Continuum versus discrete networks, graph Laplacians, and reproducing kernel Hilbert spaces

DOI10.1016/j.jmaa.2018.09.035zbMath1397.05176OpenAlexW2893453651WikidataQ129201923 ScholiaQ129201923MaRDI QIDQ1799154

Erin P. J. Pearse, Palle E. T. Jorgensen

Publication date: 18 October 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.09.035

zbMATH Keywords

Markov chainmachine learningreproducing kernel Hilbert spacegraph Laplaciancontinuum networkinduced signed measure

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)

Related Items (7)

Harmonic analysis invariants for infinite graphs via operators and algorithms ⋮ Symmetric Measures, Continuous Networks, and Dynamics ⋮ Harmonic analysis on graphs via Bratteli diagrams and path-space measures ⋮ Higher Order Difference Operators and Associated Relative Reproducing Kernel Hilbert Spaces ⋮ Decomposition of Gaussian processes, and factorization of positive definite kernels ⋮ Harmonic analysis of network systems via kernels and their boundary realizations ⋮ The semicircular law of free probability as noncommutative multivariable operator theory

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