Theta-induced diffusion on Tate elliptic curves over nonarchimedean local fields

DOI10.2140/pjm.2025.334.13MaRDI QIDQ6656375

Patrick Erik Bradley

Publication date: 2 January 2025

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

theta functionLaplaciantorsion pointsTate curve\(p\)-adic diffusion

Mathematics Subject Classification ID

Elliptic curves (14H52) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The non-Archimedean stochastic heat equation driven by Gaussian noise
• Adèles and algebraic groups. (Appendix 1: The case of the group \(G_2\), by M. Demazure. Appendix 2: A short survey of subsequent research on Tamagawa numbers, by T. Ono)
• Smooth \(p\)-adic analytic spaces are locally contractible
• Rigid analytic geometry and its applications
• The wild McKay correspondence and \(p\)-adic measures
• Ultrametric diffusion, rugged energy landscapes and transition networks
• Eigen's paradox and the quasispecies model in a non-Archimedean framework
• Reaction-diffusion equations on complex networks and Turing patterns, via \(p\)-adic analysis
• Singular semipositive metrics in non-Archimedean geometry
• Fourier Analysis on Local Fields. (MN-15)
• Ultrametric Pseudodifferential Equations and Applications
• Wavelet theory as $ p$-adic spectral analysis
• Introduction to Berkovich Analytic Spaces
• Mesures et équidistribution sur les espaces de Berkovich
• Boundary value problems and Markov processes
• Hearing shapes viap-adic Laplacians
• Heat equations and wavelets on Mumford curves and their finite quotients
• Components and exit times of Brownian motion in two or more \(p\)-adic dimensions

This page was built for publication: Theta-induced diffusion on Tate elliptic curves over nonarchimedean local fields