4.7 Article

Minkowski Tensors in Redshift Space-Beyond the Plane-parallel Approximation

Related references

Note: Only part of the references are listed.
Article Mechanics

Characterization of anisotropic Gaussian random fields by Minkowski tensors

Michael Andreas Klatt et al.

Summary: This article investigates the expected Minkowski tensors (MTs) of level sets of Gaussian random fields and confirms the explicit expressions for interfacial MTs through detailed simulations. It demonstrates the ability of MTs to detect and characterize the anisotropy of level sets, and clarifies the shape information contained in MTs of different ranks. Furthermore, it discovers that even under the assumption of Gaussian distribution, it is possible to predict the anisotropy information in higher-rank tensors, which proves useful for detecting non-Gaussianities in anisotropic random fields.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2022)

Article Astronomy & Astrophysics

A Challenge to the Standard Cosmological Model

Nathan J. Secrest et al.

Summary: This study presents the joint analysis of catalogs of radio galaxies and quasars to examine their distribution in the sky in relation to the standard cosmological model. The results show that both radio galaxies and quasars have dipole anisotropy in their sky distribution, consistent with the motion inferred from the cosmic microwave background (CMB), suggesting an intrinsic anisotropy in cosmologically distant sources.

ASTROPHYSICAL JOURNAL LETTERS (2022)

Article Astronomy & Astrophysics

Prospects of constraining reionization model parameters using Minkowski tensors and Betti numbers

Akanksha Kapahtia et al.

Summary: The study explores the possibility of constraining model parameters of the Epoch of Reionization (EoR) from 21cm brightness temperature maps. The results show that the average size and isotropy of structures in the field are important factors, and that noisy Tb maps need to be smoothed to recover the input model. The systematic behavior of the statistic as ionization progresses enables stringent constraints on the mean neutral hydrogen fraction, making these descriptors promising statistics for constraining EoR model parameters and the ionization history of the universe.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2021)

Article Astronomy & Astrophysics

The nature of non-Gaussianity and statistical isotropy of the 408 MHz Haslam synchrotron map

Fazlu Rahman et al.

Summary: Accurate component separation in full-sky maps at radio and microwave frequencies, like the CMB, requires a deep understanding of the statistical properties of Galactic foreground emissions. Analysis of the statistical properties of Galactic synchrotron using scalar Minkowski functionals and Minkowski tensors reveals high non-Gaussian deviations at the smallest angular scales. Non-Gaussian nature can be explained by perturbative expansion up to second-order terms, with kurtosis terms being dominant over skewness terms.Tests show that the Haslam map becomes increasingly more isotropic at smaller scales.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2021)

Article Astronomy & Astrophysics

Local patch analysis for testing statistical isotropy of the Planck convergence map

Priya Goyal et al.

Summary: This study uses the measurement results of weak gravitational lensing on the cosmic microwave background radiation to test the fundamental assumption of Statistical Isotropy (SI) of the universe, finding that the observed data is consistent with SI overall, but there are local regions with deviations with statistical significance higher than 95% confidence level.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2021)

Article Astronomy & Astrophysics

Persistent homology of the cosmic web - I. Hierarchical topology in ΛCDM cosmologies

Georg Wilding et al.

Summary: By utilizing multiscale topological data analysis tools, this study tracks the evolution of connectivity and topological structure changes in the cosmic web through Betti number curves and persistence diagrams. The persistence diagrams provide a higher level of information on the structure formation process compared to global summary statistics.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2021)

Article Astronomy & Astrophysics

Morphology of weak lensing convergence maps

D. Munshi et al.

Summary: The study focuses on the morphology of convergence maps by perturbatively reconstructing their Minkowski functionals. A systematic investigation using a set of generalized skew spectra as leading-order corrections to Gaussian MFs in the quasi-linear regime is presented. The method allows for unbiased reconstruction of MFs in the presence of masks and noise, and comparisons with numerical simulations show excellent agreement. Additionally, the study explores the importance of post Born corrections for modelling non-Gaussianity in convergence maps at higher redshifts.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2021)

Article Astronomy & Astrophysics

Application of the contour Minkowski tensor and D statistic to the Planck E-mode data

Joby P. Kochappan et al.

Summary: The statistical isotropy of the E-mode polarization of the cosmic microwave background radiation observed by the Planck satellite was tested using the alpha estimator and directional statistic. Results showed good agreement between the Planck data and simulations in terms of statistical properties.

PHYSICAL REVIEW D (2021)

Article Astronomy & Astrophysics

A Test of the Cosmological Principle with Quasars

Nathan J. Secrest et al.

Summary: The study reveals that the direction of the dipole in the quasar sky is similar to that of the cosmic microwave background (CMB), but its amplitude is over twice as large as expected, rejecting the canonical interpretation of the CMB dipole. This conflicts with the cosmological principle, a foundational assumption of the concordance ΛCDM model.

ASTROPHYSICAL JOURNAL LETTERS (2021)

Article Astronomy & Astrophysics

Cosmological Parameter Estimation from the Two-dimensional Genus Topology-Measuring the Expansion History Using the Genus Amplitude as a Standard Ruler

Stephen Appleby et al.

Summary: The study uses the genus of galaxy distribution to constrain cosmological parameters, with constraints on the dark energy equation of state at w(de) = 1.05-(0.13)(0.12) and the matter density parameter at Omega(m).=.0.303.+/-.0.036. Combining high- and low-redshift data with Planck CMB data provides stronger constraints.

ASTROPHYSICAL JOURNAL (2021)

Article Astronomy & Astrophysics

Morphology of CMB fields - effect of weak gravitational lensing

Priya Goyal et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2020)

Article Astronomy & Astrophysics

The Quijote Simulations

Francisco Villaescusa-Navarro et al.

ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES (2020)

Article Astronomy & Astrophysics

Cosmological Information from the Small-scale Redshift-space Distortion

Motonari Tonegawa et al.

ASTROPHYSICAL JOURNAL (2020)

Article Astronomy & Astrophysics

Topology and geometry of Gaussian random fields I: on Betti numbers, Euler characteristic, and Minkowski functionals

Pratyush Pranav et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2019)

Article Astronomy & Astrophysics

Unexpected topology of the temperature fluctuations in the cosmic microwave background

Pratyush Pranav et al.

ASTRONOMY & ASTROPHYSICS (2019)

Article Astronomy & Astrophysics

Stochastic homology of Gaussian vs. non-Gaussian random fields: graphs towards Betti numbers and persistence diagrams

Job Feldbrugge et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2019)

Article Astronomy & Astrophysics

Morphology of 21cm brightness temperature during the Epoch of Reionization using Contour Minkowski Tensor

Akanksha Kapahtia et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2019)

Article Astronomy & Astrophysics

Search for anomalous alignments of structures in Planck data using Minkowski Tensors

P. K. Joby et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2019)

Article Astronomy & Astrophysics

Ensemble Average of Three-dimensional Minkowski Tensors of a Gaussian Random Field in Redshift Space

Stephen Appleby et al.

ASTROPHYSICAL JOURNAL (2019)

Article Astronomy & Astrophysics

Beyond the plane-parallel approximation for redshift surveys

Emanuele Castorina et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2018)

Article Astronomy & Astrophysics

A novel probe of ionized bubble shape and size statistics of the epoch of reionization using the contour Minkowski Tensor

Akanksha Kapahtia et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2018)

Article Astronomy & Astrophysics

Minkowski Tensors in Three Dimensions: Probing the Anisotropy Generated by Redshift Space Distortion

Stephen Appleby et al.

ASTROPHYSICAL JOURNAL (2018)

Article Astronomy & Astrophysics

The topology of the cosmic web in terms of persistent Betti numbers

Pratyush Pranav et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2017)

Article Astronomy & Astrophysics

Tensor Minkowski Functionals: first application to the CMB

Vidhya Ganesan et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2017)

Article Astronomy & Astrophysics

Tensor Minkowski Functionals for random fields on the sphere

Pravabati Chingangbam et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2017)

Article Astronomy & Astrophysics

Model-independent analyses of non-Gaussianity in Planck CMB maps using Minkowski functionals

Thomas Buchert et al.

CLASSICAL AND QUANTUM GRAVITY (2017)

Article Astronomy & Astrophysics

Lensing and time-delay contributions to galaxy correlations

Alvise Raccanelli et al.

GENERAL RELATIVITY AND GRAVITATION (2016)

Article Computer Science, Software Engineering

Felix: A Topology Based Framework for Visual Exploration of Cosmic Filaments

Nithin Shivashankar et al.

IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS (2016)

Article Astronomy & Astrophysics

Redshift-space distortions with wide angular separations

Paulo Reimberg et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2016)

Article Astronomy & Astrophysics

Galaxy power spectrum in redshift space: Combining perturbation theory with the halo model

Teppei Okumura et al.

PHYSICAL REVIEW D (2015)

Article Astronomy & Astrophysics

Wide-angle effects in future galaxy surveys

Jaiyul Yoo et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2015)

Article Astronomy & Astrophysics

Tests of redshift-space distortions models in configuration space for the analysis of the BOSS final data release

Martin White et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2015)

Article Astronomy & Astrophysics

THE ELEVENTH AND TWELFTH DATA RELEASES OF THE SLOAN DIGITAL SKY SURVEY: FINAL DATA FROM SDSS-III

Shadab Alam et al.

ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES (2015)

Article Astronomy & Astrophysics

SYSTEMATIC EFFECTS ON THE GENUS TOPOLOGY OF THE LARGE-SCALE STRUCTURE OF THE UNIVERSE

Young-Rae Kim et al.

ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES (2014)

Article Astronomy & Astrophysics

A 2.5 per cent measurement of the growth rate from small-scale redshift space clustering of SDSS-III CMASS galaxies

Beth A. Reid et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2014)

Article Astronomy & Astrophysics

Impacts of satellite galaxies on the redshift-space distortions

Chiaki Hikage et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2013)

Article Astronomy & Astrophysics

BETTI NUMBERS OF GAUSSIAN FIELDS

Changbom Park et al.

JOURNAL OF THE KOREAN ASTRONOMICAL SOCIETY (2013)

Article Astronomy & Astrophysics

Non-Gaussian Minkowski functionals and extrema counts in redshift space

S. Codis et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2013)

Article Physics, Multidisciplinary

Minkowski tensors of anisotropic spatial structure

G. E. Schroeder-Turk et al.

NEW JOURNAL OF PHYSICS (2013)

Review Physics, Multidisciplinary

Observational probes of cosmic acceleration

David H. Weinberg et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2013)

Article Astronomy & Astrophysics

MAPPING GROWTH AND GRAVITY WITH ROBUST REDSHIFT SPACE DISTORTIONS

Juliana Kwan et al.

ASTROPHYSICAL JOURNAL (2012)

Article Astronomy & Astrophysics

Can we detect hot/cold spots in the CMB with Minkowski Functionals?

Eugene A. Lim et al.

JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS (2012)

Article Astronomy & Astrophysics

Non-Gaussian statistics of critical sets in 2D and 3D: Peaks, voids, saddles, genus, and skeleton

Christophe Gay et al.

PHYSICAL REVIEW D (2012)

Article Astronomy & Astrophysics

SYSTEMATIC EFFECTS ON DETERMINATION OF THE GROWTH FACTOR FROM REDSHIFT-SPACE DISTORTIONS

Teppei Okumura et al.

ASTROPHYSICAL JOURNAL (2011)

Article Astronomy & Astrophysics

TESTING GRAVITY USING THE GROWTH OF LARGE-SCALE STRUCTURE IN THE UNIVERSE

E. Jennings et al.

ASTROPHYSICAL JOURNAL LETTERS (2011)

Article Astronomy & Astrophysics

Modelling redshift space distortions in hierarchical cosmologies

E. Jennings et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2011)

Article Astronomy & Astrophysics

Using the topology of large-scale structure to constrain dark energy

Caroline Zunckel et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2011)

Article Astronomy & Astrophysics

What galaxy surveys really measure

Camille Bonvin et al.

PHYSICAL REVIEW D (2011)

Article Astronomy & Astrophysics

GRAVITATIONAL POTENTIAL ENVIRONMENT OF GALAXIES. I. SIMULATION

Hyunbae Park et al.

ASTROPHYSICAL JOURNAL (2010)

Article Astronomy & Astrophysics

LARGE-SCALE STRUCTURE OF THE UNIVERSE AS A COSMIC STANDARD RULER

Changbom Park et al.

ASTROPHYSICAL JOURNAL LETTERS (2010)

Article Microscopy

Tensorial Minkowski functionals and anisotropy measures for planar patterns

G. E. Schroeder-Turk et al.

JOURNAL OF MICROSCOPY (2010)

Article Astronomy & Astrophysics

Redshift space correlations and scale-dependent stochastic biasing of density peaks

Vincent Desjacques et al.

PHYSICAL REVIEW D (2010)

Article Astronomy & Astrophysics

THE SEVENTH DATA RELEASE OF THE SLOAN DIGITAL SKY SURVEY

Kevork N. Abazajian et al.

ASTROPHYSICAL JOURNAL SUPPLEMENT SERIES (2009)

Article Astronomy & Astrophysics

The effect of primordial non-Gaussianity on the topology of large-scale structure

C. Hikage et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2008)

Article Astronomy & Astrophysics

Nonlinear redshift-space power spectra

J. Richard Shaw et al.

PHYSICAL REVIEW D (2008)

Article Astronomy & Astrophysics

Wide-angle redshift distortions revisited

I Szapudi

ASTROPHYSICAL JOURNAL (2004)

Article Astronomy & Astrophysics

Redshift-space distortions, pairwise velocities, and nonlinearities

R Scoccimarro

PHYSICAL REVIEW D (2004)

Article Astronomy & Astrophysics

Statistical cosmology with quadratic density fields

P Watts et al.

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY (2003)

Article Chemistry, Physical

Complex dewetting scenarios captured by thin-film models

J Becker et al.

NATURE MATERIALS (2003)

Article Astronomy & Astrophysics

The morphological and dynamical evolution of simulated galaxy clusters

C Beisbart et al.

ASTRONOMY & ASTROPHYSICS (2001)

Article Astronomy & Astrophysics

Topology of the galaxy distribution in the Hubble Deep Fields

C Park et al.

ASTROPHYSICAL JOURNAL (2001)

Article Physics, Multidisciplinary

Morphometry of spatial patterns

C Beisbart et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2001)

Article Astronomy & Astrophysics

Evidence for filamentarity in the Las Campanas Redshift Survey

S Bharadwaj et al.

ASTROPHYSICAL JOURNAL (2000)