Comparing approximate methods for mock catalogues and covariance matrices II: power spectrum multipoles Article Swipe
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· 2019
· Open Access
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· DOI: https://doi.org/10.1093/mnras/stz507
We study the accuracy of several approximate methods for gravitational dynamics in terms of halo power spectrum multipoles and their estimated covariance matrix. We propagate the differences in covariances into parameter constraints related to growth rate of structure, Alcock–Paczynski distortions, and biasing. We consider seven methods in three broad categories: algorithms that solve for halo density evolution deterministically using Lagrangian trajectories (ICE–COLA, pinocchio, and peakpatch), methods that rely on halo assignment schemes on to dark matter overdensities calibrated with a target N-body run (halogen, patchy), and two standard assumptions about the full density probability distribution function (Gaussian and lognormal). We benchmark their performance against a set of three hundred N-body simulations, running similar sets of approximate simulations with matched initial conditions, for each method. We find that most methods reproduce the monopole to within $5{{\ \rm per\ cent}}$, while residuals for the quadrupole are sometimes larger and scale dependent. The variance of the multipoles is typically reproduced within $10{{\ \rm per\ cent}}$. Overall, we find that covariances built from approximate simulations yield errors on model parameters within $10{{\ \rm per\ cent}}$ of those from the N-body-based covariance.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1093/mnras/stz507
- OA Status
- green
- Cited By
- 78
- References
- 83
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W2913694456
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W2913694456Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1093/mnras/stz507Digital Object Identifier
- Title
-
Comparing approximate methods for mock catalogues and covariance matrices II: power spectrum multipolesWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2019Year of publication
- Publication date
-
2019-02-18Full publication date if available
- Authors
-
L Blot, M. Crocce, E. Sefusatti, Martha Lippich, Ariel G. Sánchez, Manuel Colavincenzo, Pierluigi Monaco, Marcelo A. Alvarez, A. S. Agrawal, S. Àvila, A. Balaguera-Antolínez, Richard Bond, Sandrine Codis, Claudio Dalla Vecchia, Antonio D. Montero-Dorta, P. Fosalba, Albert Izard, Francisco-Shu Kitaura, Marcos Pellejero-Ibáñez, George Stein, Mohammadjavad Vakili, Gustavo YepesList of authors in order
- Landing page
-
https://doi.org/10.1093/mnras/stz507Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/1806.09497Direct OA link when available
- Concepts
-
Physics, Spectral density, Halo, Covariance, Gaussian, Statistical physics, Quadrupole, Covariance matrix, Probability density function, Astrophysics, Statistics, Galaxy, Quantum mechanics, MathematicsTop concepts (fields/topics) attached by OpenAlex
- Cited by
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78Total citation count in OpenAlex
- Citations by year (recent)
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2025: 5, 2024: 16, 2023: 9, 2022: 13, 2021: 12Per-year citation counts (last 5 years)
- References (count)
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83Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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