Analysis of Contagion Maps on a Class of Networks That Are Spatially Embedded in a Torus

DOI10.1137/18M1235910zbMath1467.91120arXiv1812.09806MaRDI QIDQ5002512

Barbara I. Mahler

Publication date: 27 July 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09806

zbMATH Keywords

spatial networkstopological data analysismanifold learningspreading dynamicscontagions

Mathematics Subject Classification ID

Epidemiology (92D30) Social networks; opinion dynamics (91D30) Small world graphs, complex networks (graph-theoretic aspects) (05C82) Persistent homology and applications, topological data analysis (55N31)

Cites Work

• Mathematics of epidemics on networks. From exact to approximate models
• Networks beyond pairwise interactions: structure and dynamics
• Dynamical systems on networks. A tutorial
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Epidemic thresholds and vaccination in a lattice model of disease spread
• Morphogenesis of spatial networks
• Complex Contagions in Kleinberg's Small World Model
• The small-world phenomenon
• A simple model of global cascades on random networks
• Networks
• Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
• Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
• Complex Spreading Phenomena in Social Systems

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