255 citations · 818 across the 19 of their papers we have counts for
19 papers
Dark Energy Survey Year 3 results: CDM cosmology from simulation-based inference with persistent homology on the sphere
J. Prat, M. Gatti, C. Doux +94
We present cosmological constraints from Dark Energy Survey Year 3 (DES Y3) weak lensing data using persistent homology, a topological data analysis technique that tracks how featu…
Homology reveals significant anisotropy in the cosmic microwave background
Pratyush Pranav, Thomas Buchert
We test the tenet of statistical isotropy of the standard cosmological model via a homology analysis of the cosmic microwave background temperature maps. Examining small sectors of…
Is the Observable Universe Consistent with the Cosmological Principle?
Pavan Kumar Aluri, Paolo Cea, Pravabati Chingangbam +20
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 conven…
Anomalies in the topology of the temperature fluctuations in the cosmic microwave background: An analysis of the and data releases
Pratyush Pranav
We present a multi-scale topological analysis of the temperature fluctuation maps from the NPIPE and FFP10 datasets, invoking relative homology to account for the analysis in the p…
Minkowski Functionals of SDSS-III BOSS : Hints of Possible Anisotropy in the Density Field?
Stephen Appleby, Changbom Park, Pratyush Pranav +4
We present measurements of the Minkowski functionals extracted from the SDSS-III BOSS catalogs. After defining the Minkowski functionals, we describe how an unbiased reconstruction…
Topology and geometry of Gaussian random fields II: on critical points, excursion sets, and persistent homology
Pratyush Pranav
This paper is second in the series, following Pranav et al. (2019), focused on the characterization of geometric and topological properties of 3D Gaussian random fields. We focus o…
Loops abound in the cosmic microwave background: A anomaly on super-horizon scales
Pratyush Pranav
We present a topological analysis of the temperature fluctuation maps from the \emph{Planck 2020} Data release 4 (DR4) based on the \texttt{NPIPE} data processing pipeline. For com…
Persistent homology of the cosmic web. I: Hierarchical topology in CDM cosmologies
Georg Wilding, Keimpe Nevenzeel, Rien van de Weygaert +5
Using a set of CDM simulations of cosmic structure formation, we study the evolving connectivity and changing topological structure of the cosmic web using state-of-the-art tool…
Stochastic Homology of Gaussian vs. non-Gaussian Random Fields: Graphs towards Betti Numbers and Persistence Diagrams
Job Feldbrugge, Matti van Engelen, Rien van de Weygaert +2
The topology and geometry of random fields - in terms of the Euler characteristic and the Minkowski functionals - has received a lot of attention in the context of the Cosmic Micro…
Estimation of Expected Euler Characteristic Curves of Nonstationary Smooth Gaussian Random Fields
Fabian Telschow, Armin Schwartzman, Dan Cheng +1
The expected Euler characteristic (EEC) curve of excursion sets of a Gaussian random field is used to approximate the distribution of its supremum for high thresholds. Viewed as a…
Unexpected Topology of the Temperature Fluctuations in the Cosmic Microwave Background
Pratyush Pranav, Robert J. Adler, Thomas Buchert +5
We study the topology generated by the temperature fluctuations of the Cosmic Microwave Background (CMB) radiation, as quantified by the number of components and holes, formally gi…
Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals
Pratyush Pranav, Rien van de Weygaert, Gert Vegter +6
This study presents a numerical analysis of the topology of a set of cosmologically interesting three-dimensional Gaussian random fields in terms of their Betti numbers , $β_1…
Modeling and replicating statistical topology, and evidence for CMB non-homogeneity
Robert J. Adler, Sarit Agami, Pratyush Pranav
Under the banner of `Big Data', the detection and classification of structure in extremely large, high dimensional, data sets, is, one of the central statistical challenges of our…
The Topology of the Cosmic Web in Terms of Persistent Betti Numbers
Pratyush Pranav, Herbert Edelsbrunner, Rien van de Weygaert +4
We introduce a multiscale topological description of the Megaparsec weblike cosmic matter distribution. Betti numbers and topological persistence offer a powerful means of describi…
Felix: A Topology based Framework for Visual Exploration of Cosmic Filaments
Nithin Shivshankar, Pratyush Pranav, Vijay Natarajan +3
The large-scale structure of the universe is comprised of virialized blob-like clusters, linear filaments, sheet-like walls and huge near empty three-dimensional voids. Characteriz…
Betti numbers of Gaussian fields
Changbom Park, Pratyush Pranav, Pravabati Chingangbam +6
We present the relation between the genus in cosmology and the Betti numbers for excursion sets of three- and two-dimensional smooth Gaussian random fields, and numerically investi…
Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web
Rien van de Weygaert, Gert Vegter, Herbert Edelsbrunner +13
We study the topology of the Megaparsec Cosmic Web in terms of the scale-dependent Betti numbers, which formalize the topological information content of the cosmic mass distributio…
Probing Dark Energy with Alpha Shapes and Betti Numbers
Rien van de Weygaert, Pratyush Pranav, Bernard J. T. Jones +8
We introduce a new descriptor of the weblike pattern in the distribution of galaxies and matter: the scale dependent Betti numbers which formalize the topological information conte…
Response of a galactic disc to vertical perturbations : Strong dependence on density distribution
Pratyush Pranav, Chanda J. Jog
We study the self-consistent, linear response of a galactic disc to non-axisymmetric perturbations in the vertical direction as due to a tidal encounter, and show that the density…