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Minkowski Functionals of SDSS-III BOSS: Hints of Possible Anisotropy in the Density Field?
Stephen Appleby, Changbom Park, Pratyush Pranav, Sungwook E. 성 욱 Hong 홍, Ho Seong Hwang, Juhan Kim and Thomas Buchert The Astrophysical Journal 928(2) 108 (2022) https://doi.org/10.3847/1538-4357/ac562a
Characterization of anisotropic Gaussian random fields by Minkowski tensors
Michael Andreas Klatt, Max Hörmann and Klaus Mecke Journal of Statistical Mechanics: Theory and Experiment 2022(4) 043301 (2022) https://doi.org/10.1088/1742-5468/ac5dc1
Morphology of weak lensing convergence maps
D Munshi, T Namikawa, J D McEwen, T D Kitching and F R Bouchet Monthly Notices of the Royal Astronomical Society 507(1) 1421 (2021) https://doi.org/10.1093/mnras/stab2101
The Euler characteristic: A general topological descriptor for complex data
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: evolution of higher-order correlations demonstrated with Minkowski functionals
James M Sullivan, Alexander Wiegand and Daniel J Eisenstein Monthly Notices of the Royal Astronomical Society 485(2) 1708 (2019) https://doi.org/10.1093/mnras/stz498
Topology and geometry of Gaussian random fields I: on Betti numbers, Euler characteristic, and Minkowski functionals
Pratyush Pranav, Rien van de Weygaert, Gert Vegter, et al. Monthly Notices of the Royal Astronomical Society 485(3) 4167 (2019) https://doi.org/10.1093/mnras/stz541
Minkowski Tensors in Three Dimensions: Probing the Anisotropy Generated by Redshift Space Distortion
Stephen Appleby, Pravabati Chingangbam, Changbom Park, K. P. Yogendran and P. K. Joby The Astrophysical Journal 863(2) 200 (2018) https://doi.org/10.3847/1538-4357/aacf8c
Minkowski Tensors in Two Dimensions: Probing the Morphology and Isotropy of the Matter and Galaxy Density Fields
Stephen Appleby, Pravabati Chingangbam, Changbom Park, Sungwook E. Hong, Juhan Kim and Vidhya Ganesan The Astrophysical Journal 858(2) 87 (2018) https://doi.org/10.3847/1538-4357/aabb53
Model-independent analyses of non-Gaussianity in Planck CMB maps using Minkowski functionals
The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: higher order correlations revealed by germ–grain Minkowski functionals
Alexander Wiegand and Daniel J. Eisenstein Monthly Notices of the Royal Astronomical Society 467(3) 3361 (2017) https://doi.org/10.1093/mnras/stx292
Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals
Michael A Klatt, Gerd E Schröder-Turk and Klaus Mecke Journal of Statistical Mechanics: Theory and Experiment 2017(2) 023302 (2017) https://doi.org/10.1088/1742-5468/aa5a19
Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
Michael A. Klatt, Günter Last, Klaus Mecke, et al. Lecture Notes in Mathematics, Tensor Valuations and Their Applications in Stochastic Geometry and Imaging 2177 385 (2017) https://doi.org/10.1007/978-3-319-51951-7_13
Tensor Valuations and Their Applications in Stochastic Geometry and Imaging
Daniel Hug, Michael A. Klatt, Günter Last and Matthias Schulte Lecture Notes in Mathematics, Tensor Valuations and Their Applications in Stochastic Geometry and Imaging 2177 339 (2017) https://doi.org/10.1007/978-3-319-51951-7_12
Observational challenges for the standard FLRW model
Thomas Buchert, Alan A. Coley, Hagen Kleinert, Boudewijn F. Roukema and David L. Wiltshire International Journal of Modern Physics D 25(03) 1630007 (2016) https://doi.org/10.1142/S021827181630007X
Evidence for an environment-dependent shift in the baryon acoustic oscillation peak
Boudewijn F. Roukema, Thomas Buchert, Jan J. Ostrowski and Martin J. France Monthly Notices of the Royal Astronomical Society 448(2) 1660 (2015) https://doi.org/10.1093/mnras/stv041
Direct Minkowski Functional analysis of large redshift surveys: a new high-speed code tested on the luminous red galaxy Sloan Digital Sky Survey-DR7 catalogue
Alexander Wiegand, Thomas Buchert and Matthias Ostermann Monthly Notices of the Royal Astronomical Society 443(1) 241 (2014) https://doi.org/10.1093/mnras/stu1118
Minkowski tensor density formulas for Boolean models
Probing modified gravity theories with ISW and CMB lensing
D. Munshi, B. Hu, A. Renzi, A. Heavens and P. Coles Monthly Notices of the Royal Astronomical Society 442(1) 821 (2014) https://doi.org/10.1093/mnras/stu916
Secondary anisotropies in CMB, skew-spectra and Minkowski Functionals
Dipak Munshi, Peter Coles and Alan Heavens Monthly Notices of the Royal Astronomical Society 428(3) 2628 (2013) https://doi.org/10.1093/mnras/sts232
Morphometric analysis in gamma-ray astronomy using Minkowski functionals
Minkowski Functionals of SDSS Galaxies I : Analysis of Excursion Sets
Chiaki Hikage, Jens Schmalzing, Thomas Buchert, Yasushi Suto, Issha Kayo, Atsushi Taruya, Michael S. Vogeley, Fiona Hoyle, J. Richard Gott and Jon Brinkmann Publications of the Astronomical Society of Japan 55(5) 911 (2003) https://doi.org/10.1093/pasj/55.5.911
Shape statistics of Sloan Digital Sky Survey superclusters