Is the observable Universe consistent with the cosmological principle?
The cosmological principle (CP)—the notion that the Universe is spatially isotropic and
homogeneous on large scales—underlies a century of progress in cosmology. It is …
homogeneous on large scales—underlies a century of progress in cosmology. It is …
Vitreous carbon, geometry and topology: A hollistic approach
P Mélinon - Nanomaterials, 2021 - mdpi.com
Glass-like carbon (GLC) is a complex structure with astonishing properties: isotropic sp 2
structure, low density and chemical robustness. Despite the expanded efforts to understand …
structure, low density and chemical robustness. Despite the expanded efforts to understand …
Persistent homology in cosmic shear-II. A tomographic analysis of DES-Y1
S Heydenreich, B Brück, P Burger… - Astronomy & …, 2022 - aanda.org
We demonstrate how to use persistent homology for cosmological parameter inference in a
tomographic cosmic shear survey. We obtain the first cosmological parameter constraints …
tomographic cosmic shear survey. We obtain the first cosmological parameter constraints …
Persistent homology in cosmic shear: constraining parameters with topological data analysis
S Heydenreich, B Brück, J Harnois-Déraps - Astronomy & Astrophysics, 2021 - aanda.org
In recent years, cosmic shear has emerged as a powerful tool for studying the statistical
distribution of matter in our Universe. Apart from the standard two-point correlation functions …
distribution of matter in our Universe. Apart from the standard two-point correlation functions …
The persistence of large scale structures. Part I. Primordial non-Gaussianity
We develop an analysis pipeline for characterizing the topology of large scale structure and
extracting cosmological constraints based on persistent homology. Persistent homology is a …
extracting cosmological constraints based on persistent homology. Persistent homology is a …
Measuring the topology of reionization with Betti numbers
The distribution of ionized hydrogen during the epoch of reionization (EoR) has a complex
morphology. We propose to measure the 3D topology of ionized regions using the Betti …
morphology. We propose to measure the 3D topology of ionized regions using the Betti …
A streamlined quantum algorithm for topological data analysis with exponentially fewer qubits
Topological invariants of a dataset, such as the number of holes that survive from one length
scale to another (persistent Betti numbers) can be used to analyse and classify data in …
scale to another (persistent Betti numbers) can be used to analyse and classify data in …
Finding cosmic voids and filament loops using topological data analysis
We present a method called Significant Cosmic Holes in Universe (SCHU) for identifying
cosmic voids and loops of filaments in cosmological datasets and assigning their statistical …
cosmic voids and loops of filaments in cosmological datasets and assigning their statistical …
On the stability of persistent entropy and new summary functions for topological data analysis
Persistent homology and persistent entropy have recently become useful tools for patter
recognition. In this paper, we find requirements under which persistent entropy is stable to …
recognition. In this paper, we find requirements under which persistent entropy is stable to …
Topological data analysis for the string landscape
A bstract Persistent homology computes the multiscale topology of a data set by using a
sequence of discrete complexes. In this paper, we propose that persistent homology may be …
sequence of discrete complexes. In this paper, we propose that persistent homology may be …