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The Four-Year COBE Normalization and Large-Scale Structure
Astrophysics · Submitted 12 Jul 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We use the COBE normalization to compute small-scale fluctuation amplitudes for a variety of models and discuss the implications of these results for theories of large-scale structure.
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The abstract, sentence by sentence
We present an analysis of the four-year data from the COBE DMR experiment. We use a Karhunen-Loeve expansion of the pixel data to calculate the normalization and goodness-of-fit of a range of models of structure formation. This technique produces unbiased normalization estimates and is capable of determining the normalization of any particular model with a statistical uncertainty of 7%. We present a parameterization of the normalization and likelihood function which summarizes our results for a wide range of models. We use the COBE normalization to compute small-scale fluctuation amplitudes for a variety of models and discuss the implications of these results for theories of large-scale structure.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present an analysis of the four-year data from the COBE DMR experiment. | contribution 0.92 | 0.93 | 0.03 | asserted 0.89 |
| s1 | We use a Karhunen-Loeve expansion of the pixel data to calculate the normalization and goodness-of-fit of a range of models of structure formation. | method 0.99 | 0.96 | 0.04 | asserted 0.99 |
| s2 | This technique produces unbiased normalization estimates and is capable of determining the normalization of any particular model with a statistical uncertainty of 7%. | method 0.71 | 0.87 | 0.15 | asserted 1.00 |
| s3 | We present a parameterization of the normalization and likelihood function which summarizes our results for a wide range of models. | contribution 0.92 | 0.96 | 0.12 | asserted 1.00 |
| s4 | We use the COBE normalization to compute small-scale fluctuation amplitudes for a variety of models and discuss the implications of these results for theories of large-scale structure. | interpretation 0.73 | 0.94 | 0.22 | asserted 0.90 |
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The paper
Original abstract
We present an analysis of the four-year data from the COBE DMR experiment. We use a Karhunen-Loeve expansion of the pixel data to calculate the normalization and goodness-of-fit of a range of models of structure formation. This technique produces unbiased normalization estimates and is capable of determining the normalization of any particular model with a statistical uncertainty of 7%. We present a parameterization of the normalization and likelihood function which summarizes our results for a wide range of models. We use the COBE normalization to compute small-scale fluctuation amplitudes for a variety of models and discuss the implications of these results for theories of large-scale structure.
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References
How the literature uses it
11 arXiv papers cite this in 11 sentences
Papers citing it · 6 sentences without a confident label
Uses its data or values 1 paper
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From the observed amplitude of the density perturbations on the COBE scale [ref]
Inflation in minimal left-right symmetric model with spontaneous D-parity breaking · Introduction · 0.97
Compares with it 1 paper
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Our results are similar to earlier studies [ref] , although Reiprich [ref] has found that the HIFLUGCS cluster survey is in still better agreement with the WMAP 3-year [ref] and COBE 4-year data [ref] .
Sensitivity and Insensitivity of Galaxy Cluster Surveys to New Physics · Flux Limited Cluster Counts for Standard Cosmology · 0.98
Cites it as background 3 papers
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This problem is related to the “sigma 8 tension” and raises questions concerning the empirical normalisation (based on the abundance of galaxy clusters, e.g. [ref] ) of the power spectrum of perturbations generated during inflation and how this transfers during linear structure growth to the power spectrum of matter at $z_e ≈130$ used to seed cosmological structure formation simulations (e.g. [ref] ).
The many tensions with dark-matter based models and implications on the nature of the Universe · Tensions between the SMoC and observations · 0.81
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Most cosmological constraints come from far-away objects such as supernovae [ref] and large scale structures [ref] but nearby objects can be considered as well.
Jeans Analysis of Bok globules in $f(R)$ gravity · Constraints for $f(R)$ models · 0.90
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Cosmic microwave background [ref] and supernova observations [ref] lead to the discovery of accelerating expansion of the Universe.
f(R) gravity constraints from gravitational waves · Introduction · 0.80
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