Persistent topology of the reionisation bubble network. I: Formalism & Phenomenology

Abstract

We present a new formalism for studying the topology of HII regions during the Epoch of Reionisation, based on persistent homology theory. With persistent homology, it is possible to follow the evolution of topological features over time. We introduce the notion of a persistence field as a statistical summary of persistence data and we show how these fields can be used to identify different stages of reionisation. We identify two new stages common to all bubble ionisation scenarios. Following an initial pre-overlap and subsequent overlap stage, the topology is first dominated by neutral filaments (filament stage) and then by enclosed patches of neutral hydrogen undergoing outside-in ionisation (patch stage). We study how these stages are affected by the degree of galaxy clustering. We also show how persistence fields can be used to study other properties of the ionisation topology, such as the bubble size distribution and the fractal-like topology of the largest ionised region.

arXiv comment18 pages, 12 figures, 1 table. Submitted to MNRAS

References in corpus (37)

• Astrophysics Source Code Library
• 21cmFAST: A Fast, Semi-Numerical Simulation of the High-Redshift 21-cm Signal
• The persistent cosmic web and its filamentary structure I: Theory and implementation
• Efficient Simulations of Early Structure Formation and Reionization
• Cosmological Reionization by Stellar Sources
• Simulating Cosmic Reionization at Large Scales I: the Geometry of Reionization
• The morphology of HII regions during reionization
• Upper limits on the 21-cm Epoch of Reionization power spectrum from one night with LOFAR
• A Cosmic Watershed: the WVF Void Detection Technique
• Taxing the Rich: Recombinations and Bubble Growth During Reionization
• Cosmic Dawn (CoDa): the First Radiation-Hydrodynamics Simulation of Reionization and Galaxy Formation in the Local Universe
• Comparison Of Reionization Models: Radiative Transfer Simulations And Approximate, Semi-Numeric Models
• Simulating cosmic reionization: How large a volume is large enough?
• Inside-out or Outside-in: The topology of reionization in the photon-starved regime suggested by Lyman-alpha forest data
• The Topology of the Cosmic Web in Terms of Persistent Betti Numbers
• Morphology of the supercluster-void network in LCDM cosmology
• On the use of semi-numerical simulations in predicting the 21-cm signal from the epoch of reionization
• Constraining the Topology of Reionization Through Lyman-alpha Absorption
• The Aurora radiation-hydrodynamical simulations of reionization: calibration and first results
• Bubble size statistics during reionization from 21-cm tomography
• Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals
• The accuracy of semi-numerical reionization models in comparison with radiative transfer simulations
• The Distribution of Bubble Sizes During Reionization
• Betti numbers of Gaussian fields
• Reionization Through the Lens of Percolation Theory
• Finding cosmic voids and filament loops using topological data analysis
• The morphology of cosmological reionization by means of Minkowski Functionals
• The Large-Scale Observational Signatures of Low-Mass Galaxies During Reionization
• Constraining the EoR model parameters with the 21cm bispectrum
• Recovering the HII region size statistics from 21-cm tomography
• Studying topological structure in the epoch of reionization with 3D-Minkowski functionals of 21cm line fluctuations
• Improved 21 cm Epoch Of Reionization Power Spectrum Measurements with a Hybrid Foreground Subtraction and Avoidance Technique
• The Shape and Size distribution of HII Regions near the percolation transition
• Persistent Homology and Non-Gaussianity
• Tracing the Sources of Reionization in Cosmological Radiation Hydrodynamics Simulations
• SCORCH. II. Radiation-Hydrodynamic simulations of reionization with varying radiation escape fractions
• Topological signatures of interstellar magnetic fields - I. Betti numbers and persistence diagrams

Cited by in corpus (22)

• Astraeus I: The interplay between galaxy formation and reionization
• Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals
• The Persistence of Large Scale Structures I: Primordial non-Gaussianity
• Measuring the topology of reionization with Betti numbers
• Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams
• Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies
• Deep learning approach for identification of HII regions during reionization in 21-cm observations
• Exploring the cosmic 21-cm signal from the Epoch of Reionisation using the Wavelet Scattering Transform
• Prospects of constraining reionization model parameters using Minkowski tensors and Betti numbers
• Morphology of 21cm brightness temperature during the Epoch of Reioinization using Contour Minkowski Tensor
• Inferring the properties of the sources of reionization using the morphological spectra of the ionized regions
• Studying the morphology of reionisation with the triangle correlation function of phases
• Detecting the non-Gaussianity of the 21-cm signal during reionisation with the Wavelet Scattering Transform
• Persistent topology of the reionization bubble network. II: Evolution & Classification
• Distinguishing reionization models using the largest cluster statistics of the 21-cm maps
• Constraining the 21cm brightness temperature of the IGM at $z$=6.6 around LAEs with the Murchison Widefield Array
• Topological data analysis reveals differences between simulated galaxies and dark matter haloes
• Interpreting the HI 21-cm cosmology maps through Largest Cluster Statistics -- I: Impact of the synthetic SKA1-Low observations
• Topological Data Analysis for the String Landscape
• On the evolution of Betti curves in the Cosmic web
• Mapping neutral islands during end stages of reionization with photometric intergalactic medium tomography
• Interpreting the HI 21-cm cosmology maps through Largest Cluster Statistics. Part II. Impact of the realistic foreground and instrumental noise on synthetic SKA1-Low observations