Persistent homology of signed-distance filtrations correlates with and can classify the hyperuniform character of scalar fields, demonstrated on Cahn-Hilliard patterns and Gaussian random fields.
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A topological approach to the Cahn-Hilliard equation and hyperuniform fields
Persistent homology of signed-distance filtrations correlates with and can classify the hyperuniform character of scalar fields, demonstrated on Cahn-Hilliard patterns and Gaussian random fields.