2021
DOI: 10.1088/1475-7516/2021/05/026
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Prospects of constraining reionization model parameters using Minkowski tensors and Betti numbers

Abstract: We explore the possibility of constraining model parameters of the Epoch of Reionization (EoR) from 21cm brightness temperature maps, using a combination of morphological descriptors constructed from the eigenvalues of the Contour Minkowski Tensor (CMT), Betti numbers (count of connected regions ncon and holes nhole) and the area of structures in the excursion set of the field. We use a three parameter model of EoR simulated using 21cmFAST, namely the ionizing efficiency of sources ζ, the minimum virial temper… Show more

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Cited by 34 publications
(17 citation statements)
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“…See however, for instance,Kapahtia et al (2021) for the attempts to constrain these astrophysical parameters, given similar observations to those we consider here. 4 Implemented using the PYTHON package pyDOE https:// pythonhosted.org/pyDOE/…”
supporting
confidence: 57%
“…See however, for instance,Kapahtia et al (2021) for the attempts to constrain these astrophysical parameters, given similar observations to those we consider here. 4 Implemented using the PYTHON package pyDOE https:// pythonhosted.org/pyDOE/…”
supporting
confidence: 57%
“…These include the one-point statistics of the brightness temperature (Watkinson & Pritchard 2014;Shimabukuro et al 2015;Kubota et al 2016;Banet et al 2021;Gorce et al 2021), the morphological and/or topological features of the 21-cm signal (e.g. Yoshiura et al 2017;Bag et al 2019;Chen et al 2019;Elbers & van de Weygaert 2019;Kapahtia et al 2019;Gazagnes et al 2021;Kapahtia et al 2021) and the distribution of the sizes of ionised regions (Kakiichi et al 2017;Giri et al 2018aGiri et al ,b, 2019bBianco et al 2021). Alternatively, convolutional neural networks (CNNs) have been considered which are trained to be able to extract 2D or 3D features from images of the cosmic 21-cm signal and used to extract astrophysical information from mock observations (e.g.…”
Section: Introductionmentioning
confidence: 99%
“…These are also methods based on percolation theory (Iliev et al 2006;Iliev et al 2014;Furlanetto & Oh 2016;Bag et al 2018Bag et al , 2019, granulometry (Kakiichi et al 2017) and persistence theory (Elbers & van de Weygaert 2019) which have been used for the theoretical study of the topological phases of H regions during EoR. In addition to these, a method based on the Betti numbers (Giri & Mellema 2020;Kapahtia et al 2021) provide the number of connected regions, tunnels and cavities to describe the state of the IGM. A recent study of Gorce et al (2021) used a method of local variance which probes the reionization history of the observed patches of the sky as well as trace the ionization morphology.…”
Section: Introductionmentioning
confidence: 99%