First integration of tomographic AP tests with MCFs and PCA compression yields 48% and 45% tighter errors on Ω_m and w versus standard two-point functions.
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Neighbor-density-weighted marked correlation functions improve FoM for Ω_m–σ_8 by 1.7–2.5× over standard 2PCF using emulators from 129 w0waCDM+∑m_ν simulations.
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.
citing papers explorer
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Tomographic Alcock-Paczynski Test with Marked Correlation Functions
First integration of tomographic AP tests with MCFs and PCA compression yields 48% and 45% tighter errors on Ω_m and w versus standard two-point functions.
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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.