0034-4877(26)00013-3
Boundary Value Problems for p-Adic Elliptic Parisi-Zúñiga Diffusion
Bradley, P. E.
2026. Journal of Pseudo-Differential Operators and Applications, 17 (1), 9. doi:10.1007/s11868-025-00760-0
Heat Equations and Hearing the Genus on p-adic Mumford Curves via Automorphic Forms
Bradley, P. E.
2025. Moscow Mathematical Journal, 25 (4), 447–478. doi:10.17323/1609-4514-2025-25-4-447-478
Vladimirov–Pearson operators on ‐regular ultrametric Cantor sets
Bradley, P. E.
2025. Mathematische Nachrichten, 298 (12), 3779–3790. doi:10.1002/mana.70066
Schottky invariant diffusion on the transcendent p -adic upper half plane
Bradley, P. E.
2026. Nonlinear Analysis, 263, Article no: 113947. doi:10.1016/j.na.2025.113947
A non-autonomous p-adic diffusion equation on time changing graphs
Bradley, P. E.; Ledezma, Á. M.
2025. Reports on Mathematical Physics, 95 (2), 155–180. doi:10.1016/S0034-4877(25)00023-0
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
Topological Access Methods for Spatial and Spatiotemporal Data
Jahn, M. W.; Bradley, P. E.
2022. ISPRS International Journal of Geo-Information, 11 (10), 533. doi:10.3390/ijgi11100533
A Robustness Study for the Extraction of Watertight Volumetric Models from Boundary Representation Data
Jahn, M. W.; Bradley, P. E.
2022. ISPRS International Journal of Geo-Information, 11 (4), Artk.Nr.: 224. doi:10.3390/ijgi11040224
Computing watertight volumetric models from boundary representations to ensure consistent topological operations
Jahn, M. W.; Bradley, P. E.
2021. ISPRS annals, VIII-4/W2-2021, 21–28. doi:10.5194/isprs-annals-VIII-4-W2-2021-21-2021
On the Behaviour of p-Adic Scaled Space Filling Curve Indices for High-Dimensional Data
Bradley, P. E.; Jahn, M. W.
2022. The computer journal, 65 (2), 310–330. doi:10.1093/comjnl/bxaa036
Geospatial Data Management Research: Progress and Future Directions
Breunig, M.; Bradley, P. E.; Jahn, M.; Kuper, P.; Mazroob, N.; Rösch, N.; Al-Doori, M.; Stefanakis, E.; Jadidi, M.
2020. ISPRS International Journal of Geo-Information, 9 (2), 95. doi:10.3390/ijgi9020095
Comparing G-maps with other topological data structures
Bradley, P. E.; Paul, N.
2014. Geoinformatica, 18 (3), 595–620. doi:10.1007/s10707-013-0191-1
Eine Erweiterung des Relationalen Modells zur Repräsentation räumlichen Wissens
Paul, N.; Bradley, P. E.
2014. Datenbank-Spektrum, 14 (3), 223–235. doi:10.1007/s13222-014-0163-0
Integrating Space, Time, Version, and Scale using Alexandrov Topologies
Paul, N.; Bradley, P. E.
2015. International journal of 3-D information modeling, 4 (4), 64–85. doi:10.4018/IJ3DIM.2015100104
Topologically Consistent Models for Efficient Big Geo-Spatio-Temporal Data Distribution
Jahn, M. W.; Bradley, P. E.; Al Doori, M.; Breunig, M.
2017. ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 12th 3D Geoinfo Conference 2017, Melbourne, Australia, 26th - 27th October 2017, 65–72, Copernicus Publications. doi:10.5194/isprs-annals-IV-4-W5-65-2017
Integrating Space, Time, Version and Scale Using Alexandrov Topologies [Preprint]
Paul, N.; Bradley, P. E.; Breunig, M.
2013. arXiv [cs.DB], arXiv:1303.2595