Continuous Wavelet Analysis of Matter Clustering Using the Gaussian-derived Wavelet

Wang, Yun; Yang, Hua-Yu; He, Pinjia

doi:10.3847/1538-4357/ac752c

Cited by 12 publications

(1 citation statement)

References 70 publications

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“…In cosmology, the wavelets have been used in various contexts. The wavelet transforms have been used in analyzing the CMB signals [62][63][64], and analyzing the large-scale structure of the universe (to capture its non-Gaussian information content) [65][66][67][68][69]; also, see Ref. [70] and references therein for some applications of wavelets in cosmology and astrophysics.…”

Section: Introductionmentioning

confidence: 99%

The inevitable manifestation of wiggles in the expansion of the late universe

Akarsu¹,

Colgain²,

Özülker³

et al. 2022

Preprint

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Using the fact that the comoving angular diameter distance to last scattering is strictly constrained almost model-independently, we show that, for any model agreeing with ΛCDM on its background dynamics at z ∼ 0 and size of the comoving sound horizon at last scattering, the deviations of the Hubble radius from the one of ΛCDM, should be a member of the set of admissible wavelets. The family of models characterized by this framework also offers non-trivial oscillatory behaviours in various functions that define the kinematics of the universe, even when the wavelets themselves are very simple. We discuss the consequences of attributing these kinematics to, first, dark energy, second, varying gravitational coupling strength. Utilizing some simplest wavelets, we demonstrate the power and flexibility of this framework in describing the BAO data without any modifications to the agreement with CMB measurements. This framework also provides a natural explanation for the bumps found in non-parametric observational reconstructions of the Hubble parameter and dark energy density as compensations of the dips required by the BAO data, and questions the physical reality of their existence. We note that utilizing this framework on top of the models that agree with both the CMB and local H0 measurements but are held back by BAO data, one may resurrect these models through the wiggly nature of wavelets that can naturally accommodate the BAO data. Finally, we also suggest narrowing the plausible set of admissible wavelets to further improve our framework by imposing conditions from expected kinematics of a viable cosmological model or first principle fundamental physics such as energy conditions.

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Section: Introductionmentioning

confidence: 99%

The inevitable manifestation of wiggles in the expansion of the late universe

Akarsu¹,

Colgain²,

Özülker³

et al. 2022

Preprint

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Seasonal analysis of long-term (1970–2020) rainfall variability using clustering and wavelet transform approach in the Mahi River Basin, India

Sharma

Panda

et al. 2023

Acta Geophys.

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Cosmology with cosmic web environments

Bonnaire¹,

Joseph²,

Aghanim³

et al. 2023

A&A

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Degeneracies among parameters of the cosmological model are known to drastically limit the information contained in the matter distribution. In the first paper of this series, we show that the cosmic web environments, namely the voids, walls, filaments and nodes, can be used as leverage to improve the real-space constraints on a set of six cosmological parameters, including the summed neutrino mass. Following up on these results, we propose to investigate the extent to which constraints can be obtained with environment-dependent power spectra in redshift space where the velocities add information to the standard two-point statistics by breaking the isotropy of the matter density field. A Fisher analysis based on a set of thousands of Quijote simulations allows us to conclude that a combination of power spectra computed in several cosmic web environments is able to break some degeneracies. Compared to the matter monopole and quadrupole information alone, the combination of environment-dependent spectra improves constraints on key parameters such as the matter density and the summed neutrino mass by up to a factor of 5.5. Additionally, while the information contained in the matter statistic quickly saturates at mildly non-linear scales in redshift space, a combination of power spectra from different environments appears to be a rich source of information that can be used to improve the constraints at all the studied scales from 0.1 to 0.5 h Mpc−1 and suggests that further improvements could be attainable at even finer scales.

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Continuous Wavelet Analysis of Matter Clustering Using the Gaussian-derived Wavelet

Cited by 12 publications

References 70 publications

The inevitable manifestation of wiggles in the expansion of the late universe

The inevitable manifestation of wiggles in the expansion of the late universe

Seasonal analysis of long-term (1970–2020) rainfall variability using clustering and wavelet transform approach in the Mahi River Basin, India

Cosmology with cosmic web environments

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