Generalised diffusion on moduli spaces of \(p\)-adic Mumford curves

DOI10.1134/S2070046620020016zbMath1457.35097arXiv1910.06207MaRDI QIDQ779741

Patrick Erik Bradley

Publication date: 14 July 2020

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.06207

zbMATH Keywords

Gerritzen-Herrlich Teichmüller spacereduction graphs of Mumford curves

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Local ground fields in algebraic geometry (14G20) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Pseudodifferential operators (47G30) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (3)

p-Adic Wave Equations on Finite Graphs and T 0-Spaces ⋮ Ultrametric diffusion, rugged energy landscapes and transition networks ⋮ Heat equations and wavelets on Mumford curves and their finite quotients

Cites Work

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• Pseudodifferential equations over non-Archimedean spaces
• Non-Archimedean strings and Bruhat-Tits trees
• Zur analytischen Beschreibung des Raumes der Schottky-Mumford-Kurven
• Schottky groups and Mumford curves
• Multiloop calculations in p-adic string theory and Bruhat-Tits trees
• Fourier Analysis on Local Fields. (MN-15)
• Ultrametric Pseudodifferential Equations and Applications

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