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 …
[HTML][HTML] 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 …
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 …
On the stability of persistent entropy and new summary functions for topological data analysis
N Atienza, R González-Díaz, M Soriano-Trigueros - Pattern Recognition, 2020 - Elsevier
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 …
Finding cosmic voids and filament loops using topological data analysis
X Xu, J Cisewski-Kehe, SB Green, D Nagai - Astronomy and Computing, 2019 - Elsevier
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 …
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
M Biagetti, A Cole, G Shiu - Journal of Cosmology and …, 2021 - iopscience.iop.org
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 …
Graphcode: Learning from multiparameter persistent homology using graph neural networks
We introduce graphcodes, a novel multi-scale summary of the topological properties of a
dataset that is based on the well-established theory of persistent homology. Graphcodes …
dataset that is based on the well-established theory of persistent homology. Graphcodes …
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 …