Is the observable Universe consistent with the cosmological principle? PK Aluri, P Cea, P Chingangbam, MC Chu, RG Clowes, D Hutsemékers, ... Classical and Quantum Gravity 40 (9), 094001, 2023 | 148 | 2023 |
The topology of the cosmic web in terms of persistent Betti numbers P Pranav, H Edelsbrunner, R Van de Weygaert, G Vegter, M Kerber, ... Monthly Notices of the Royal Astronomical Society 465 (4), 4281-4310, 2017 | 130 | 2017 |
Alpha, betti and the megaparsec universe: on the topology of the cosmic web R Van De Weygaert, G Vegter, H Edelsbrunner, BJT Jones, P Pranav, ... Transactions on Computational Science XIV: Special Issue on Voronoi Diagrams …, 2011 | 107 | 2011 |
Felix: A topology based framework for visual exploration of cosmic filaments N Shivashankar, P Pranav, V Natarajan, R van de Weygaert, EGP Bos, ... IEEE Transactions on Visualization and Computer Graphics 22 (6), 1745-1759, 2015 | 95 | 2015 |
Betti numbers of Gaussian fields C Park, P Pranav, P Chingangbam, R Van De Weygaert, B Jones, ... Journal of The Korean Astronomical Society 46, 125-131, 2013 | 69 | 2013 |
Topology and geometry of Gaussian random fields I: on Betti numbers, Euler characteristic, and Minkowski functionals P Pranav, R Van de Weygaert, G Vegter, BJT Jones, RJ Adler, ... Monthly Notices of the Royal Astronomical Society 485 (3), 4167-4208, 2019 | 60 | 2019 |
Unexpected topology of the temperature fluctuations in the cosmic microwave background P Pranav, RJ Adler, T Buchert, H Edelsbrunner, BJT Jones, ... Astronomy & Astrophysics 627, A163, 2019 | 48 | 2019 |
Stochastic homology of Gaussian vs. non-Gaussian random fields: graphs towards Betti numbers and persistence diagrams J Feldbrugge, M Van Engelen, R van de Weygaert, P Pranav, G Vegter Journal of Cosmology and Astroparticle Physics 2019 (09), 052, 2019 | 43 | 2019 |
Modeling and replicating statistical topology and evidence for CMB nonhomogeneity RJ Adler, S Agami, P Pranav Proceedings of the National Academy of Sciences 114 (45), 11878-11883, 2017 | 42 | 2017 |
Persistent homology of the cosmic web–I. Hierarchical topology in ΛCDM cosmologies G Wilding, K Nevenzeel, R van de Weygaert, G Vegter, P Pranav, ... Monthly Notices of the Royal Astronomical Society 507 (2), 2968-2990, 2021 | 31 | 2021 |
Minkowski functionals of SDSS-III BOSS: hints of possible anisotropy in the density field? S Appleby, C Park, P Pranav, SE Hong, HS Hwang, J Kim, T Buchert The Astrophysical Journal 928 (2), 108, 2022 | 27 | 2022 |
Probing dark energy with alpha shapes and betti numbers R van de Weygaert, P Pranav, BJT Jones, EG Bos, G Vegter, ... arXiv preprint arXiv:1110.5528, 2011 | 13 | 2011 |
Response of a galactic disc to vertical perturbations: strong dependence on density distribution P Pranav, CJ Jog Monthly Notices of the Royal Astronomical Society 406 (1), 576-585, 2010 | 10 | 2010 |
Anomalies in the topology of the temperature fluctuations in the cosmic microwave background: An analysis of the NPIPE and FFP10 data releases P Pranav Astronomy & Astrophysics 659, A115, 2022 | 7 | 2022 |
Estimation of expected Euler characteristic curves of nonstationary smooth random fields FJE Telschow, D Cheng, P Pranav, A Schwartzman The Annals of Statistics 51 (5), 2272-2297, 2023 | 6* | 2023 |
Persistent holes in the Universe: A (hierarchical) topology of the cosmic mass distribution P Pranav PhD Thesis, University of Groningen, 2015 | 5 | 2015 |
Computational Topology for Biomedical Images and Data: Theory and Applications [Book Review] P Pranav IEEE Signal Processing Magazine 38 (4), 130-131, 2021 | 4 | 2021 |
Topology and geometry of Gaussian random fields II: on critical points, excursion sets, and persistent homology P Pranav arXiv preprint arXiv:2109.08721, 2021 | 2 | 2021 |
Loops abound in the cosmic microwave background: A anomaly on super-horizon scales P Pranav arXiv preprint arXiv:2101.02237, 2021 | 2 | 2021 |
Homology reveals significant anisotropy in the cosmic microwave background P Pranav, T Buchert arXiv preprint arXiv:2308.10738, 2023 | 1 | 2023 |