The persistence of large scale structures. Part I. Primordial non-Gaussianity

  title={The persistence of large scale structures. Part I. Primordial non-Gaussianity},
  author={Matteo Biagetti and Alex Cole and G. Shiu},
  journal={Journal of Cosmology and Astroparticle Physics},
We develop an analysis pipeline for characterizing the topology of large scale structure and extracting cosmological constraints based on persistent homology. Persistent homology is a technique from topological data analysis that quantifies the multiscale topology of a data set, in our context unifying the contributions of clusters, filament loops, and cosmic voids to cosmological constraints. We describe how this method captures the imprint of primordial local non-Gaussianity on the late-time… Expand
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We present a pipeline for characterizing and constraining initial conditions in cosmology via persistent homology. The cosmological observable of interest is the cosmic web of large scale structure,Expand
Topological Echoes of Primordial Physics in the Universe at Large Scales
Throughout this pipeline, the interpretability of topological features as input for statistical inference allows us to make contact with previous first-principles calculations and make new predictions. Expand


3D alpha shapes
  • CGAL User and Reference Manual, CGAL Editorial Board
  • 2019
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