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

@article{Biagetti2020ThePO,
  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},
  year={2020},
  volume={2021}
}
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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References

SHOWING 1-10 OF 112 REFERENCES
3D alpha shapes
  • CGAL User and Reference Manual, CGAL Editorial Board
  • 2019
Geometric Inference for Probability Measures
TLDR
Replacing compact subsets by measures, a notion of distance function to a probability distribution in ℝd is introduced and it is shown that it is possible to reconstruct offsets of sampled shapes with topological guarantees even in the presence of outliers. Expand
The Persistence of Large Scale Structure II: Cosmological Parameters
  • to appear .
Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Cosmological implications from two decades of spectroscopic surveys at the Apache Point Observatory
We present the cosmological implications from final measurements of clustering using galaxies, quasars, and Ly$\alpha$ forests from the completed Sloan Digital Sky Survey (SDSS) lineage ofExpand
Cosmological constraints from BOSS with analytic covariance matrices
We use analytic covariance matrices to carry out a full-shape analysis of the galaxy power spectrum multipoles from the Baryon Oscillation Spectroscopic Survey (BOSS). We obtain parameter estimatesExpand
Cosmological parameters and neutrino masses from the final Planck and full-shape BOSS data
We present a joint analysis of the Planck cosmic microwave background (CMB) and Baryon Oscillation Spectroscopic Survey (BOSS) final data releases. A key novelty of our study is the use of a newExpand
Persistent homology in cosmic shear: Constraining parameters with topological data analysis
In recent years, cosmic shear has emerged as a powerful tool to study the statistical distribution of matter in our Universe. Apart from the standard two-point correlation functions, severalExpand
Planck 2018 results
Author(s): Aghanim, N; Akrami, Y; Ashdown, M; Aumont, J; Baccigalupi, C; Ballardini, M; Banday, AJ; Barreiro, RB; Bartolo, N; Basak, S; Battye, R; Benabed, K; Bernard, JP; Bersanelli, M; Bielewicz,Expand
The completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: geometry and growth from the anisotropic void-galaxy correlation function in the luminous red galaxy sample
We present an analysis of the anisotropic redshift-space void-galaxy correlation in configuration space using the Sloan Digital Sky Survey extended Baryon Oscillation Spectroscopic Survey (eBOSS)Expand
Voronoi volume function: a new probe of cosmology and galaxy evolution
We study the Voronoi volume function (VVF) -- the distribution of cell volumes (or inverse local number density) in the Voronoi tessellation of any set of cosmological tracers (galaxies/haloes). WeExpand
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