Hearing shapes viap-adic Laplacians

DOI10.1063/5.0152374arXiv2303.00833OpenAlexW4388413644MaRDI QIDQ6064816

Patrick Erik Bradley, Unnamed Author

Publication date: 11 December 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.00833

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Inverse problems for PDEs (35R30) Diffusion processes (60J60) Relations of low-dimensional topology with graph theory (57M15) Graph theory (05C99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On coefficients of the characteristic polynomial of the Laplace matrix of a weighted digraph and the all minors theorem
• Analytic perturbation theory for matrices and operators. Licensed ed
• A certain polynomial of a graph and graphs with an extremal number of trees
• Which graphs are determined by their spectrum?
• Rigid analytic geometry and its applications
• Reaction-diffusion equations on complex networks and Turing patterns, via \(p\)-adic analysis
• Methods and applications of ultrametric and \(p\)-adic analysis: from wavelet theory to biophysics
• \(p\)-adic pseudodifferential operators and \(p\)-adic wavelets
• Can one hear the spanning trees of a quantum graph?
• Replica symmetry breaking and the nature of the spin glass phase
• Can one hear the shape of a graph?
• Isospectral genus two graphs are isomorphic
• One cannot hear the shape of a drum
• Ultrametric Pseudodifferential Equations and Applications
• Wavelet theory as $ p$-adic spectral analysis
• Isospectral graphs with identical nodal counts
• Can One Hear the Shape of a Drum?
• Heat equations and wavelets on Mumford curves and their finite quotients

This page was built for publication: Hearing shapes viap-adic Laplacians