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The trace anomaly of dense matter, $\Delta \equiv 1/3 - P/\varepsilon$, defined through the ratio $w \equiv P/\varepsilon$ of pressure $P$ to energy density $\varepsilon$, quantifies deviations from conformal symmetry and provides a…

核理论 · 物理学 2026-05-18 Bao-An Li

The fully general calculation of the cosmic error on N-point correlation functions and related quantities is presented. More precisely, the variance caused by the finite volume, discreteness, and edge effects is determined for {\em any}…

天体物理学 · 物理学 2016-11-23 I. Szapudi

We examine the effect of a threshold bias on the power spectrum and the bispectrum in an ensemble of numerical simulations (Gaussian initial perturbations with power law spectra P(k) \sim k^n, n=+1, 0, -1, -2) and compare our results with…

天体物理学 · 物理学 2015-06-24 J. N. Fry , Adrian L. Melott , Sergei F. Shandarin

We present the analysis of the $N$-boson spectrum computed using a soft two-body potential the strength of which has been varied in order to cover an extended range of positive and negative values of the two-body scattering length $a$ close…

量子气体 · 物理学 2015-06-19 A. Kievsky , N. K. Timofeyuk , M. Gattobigio

We propose a strategy to measure the dark matter power spectrum using minimal assumptions about the galaxy distribution and the galaxy-dark matter cross-correlations. We argue that on large scales the central limit theorem generically…

天体物理学 · 物理学 2009-10-30 Ue-Li Pen

We present an approximation scheme to solve the Non Perturbative Renormalization Group equations and obtain the full momentum dependence of the $n$-point functions. It is based on an iterative procedure where, in a first step, an initial…

高能物理 - 理论 · 物理学 2008-11-26 J. P. Blaizot , R. Mendez-Galain , N. Wschebor

We report on calculations of smoothed spectral correlations in the two-dimensional Anderson model for weak disorder. As pointed out in (M. Wilkinson, J. Phys. A: Math. Gen. 21, 1173 (1988)), an analysis of the smoothing dependence of the…

无序系统与神经网络 · 物理学 2009-10-31 Ville Uski , Bernhard Mehlig , Rudolf A. Roemer , Michael Schreiber

In a companion paper (hep-th/0512317), we have presented an approximation scheme to solve the Non Perturbative Renormalization Group equations that allows the calculation of the $n$-point functions for arbitrary values of the external…

高能物理 - 理论 · 物理学 2008-11-26 Jean-Paul Blaizot , Ramon Mendez-Galain , Nicolas Wschebor

Using the second-order Eulerian perturbation theory (SEPT), we study the three-point correlation function $\zeta$ in the quasilinear regime for the SCDM, LCDM and MDM models, with the interesting result that these three models have…

天体物理学 · 物理学 2011-05-23 Y. P. Jing , G. Boerner

Predicting the response of a system to perturbations is a key challenge in mathematical and natural sciences. Under suitable conditions on the nature of the system, of the perturbation, and of the observables of interest, response theories…

统计力学 · 物理学 2017-09-13 Valerio Lucarini , Jeroen Wouters

The coordinates along any fixed direction(s), of points on the sphere $S^{n-1}(\sqrt{n})$, roughly follow a standard Gaussian distribution as $n$ approaches infinity. We revisit this classical result from a nonstandard analysis perspective,…

概率论 · 数学 2024-10-17 Irfan Alam

The upcoming generation of galaxy surveys will probe the distribution of matter in the universe with unprecedented accuracy. Measurements of the matter power spectrum at different scales and redshifts will provide stringent constraints on…

宇宙学与河外天体物理 · 物理学 2014-11-25 Linda Blot , Pier Stefano Corasaniti , Jean-Michel Alimi , Vincent Reverdy , Yann Rasera

Measuring the volume weighted velocity power spectrum suffers from a severe systematic error, due to imperfect sampling of the velocity field from inhomogeneous distribution of dark matter particles/halos in simulations or galaxies with…

宇宙学与河外天体物理 · 物理学 2015-03-10 Yi Zheng , Pengjie Zhang , Yipeng Jing

We present new results for the 3-point correlation function, \zeta, measured as a function of scale, luminosity and colour from the final version of the two-degree field galaxy redshift survey (2dFGRS). The reduced three point correlation…

天体物理学 · 物理学 2009-11-11 E. Gaztanaga , P. Norberg , C. M. Baugh , D. J. Croton

We study sequences of scaled edge-corrected empirical (generalized) K-functions (modifying Ripley's K-function) each of them constructed from a single observation of a $d$-dimensional fourth-order stationary point process in a sampling…

统计理论 · 数学 2017-06-06 Lothar Heinrich

Using a discrete wavelet based space-scale decomposition (SSD), the spectrum of the skewness and kurtosis is developed to describe the non-Gaussian signatures in cosmologically interesting samples. Because the basis of the discrete wavelet…

天体物理学 · 物理学 2007-05-23 Jesus Pando , Li-Zhi Fang

The {\it Linear Point} (LP), defined as the midpoint between the BAO peak and the associated left dip of the two-point correlation function (2PCF), $\xi(s)$, is proposed as a new standard ruler which is insensitive to nonlinear effects. In…

宇宙学与河外天体物理 · 物理学 2023-08-02 Mengfan He , Cheng Zhao , Huanyuan Shan

Nuclear matter properties are calculated in the relativistic mean field theory by using a number of different parameter sets. The result shows that the volume energy $a_1$ and the symmetry energy $J$ are around the acceptable values 16MeV…

核理论 · 物理学 2009-11-07 K. C. Chung , C. S. Wang , A. J. Santiago , J. W. Zhang

We measure the power spectrum of galaxy clustering in real space from the APM Galaxy Survey. We present an improved technique for the numerical inversion of Limber's equation that relates the angular clustering of galaxies to an integral…

天体物理学 · 物理学 2009-11-07 N. D. Padilla , C. M. Baugh

We investigate the elastic scattering cross section between dark matter and protons using the DES Year 3 weak lensing data. This scattering induces a dark acoustic oscillation structure in the matter power spectra. To address non-linear…

宇宙学与河外天体物理 · 物理学 2024-08-07 Chi Zhang , Lei Zu , Hou-Zun Chen , Yue-Lin Sming Tsai , Yi-Zhong Fan