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The two-point statistics of the cosmic velocity field, measured from galaxy peculiar velocity (PV) surveys, can be used as a dynamical probe to constrain the growth rate of large-scale structures in the universe. Most works use the…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-07 Motonari Tonegawa , Stephen Appleby , Changbom Park , Sungwook E. Hong , Juhan Kim

The well-known self-similar solution for the two-point correlation function of the density field is valid only in an Einstein-de Sitter universe. We attempt to extend the solution for non-Einstein-de Sitter universes. For this purpose we…

Astrophysics · Physics 2009-11-07 Tatsushi Suginohara , Atsushi Taruya , Yasushi Suto

We investigate the spatial clustering of dark matter halos, collapsing from $1-4 \sigma$ fluctuations, in the redshift range $0 - 5$ using N-body simulations. The halo bias of high redshift halos ($z \geq 2$) is found to be strongly…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-19 Charles Jose , Cedric G. Lacey , Carlton M. Baugh

Covariances and variances of linear statistics of a point process can be written as integrals over the truncated two-point correlation function. When the point process consists of the eigenvalues of a random matrix ensemble, there are often…

Mathematical Physics · Physics 2022-05-04 Peter J. Forrester

The properties of the galaxy distribution at large scales are usually studied using statistics which are assumed to be self-averaging inside a given sample. We present a new analysis able to quantitatively map galaxy large scale structures…

Aims: We aim to characterise the multiscale statistical properties of the reconstructed velocity and density fields of the nearby universe, identify possible scaling regimes, quantify intermittency, and assess indications for the transition…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-10 Yves Grosdidier , Hélène M. Courtois

We search for the most suitable set of cosmological parameters that describes the observable universe. The search includes the possibility of quintessential flat universes, i.e., the analysis is restricted to the determination of the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Ariel Zandivarez , Hector J. Martinez

We make progress towards an analytical understanding of the regime of validity of perturbation theory for large scale structures and the nature of some non-perturbative corrections. We restrict ourselves to 1D gravitational collapse, for…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-17 Enrico Pajer , Drian van der Woude

We present in this paper a quantitative method for defining void size in large-scale structure based on percolation threshold density. Beginning with two-dimensional gravitational clustering simulations smoothed to the threshold of…

Astrophysics · Physics 2008-02-03 P. M. Harrington , A. L. Melott , S. F. Shandarin

Gravitational clustering in the nonlinear regime remains poorly understood. Gravity dual of gravitational clustering has recently been proposed as a means to study the nonlinear regime. The stable clustering ansatz remains a key ingredient…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-14 Dipak Munshi

By means of high-resolution N-body simulations in a LambdaCDM cosmology, we verify that scaling relations similar to those observed for nearby galaxy clusters are also defined by their dark matter hosts; the slopes, however, are not the…

Astrophysics · Physics 2016-03-23 B. Lanzoni , L. Ciotti , A. Cappi , G. Tormen , G. Zamorani

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 structures in the Universe is that they occupy a relatively…

Astrophysics · Physics 2009-10-28 B. S. Sathyaprakash , V. Sahni , S. F. Shandarin

The stable clustering hypothesis is a key analytical anchor on the nonlinear dynamics of gravitational clustering in cosmology. It states that on sufficiently small scales the mean pair velocity approaches zero, or equivalently, that the…

Astrophysics · Physics 2015-06-24 Bhuvnesh Jain

We study the viscoelasticity of surface polymer monolayers by measuring the dynamics of thermal concentration fluctuations with surface light scattering. For various systems of proteins and synthetic polymers we find a semi-dilute regime in…

Soft Condensed Matter · Physics 2009-11-10 Pietro Cicuta , Ian Hopkinson

I present a general discussion of the evolution and model-dependence of both the linear and nonlinear power spectrum of density fluctuations. The features of the linear power spectrum in cosmological models with cold dark matter (CDM) and…

Astrophysics · Physics 2009-10-31 Chung-Pei Ma

We use numerical simulations of ray tracing through N-body simulations to investigate weak lensing by large-scale structure. These are needed for testing the analytic predictions of two-point correlators, to set error estimates on them and…

Astrophysics · Physics 2007-05-23 Bhuvnesh Jain , Uros Seljak , Simon White

Several recent studies have shown how to properly calculate the observed clustering of galaxies in a relativistic context, and uncovered corrections to the Newtonian calculation that become significant on scales near the horizon. Here, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Donghui Jeong , Fabian Schmidt , Christopher M. Hirata

We use non-linear scaling relations (NSRs) to investigate the effects arising from the existence of negative correlations on the evolution of gravitational clustering in an expanding universe. It turns out that such anti-correlated regions…

Astrophysics · Physics 2009-11-06 Nissim Kanekar , T. Padmanabhan

We study nonparametric clustering of smooth random curves on the basis of the L2 gradient flow associated to a pseudo-density functional and we show that the clustering is well-defined both at the population and at the sample level. We…

Statistics Theory · Mathematics 2020-10-22 Mattia Ciollaro , Christopher R. Genovese , Daren Wang

Primordial fluctuations in the cosmic density are usually assumed to take the form of a Gaussian random field that evolves under the action of gravitational instability. In the early stages, while they have low amplitude, the fluctuations…

Astrophysics · Physics 2009-11-07 Peter Watts , Peter Coles