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We discuss the constraints imposed on the nonlinear evolution of the Large Scale Structure (LSS) of the universe by galilean invariance, the symmetry relevant on subhorizon scales. Using Ward identities associated to the invariance, we…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Marco Peloso , Massimo Pietroni

We present exact kinematic consistency relations for cosmological structures that do not vanish at equal times and can thus be measured in surveys. These rely on cross-correlations between the density and velocity, or momentum, fields.…

Cosmology and Nongalactic Astrophysics · Physics 2017-02-08 Luca Alberto Rizzo , David F. Mota , Patrick Valageas

Consistency relations, which relate the squeezed limit of an (N+1)-point correlation function to an N-point function, are non-perturbative symmetry statements that hold even if the associated high momentum modes are deep in the nonlinear…

High Energy Physics - Theory · Physics 2015-10-07 Bart Horn , Lam Hui , Xiao Xiao

Consistency relations involving the soft limit of the (n + 1)-correlator functions of dark matter and galaxy overdensities can be obtained, both in real and redshift space, thanks to the symmetries enjoyed by the Newtonian equations of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Alexandros Kehagias , Jorge Noreña , Hideki Perrier , Antonio Riotto

We describe how the kinematic consistency relations satisfied by density correlations of the large-scale structures of the Universe can be derived within the usual Newtonian framework. These relations express a kinematic effect and show how…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Patrick Valageas

Linear halo bias is the response of dark matter halo number density to a long wavelength fluctuation in the dark matter density. Using abundance matching between separate universe simulations which absorb the latter into a change in the…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-23 Yin Li , Wayne Hu , Masahiro Takada

We study the symmetries enjoyed by the Newtonian equations of motion of the non-relativistic dark matter fluid coupled to gravity which give rise to the phenomenon of gravitational instability. We also discuss some consistency relations…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 A. Kehagias , A. Riotto

We explore the growth of structure in multi-species wave (and particle) dark matter. We derive the evolution of the power spectrum of total density contrasts for an arbitrary number of component species, density fractions, and initial field…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-21 Mustafa A. Amin , M. Sten Delos

We investigate how the consistency relations of large-scale structures are modified when the initial density field is not Gaussian. We consider both scenarios where the primordial density field can be written as a nonlinear functional of a…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-22 Patrick Valageas , Atsushi Taruya , Takahiro Nishimichi

We discuss the consistency relations involving the soft limit of the (n + 1)-correlator functions of dark matter at equal times and their consequences for the halo model.

Cosmology and Nongalactic Astrophysics · Physics 2014-09-25 Alex Kehagias , Hideki Perrier , Antonio Riotto

Properties of galaxies like their absolute magnitude and their stellar mass content are correlated. These correlations are tighter for close pairs of galaxies, which is called galactic conformity. In hierarchical structure formation…

Astrophysics of Galaxies · Physics 2018-07-25 Martin Kerscher

We study infrared effects in perturbation theory for large-scale structure coupled to the effective field theory of dark energy, focusing on, in particular, Degenerate Higher-Order Scalar-Tensor (DHOST) theories. In the subhorizon,…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-02 Matthew Lewandowski

This paper establishes the global well-posedness of the multi-species Boltzmann equation with large-amplitude initial data in the periodic domain $\mathbb{T}^3$. In contrast to the single-species case, the multi-species mixture model lacks…

Analysis of PDEs · Mathematics 2026-05-12 Gyounghun Ko , Myeong-Su Lee , Sung-Jun Son

Self-arrangement of individuals into spatial patterns often accompanies and promotes species diversity in ecological systems. Here, we investigate pattern formation arising from cyclic dominance of three species, operating near a…

Populations and Evolution · Quantitative Biology 2008-08-31 Tobias Reichenbach , Erwin Frey

Super-homogeneity is a property that is supposed to be satisfied by matter fluctuations in all standard theoretical models of structure formation, such as LCDM and its variants. This is a global condition on the correlation properties of…

Cosmology and Nongalactic Astrophysics · Physics 2010-11-15 Francesco Sylos Labini

We analyze the early stage of evolution of a universe with two scale factors proposed in [1] when matter is present. The scale factors describe two causally disconnected patches of the universe interacting trough a non-trivial Poisson…

General Relativity and Quantum Cosmology · Physics 2021-06-09 Carlos Maldonado , Fernando Mendez

Halos and galaxies are tracers of the underlying dark matter structures. While their bias is well understood in the case of a simple Universe composed dominantly of dark matter, the relation becomes more complex in the presence of massive…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-26 Christian Fidler , Nils Sujata , Maria Archidiacono

We study perturbation theory for large-scale structure in the most general scalar-tensor theories propagating a single scalar degree of freedom, which include Horndeski theories and beyond. We model the parameter space using the effective…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-09 Marco Crisostomi , Matthew Lewandowski , Filippo Vernizzi

The protohalo patches from which halos form are defined by a number of constraints imposed on the Lagrangian dark matter density field. Each of these constraints contributes to biasing the spatial distribution of the protohalos relative to…

Cosmology and Nongalactic Astrophysics · Physics 2017-04-19 Kwan Chuen Chan , Ravi K. Sheth , Roman Scoccimarro

We present a new universal relation, satisfied by matter distributions at all observed scales, and show its amazingly good and detailed agreement with the predictions of the most up-to-date pure dark matter simulations of structure…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-13 Alexey Boyarsky , Oleg Ruchayskiy , Dmytro Iakubovskyi , Andrea V. Maccio' , Denys Malyshev
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