361 citations · 2.7k across the 64 of their papers we have counts for
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Probing Large Scale Structure using Percolation and Genus Curves
Varun Sahni, B. S. Sathyaprakash, S. F. Shandarin
We study topological properties of large scale structure in a set of scale free N-body simulations using the genus and percolation curves as topological characteristics. Our result…
Demonstrating Discreteness and Collision Error in Cosmological N-body Simulations of Dark Matter Gravitational Clustering
A. L. Melott, S. F. Shandarin, R. J. Splinter +1
Two-body scattering and other discreteness effects are unimportant in cosmological gravitational clustering in most scenarios, since the dark matter has a small particle mass. The…
A Test of the Particle Paradigm in N-Body Simulations
B. Kuhlman, A. L. Melott, S. F. Shandarin
We present results of tests of the evolution of small ``fluid elements'' in cosmological N--body simulations, to examine the validity of their treatment as particles. We find that…
Modeling Gravitational Clustering without Computing Gravitational Force
Sergei F. Shandarin, B. S. Sathyaprakash
The large-scale structure in the Universe is believed to arise out of small random density perturbations generated in the very early Universe, that are amplified by gravity. Large…
Percolation Analysis of a Wiener Reconstruction of the IRAS 1.2 Jy Redshift Catalog
Capp Yess, Sergei F. Shandarin, Karl B. Fisher
We present percolation analyses of Wiener Reconstructions of the IRAS 1.2 Jy Redshift Survey. There are ten reconstructions of galaxy density fields in real space spanning the rang…
Emergence of Filamentary Structure in Cosmological Gravitational Clustering
B. S. Sathyaprakash, V. Sahni, S. F. Shandarin
The morphological nature of structures that form under gravitational instability has been of central interest to cosmology for over two decades. A remarkable feature of large scale…