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Transport through generalized trees is considered. Trees contain the simple nodes and supernodes, either well-structured regular subgraphs or those with many triangles. We observe a superdiffusion for the highly connected nodes while it is…

Disordered Systems and Neural Networks · Physics 2009-11-11 D. Volchenkov , Ph. Blanchard

We give a concise, self-contained introduction to perturbation theory in cosmology at linear and second order, striking a balance between mathematical rigour and usability. In particular we discuss gauge issues and the active and passive…

Astrophysics · Physics 2009-06-23 Karim A. Malik , David R. Matravers

For bouncing cosmologies such as the ekpyrotic/cyclic scenarios we show that it is possible to make predictions for density perturbations which are independent of the details of the bouncing phase. This can be achieved, as in inflationary…

High Energy Physics - Theory · Physics 2009-11-10 Paolo Creminelli , Alberto Nicolis , Matias Zaldarriaga

The main effect of massive neutrinos on the large-scale structure consists in a few percent suppression of matter perturbations on all scales below their free-streaming scale. Such effect is of particular importance as it allows to…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-13 Rossana Ruggeri , Emanuele Castorina , Carmelita Carbone , Emiliano Sefusatti

Percolation theory is usually applied to lattices with a uniform probability p that a site is occupied or that a bond is closed. The more general case, where p is a function of the position x, has received less attention. Previous studies…

Statistical Mechanics · Physics 2012-10-23 Michael T Gastner , Beata Oborny

There has been some recent activity in trying to understand the dark matter clustering properties in the quasilinear regime, through resummation of perturbative terms, otherwise known as the renormalized perturbation theory…

Astrophysics · Physics 2008-11-26 Niayesh Afshordi

Velocity dispersion of the massive neutrinos presents a daunting challenge for non-linear cosmological perturbation theory. We consider the neutrino population as a collection of non-linear fluids, each with uniform initial momentum,…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-18 Joe Zhiyu Chen , Amol Upadhye , Yvonne Y. Y. Wong

Perturbation theory is an indispensable tool for studying the cosmic large-scale structure, and establishing its limits is therefore of utmost importance. One crucial limitation of perturbation theory is shell-crossing, which is the…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-25 Cornelius Rampf , Oliver Hahn

Modifications of general relativity provide an alternative explanation to dark energy for the observed acceleration of the universe. We calculate quasilinear effects in the growth of structure in f(R) models of gravity using perturbation…

Astrophysics · Physics 2009-10-29 Alex Borisov , Bhuvnesh Jain

We further develop the description of redshift space distortions within the Effective Field Theory of Large Scale Structures. First, we generalize the counterterms to include the effect of baryonic physics and primordial non-Gaussianity.…

Cosmology and Nongalactic Astrophysics · Physics 2018-04-04 Matthew Lewandowski , Leonardo Senatore , Francisco Prada , Cheng Zhao , Chia-Hsun Chuang

I discuss new results concerning the evolution of the bispectrum due to gravitational instability from gaussian initial conditions using one-loop perturbation theory (PT). Particular attention is paid to the transition from weakly…

Astrophysics · Physics 2007-05-23 Roman Scoccimarro

The perturbation theory with a variational basis is constructed and analyzed.The generalized Gaussian effective potential is introduced and evaluated up to the second order for selfinteracting scalar fields in one and two spatial…

High Energy Physics - Theory · Physics 2014-11-18 Paolo Cea , Luigi Tedesco

We compute the covariance of the galaxy power spectrum multipoles in perturbation theory, including the effects of nonlinear evolution, nonlinear and nonlocal bias, radial redshift-space distortions, arbitrary survey window and shot noise.…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-08 Digvijay Wadekar , Roman Scoccimarro

Observing large scale structure in redshift space gives rise to the well known redshift space distortions whereby a spherical distribution of galaxies is distorted into an ellipsoid along the line of sight of the observer. This effect is…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-06 Pritha Paul , Chris Clarkson

We develop a model-independent approach to lagrangian perturbation theory for the large scale structure of the universe. We focus on the displacement field for dark matter particles, and derive its most general structure without assuming a…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-27 Marco Marinucci , Kevin Pardede , Massimo Pietroni

I discuss a scheme to match perturbative and non-perturbative physics with power accuracy in the heavy-quark effective theory. I elaborate on two important aspects of the scheme: 1) a multi-loop subtraction of soft contributions from the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Xiangdong Ji

We investigate the building of unified models that can predict the matter-density power spectrum and the two-point correlation function from very large to small scales, being consistent with perturbation theory at low $k$ and with halo…

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

We apply the scale-length method to several three dimensional samples of the Two degree Field Galaxy Redshift Survey. This method allows us to map in a quantitative and powerful way large scale structures in the distribution of galaxies…

Astrophysics · Physics 2009-08-03 Francesco Sylos Labini , Nikolay L. Vasilyev , Yurij V. Baryshev

The dipole anomaly in the power spectrum of CMB may indicate that the Lorentz boost invarianc is violated at cosmic scale. We assume that the Lorentz symmetry is violated partly from the scale of galaxy. We employ the symmetry of very…

General Relativity and Quantum Cosmology · Physics 2015-10-20 Yiwei Wu , Xun Xue , Lixiang Yang , Tzu-Chiang Yuan
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