34 citations · 35 across the 3 of their papers we have counts for
6 papers
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…
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…