Reverse chronological
- P. Pranav. Anomalies in the topology of the temperature fluctuations in the cosmic microwave background: An analysis of the NPIPE and FFP10 datasets. Astronomy & Astrophysics, 659, A115, (2022). [DOI: 10.1051/0004-6361/202140291]
- S. Appleby, C.Park, P. Pranav, S. E. Hong, Ho S. Hwang, J. Kim, T. Buchert. Minkowski Functionals of SDSS-III BOSS: Hints of Possible Anisotropy in the Density Field? The Astrophysical Journal, 928 (2), 108 (2022). [ paper]
- P. Pranav.
Loops abound in the cosmic microwave background.
arXiv:2101.02237 (2021).
[Paper] - G. Wilding, K. Nevenzeel, R. van de Weygaert, G. Vegter, P. Pranav, B. J. T. Jones, K. Efstathiou, J. Feldbrugge. Persistent homology of the cosmic web. I: Hierarchical topology in LCDM cosmologies. Monthly Notices of the Royal Astronomical Society, 507 (2), 2968-2990, (2021). [Paper]
- P. Pranav, R. J. Adler, T. Buchert, H. Edelsbrunner, B. J. T. Jones, A. Schwartzman, H. Wagner, and R. Van de Weygaert,. Unexpected topology of the temperature fluctuations in the cosmic microwave background. Astronomy & Astrophysics, 627, A163 (2019). [Paper]
- P. Pranav, R. Van de Weygaert, G. Vegter, B. J. T. Jones, R. J. Adler, J. Feldbrugge, C. Park, T. Buchert, and M. Kerber. Topology and geometry of Gaussian random fields I: on Betti numbers, Euler characteristic, and Minkowski functionals. Monthly Notices of the Royal Astronomical Society, 485, 3, 4167–4208 (2019). [Paper]
- F. Telschow, D. Cheng, P. Pranav, and A. Schwartzman. Estimation of expected Euler characteristic curves of non-stationary smooth Gaussian random fields. arXiv preprint , arXiv:1908.02493 (2019). [Paper]
- J. Feldbrugge, M. van Engelen, R. van de Weygaert, P. Pranav, and G. Vegter. Stochastic homology of Gaussian vs. non-Gaussian random fields: graphs towards Betti numbers and persistence diagrams. Journal of Cosmology and Astroparticle Physics, 2019 (9), 052, (2019). [Paper]
- R. J. Adler, S. Agami, and P. Pranav. Modelling and replicating statistical topology, and evidence for CMB non-homogeneity. Proceedings of the National Academy of Sciences, 114 (45), 11878-11883, (2017). [Paper]
- P. Pranav, H. Edelsbrunner, R. Van de Weygaert, G. Vegter, M. Kerber, B. J. T. Jones, and M. Wintraecken. The topology of the cosmic web in terms of persistent Betti numbers. Monthly Notices of the Royal Astronomical Society, 465(4), 4281-4310, (2016). [Paper]
- P. Pranav. Persistent holes in the Universe: A (hierarchical) topology of the cosmic mass distribution. University of Groningen, PhD Thesis, (2015). [Official link]
- N. Shivshankar, P. Pranav, V. Natarajan, R. van de Weygaert, E. G. P. Bos, and S. Reider. Felix: A topology based framework for visual exploration of cosmic filaments. IEEE Transactions on Visualizations and Computer Graphics, 22 (6), 1745-1759, (2015). [Paper]
- C. Park, P. Pranav, P. Chingangbam, R. van de Weygaert, B. J. T. Jones, G. Vegter, I. Kim, J. Hidding, and W. Hellwing. Betti numbers of Gaussian random fields. Journal of the Korean Astronomical Society, 46, 125-131, (2013). [Paper]
- R. van de Weygaert, P. Pranav, B. J. T. Jones, E. G. P. Bos, G. Vegter, H. Edelsbrunner, M. Teillaud, W. A. Hellwing, C. Park, J. Hidding, and M. Wintraecken. Probing dark energy with alpha shapes and Betti numbers. arXiv preprint , arXiv:1110.5528 (2011). [Paper]
- R. van de Weygaert, G. Vegter, H. Edelsbrunner, B. J. T. Jones, P. Pranav, C. Park, W. Hellwing et. al.. Alpha, Betti and the megaparsec universe: on the topology of the cosmic web. Transactions on Computational Science, 14, 60–101, Springer Verlag, (2011). [Paper]
- P. Pranav, and C. J. Jog. Response of a galactic disk to vertical perturbations: strong dependence on density distribution. Monthly Notices of the Royal Astronomical Society, 406 (1), 576-585, 2010. [Paper]
Book Review
- I was recently invited to review the book Computational topology for Biomedical Images and Data: Theory and Applications, by Rodrigo R. Moraleda, Nektarios A. Valous, Wei Xiong, and Niels Halama. The reviewed manuscript appeared in the IEEE Signal Processing Magazine (SPM), Volume 38, Issue 4, July 2021.
[DOI: 110.1109/MSP.2021.3075187]