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We give a general framework for approximations to combinatorial assemblies, especially suitable to the situation where the number $k$ of components is specified, in addition to the overall size $n$. This involves a Poisson process, which,…

Probability · Mathematics 2016-07-06 Richard Arratia , Stephen DeSalvo

We apply various expansion schemes that may be used to study gravitational clustering to the simple case of the Zeldovich dynamics. Using the well-known exact solution of the Zeldovich dynamics we can compare the predictions of these…

Astrophysics · Physics 2009-11-13 Patrick Valageas

The possibility of measuring redshift space (RSD) distortions using photometric data have been recently highlighted. This effect complements and significantly alters the detectability of baryon acoustic oscillations (BAO) in photometric…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Martin Crocce , Enrique Gaztanaga , Anna Cabre , Aurelio Carnero , Eusebio Sanchez

We show that any $n\times m$ matrix $A$ can be approximated in operator norm by a submatrix with a number of columns of order the stable rank of $A$. This improves on existing results by removing an extra logarithmic factor in the size of…

Functional Analysis · Mathematics 2018-07-19 Omer Friedland , Pierre Youssef

We present new measurements of the redshift-space three-point correlation function (3PCF) of Luminous Red Galaxies (LRGs) from the Sloan Digital Sky Survey (SDSS). Using the largest dataset to date, the Data Release 7 (DR7) LRGs, and an…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Felipe Marin

We study the effect of nonperturbative corrections associated with the behavior of particles after shell crossing on the matter power spectrum. We compare their amplitude with the perturbative terms that can be obtained within the fluid…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Patrick Valageas

We study the prediction of the Effective Field Theory of Large Scale Structures (EFTofLSS) for the matter power spectrum at different redshifts. In previous work, we found that the two-loop prediction can match the nonlinear power spectrum…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-27 Simon Foreman , Leonardo Senatore

We discuss the angular correlation function of Sunyaev-Zel'dovich (SZ)-detected galaxy clusters as a cosmological probe. As a projection of the real-space cluster correlation function, the angular function samples the underlying SZ catalog…

Astrophysics · Physics 2009-11-07 S. Mei , J. G. Bartlett

We show that in a certain, angle-averaged squeezed limit, the $N$-point function of matter is related to the response of the matter power spectrum to a long-wavelength density perturbation,…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-09 Christian Wagner , Fabian Schmidt , Chi-Ting Chiang , Eiichiro Komatsu

We develop a Lagrangian Perturbation Theory (LPT) framework to study the clustering of cold dark matter (CDM) in cosmologies with massive neutrinos. We follow the trajectories of CDM particles with Lagrangian displacements fields up to…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-28 Alejandro Aviles , Arka Banerjee

We study four-point functions in Chern-Simons vector models in the large $N$ limit. We compute the four-point function of the scalar primary to all orders in the `t Hooft coupling $\lambda=N/k$ in $U(N)_k$ Chern-Simons theory coupled to a…

High Energy Physics - Theory · Physics 2018-01-08 Akshay Bedhotiya , Shiroman Prakash

Understanding the formation and evolution of large-scale structure is a central problem in cosmology and enables precise tests of General Relativity on cosmological scales and constraints on dark energy. An essential ingredient is an…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 Lile Wang , Beth Reid , Martin White

We compute the most general embedding space two-point function in arbitrary Lorentz representations in the context of the recently introduced formalism in arXiv:1905.00036 and arXiv:1905.00434. This work provides a first explicit…

High Energy Physics - Theory · Physics 2020-05-20 Jean-François Fortin , Valentina Prilepina , Witold Skiba

Using a Green's function approach, we compare the trajectories of classical Hamiltonian point particles in an expanding space-time to the effectively inertial trajectories in the Zel'dovich approximation. It is shown that the effective…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Matthias Bartelmann

We have written a {\it Mathematica} program that calculates the integrand corresponding to any amplitude in the closed-time-path formulation of real time statistical field theory. The program is designed so that it can be used by someone…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. E. Carrington , T. Fugleberg , D. S. Irvine , D. Pickering

We extend the multi-tracer (MT) formalism of the effective field theory of large-scale structure to redshift space, comparing the results of MT to a single-tracer analysis when extracting cosmological parameters from simulations. We used a…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-12 Thiago Mergulhão , Henrique Rubira , Rodrigo Voivodic

One of the main obstacles for the signal extraction of the three point correlation function using photometric surveys, such as the Rubin Observatory Legacy Survey of Space and Time (LSST), will be the prohibitive computation time required…

The power spectrum response function of the large-scale structure of the Universe describes how the evolved power spectrum is modified by a small change in initial power through non-linear mode coupling of gravitational evolution. It was…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-30 Anaëlle Halle , Takahiro Nishimichi , Atsushi Taruya , Stéphane Colombi , Francis Bernardeau

The search for the conjectured QCD critical point in heavy-ion collisions requires to account for far-from equilibrium effects as well as fluctuations, and in particular non-Gaussian fluctuations, in the modeling of the dynamics of the hot…

High Energy Physics - Theory · Physics 2025-04-29 Navid Abbasi , Dirk H. Rischke

We present an improved prescription for matter power spectrum in redshift space taking a proper account of both the non-linear gravitational clustering and redshift distortion, which are of particular importance for accurately modeling…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Atsushi Taruya , Takahiro Nishimichi , Shun Saito