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Algebraic Topology

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arxiv 1304.7846 v2 pith:EGZTBJK4 submitted 2013-04-30 math-ph cs.CGmath.ATmath.MP

Vanessa Robins This is my paper · ORCID
classification math-phcs.CGmath.ATmath.MP
keywords algebraictopologyapplicationsbasicbriefchaptercomputationalconcepts
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The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences. It finishes with a brief review of computational work in algebraic topology, including persistent homology.

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  1. Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams

    astro-ph.CO 2019-08 conditional novelty 5.0 of 10

    The paper introduces a Morse-graph formalism that yields approximate, one-parameter-fitted formulas for expected Betti numbers of 2D Gaussian random fields and shows these homology statistics are sensitive to local no...

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