Fluid flow in three-dimensional porous systems shows power law scaling with Minkowski functionals
Sign Up to like & getrecommendations! Published in 2024 at "Physics of Fluids"
DOI: 10.1063/5.0238751
Abstract: Integral geometry uses four geometric invariants—the Minkowski functionals—to characterize certain subsets of three-dimensional (3D) space. The question was, how is the fluid flow in a 3D porous system related to these invariants? In this work,… read more here.
Keywords: porous systems; power law; fluid flow; three dimensional ... See more keywords
Tensor Minkowski Functionals: first application to the CMB
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2017/06/023
Abstract: Tensor Minkowski Functionals (TMFs) are tensor generalizations of the usual Minkowski Functionals which are scalar quantities. We introduce them here for use in cosmological analysis, in particular to analyze the Cosmic Microwave Background (CMB) radiation.… read more here.
Keywords: mode; temperature; cosmology; minkowski functionals ... See more keywords
Constraining neutrino mass with weak lensing Minkowski Functionals
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2019/06/019
Abstract: The presence of massive neutrinos affects structure formation, leaving imprints on large-scale structure observables such as the weak lensing field. The common lensing analyses with two-point statistics are insensitive to the large amount of non-Gaussian… read more here.
Keywords: neutrino mass; minkowski functionals; mass; weak lensing ... See more keywords
Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/aa5a19
Abstract: We examine the interplay between anisotropy and percolation, i.e. the spontaneous formation of a system spanning cluster in an anisotropic model. We simulate an extension of a benchmark model of continuum percolation, the Boolean model,… read more here.
Keywords: system; minkowski functionals; percolation; percolation threshold ... See more keywords
Weakly non-Gaussian formula for the Minkowski functionals in general dimensions
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review D"
DOI: 10.1103/physrevd.104.103522
Abstract: The Minkowski functionals are useful statistics to quantify the morphology of various random fields. They have been applied to numerous analyses of geometrical patterns, including various types of cosmic fields, morphological image processing, etc. In… read more here.
Keywords: minkowski functionals; general dimensions; non gaussianity; weakly non ... See more keywords
3D cosmic shear: Numerical challenges, 3D lensing random fields generation, and Minkowski functionals for cosmological inference
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review D"
DOI: 10.1103/physrevd.98.103507
Abstract: Cosmic shear - the weak gravitational lensing effect generated by fluctuations of the gravitational tidal fields of the large-scale structure - is one of the most promising tools for current and future cosmological analyses. The… read more here.
Keywords: random fields; cosmic shear; field; minkowski functionals ... See more keywords
Minkowski Functionals of Connected Soil Porosity as Indicators of Soil Tillage and Depth
Sign Up to like & getrecommendations! Published in 2018 at "Frontiers in Environmental Science"
DOI: 10.3389/fenvs.2018.00055
Abstract: We made use of 3D tomograms from X-ray computed tomography of soil samples from a vineyard in La Rioja (Spain), to explore the ability of Minkowski functionals of connected soil pore space to discriminate between… read more here.
Keywords: connected soil; pore space; minkowski functionals; functionals connected ... See more keywords