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Using Shapefinders, which are ratios of Minkowski functionals, we study the morphology of neutral hydrogen (HI) density fields, simulated using semi-numerical technique (inside-out), at various stages of reionization. Accompanying the…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-21 Satadru Bag , Rajesh Mondal , Prakash Sarkar , Somnath Bharadwaj , Varun Sahni

The evolution of topology and morphology of ionized or neutral hydrogen during different stages of the Epoch of Reionization (EoR) have the potential to provide us a great amount of information about the properties of the ionizing sources…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-23 Aadarsh Pathak , Satadru Bag , Saswata Dasgupta , Suman Majumdar , Rajesh Mondal , Mohd Kamran , Prakash Sarkar

We present a new ansatz which can successfully be used to determine the morphological properties of the supercluster-void network. The ansatz is based on a surface modelling scheme SURFGEN, which generates a triangulated surface from a…

Astrophysics · Physics 2009-11-07 Jatush V. Sheth , Varun Sahni , Sergei F. Shandarin , B. S. Sathyaprakash

The morphology of the total gas and the neutral hydrogen (H I) distributions during the cosmological epoch of reionization can be quantified with Minkowski Functionals (MFs) of isodensity surfaces. We compute the MFs from the output of a…

Astrophysics · Physics 2008-11-26 Liron Gleser , Adi Nusser , Benedetta Ciardi , Vincent Desjacques

Morphology of the complex HI gas distribution can be quantified by statistics like the Minkowski functionals, and can provide a way to statistically study the large scale structure in the HI maps both at low redshifts, and during the epoch…

Cosmology and Nongalactic Astrophysics · Physics 2015-01-19 Yougang Wang , Yidong Xu , Fengquan Wu , Xuelei Chen , Xin Wang , Juhan Kim , Changbom Park , Khee-Gan Lee , Renyue Cen

The redshifted 21-cm signal emitted by neutral Hydrogen (HI) is a promising probe to understand the evolution of the topology of ionized regions during the Epoch of Reionization (EoR). The topology of ionized regions allows us to infer the…

Observations reveal that on large scales the universe is spanned by a percolating network of superclusters interspersed with large and almost empty regions -- voids. This thesis reports the construction of a sophisticated computational…

Astrophysics · Physics 2007-05-23 Jatush V. Sheth

Filamentary structures in neutral hydrogen (HI) emission are well aligned with the interstellar magnetic field, so HI emission morphology can be used to construct templates that strongly correlate with measurements of polarized thermal dust…

Astrophysics of Galaxies · Physics 2024-09-04 George Halal , Susan E. Clark , Ari Cukierman , Dominic Beck , Chao-Lin Kuo

We apply Minkowski functionals and various derived measures to decipher the morphological properties of large-scale structure seen in simulations of gravitational evolution. Minkowski functionals of isodensity contours serve as tools to…

After reionization, neutral hydrogen (HI) traces the large-scale structure (LSS) of the Universe, enabling HI intensity mapping (IM) to capture the LSS in 3D and constrain key cosmological parameters. We present a new framework utilizing…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-10 Eishica Chand , Arka Banerjee , Simon Foreman , Francisco Villaescusa-Navarro

We use the results of large-scale simulations of reionization to explore methods for characterizing the topology and sizes of HII regions during reionization. We use four independent methods for characterizing the sizes of ionized regions.…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-11 Martina M. Friedrich , Garrelt Mellema , Marcelo A. Alvarez , Paul R. Shapiro , Ilian T. Iliev

We present a morphological analysis of atom probe data of nanoscale microstructural features, using methods developed by the astrophysics community to describe the shape of superclusters of galaxies. We describe second-phase regions using…

Materials Science · Physics 2020-01-30 Daniel R Mason , Andrew J London

We construct a set of shape-finders which determine shapes of compact surfaces (iso-density surfaces in galaxy surveys or N-body simulations) without fitting them to ellipsoidal configurations as done earlier. The new indicators arise from…

Astrophysics · Physics 2009-10-30 Varun Sahni , B. S. Sathyaprakash , Sergei F. Shandarin

We introduce a versatile and spatially resolved morphological characterisation of binary fields, rooted in the opening transform of mathematical morphology. We subsequently apply it to the thresholded ionization field in simulations of…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-08 Philipp Busch , Marius B. Eide , B. Ciardi , Koki Kakiichi

We apply Shapefinders, statistical measures of `shape' constructed from two dimensional partial Minkowski functionals, to study the degree of filamentarity in the Las Campanas Redshift Survey (LCRS). In two dimensions, three Minkowski…

We study the supercluster shape properties of the recently compiled SDSS cluster catalog using an approach based on differential geometry. We detect superclusters by applying the percolation algorithm to observed cluster populations,…

Astrophysics · Physics 2009-11-07 Spyros Basilakos

The size distribution of ionized regions during the epoch of reionization -- a key ingredient in understanding the HI power spectrum observable by 21cm experiments -- can be modelled analytically using the excursion set formalism of random…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 Aseem Paranjape , T. Roy Choudhury

Percolation in systems made up of randomly placed impermeable grains is often examined in the context of system spanning clusters of connected solids forming above a relatively low critical grain density $\rho_{c1}$ or networks of…

Disordered Systems and Neural Networks · Physics 2025-10-10 D. J. Priour

We analyse shapes of overdense regions (clusters and superclusters) in controlled N-body simulations of gravitational clustering with power law initial spectra P(k) \propto k^n, n = -3, -2, -1, 0. At values of the density just above the…

Astrophysics · Physics 2009-10-30 B. S. Sathyaprakash , Varun Sahni , Sergei F. Shandarin

We study topological properties of large scale structure in a set of scale free N-body simulations using the genus and percolation curves as topological characteristics. Our results show that as gravitational clustering advances, the…

Astrophysics · Physics 2009-10-28 Varun Sahni , B. S. Sathyaprakash , S. F. Shandarin
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