Subsampling and averaging stabilizes Delaunay and Voronoi tessellation void statistics (VSF, VTCF, VPS), reducing scatters attributed to tessellation instabilities and boosting BAO signal-to-noise and cosmological constraining power.
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Betti curves from persistent homology of large-scale structure provide complementary cosmological constraints on ns, sigma8, and Om, with tighter bounds when analyzed jointly with the power spectrum.
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Optimization of Tessellation-based Statistics: Void Statistics
Subsampling and averaging stabilizes Delaunay and Voronoi tessellation void statistics (VSF, VTCF, VPS), reducing scatters attributed to tessellation instabilities and boosting BAO signal-to-noise and cosmological constraining power.
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Counting voids and filaments: Betti Curves as a Powerful Probe for Cosmology
Betti curves from persistent homology of large-scale structure provide complementary cosmological constraints on ns, sigma8, and Om, with tighter bounds when analyzed jointly with the power spectrum.