Dirac signal processing of higher-order topological signals

DOI10.1088/1367-2630/ACF33CMaRDI QIDQ6559571

Michael T. Schaub, Lucille Calmon, Ginestra Bianconi

Publication date: 21 June 2024

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

zbMATH Keywords

signal processingdiscrete Dirac operatorhigher-order networkstopological signals

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX) Relativity and gravitational theory (83-XX)

Cites Work

• First order approach and index theorems for discrete and metric graphs
• Networks beyond pairwise interactions: structure and dynamics
• Discrete Calculus
• The Why, How, and When of Representations for Complex Systems
• Higher-Order Networks
• Signal Processing on Simplicial Complexes
• Topological Signal Processing Over Simplicial Complexes
• Random Walks on Simplicial Complexes and the Normalized Hodge 1-Laplacian
• Hodge Laplacians on Graphs
• Dirac gauge theory for topological spinors in 3+1 dimensional networks
• Balanced Hodge Laplacians optimize consensus dynamics over simplicial complexes
• Local Dirac synchronization on networks

Related Items (3)

Quantum entropy couples matter with geometry ⋮ Complex quantum networks: a topical review ⋮ Persistent Dirac of paths on digraphs and hypergraphs

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