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The power spectrum of weak lensing fluctuations has a non-Gaussian distribution due to its quadratic nature. On small scales the Central Limit Theorem acts to Gaussianize this distribution but non-Gaussianity in the signal due to…

宇宙学与河外天体物理 · 物理学 2022-06-29 Alex Hall , Andy Taylor

We consider the standard model with local scale invariance. The theory shows exact scale invariance of dimensionally regulated action. We show that massless gauge fields, which may be abelian or non-abelian, lead to vanishing contribution…

高能物理 - 唯象学 · 物理学 2010-08-19 Pavan K. Aluri , Pankaj Jain , Subhadip Mitra , Sukanta Panda , Naveen K. Singh

This paper develops an in-depth treatment concerning the problem of approximating the Gaussian smoothing and Gaussian derivative computations in scale-space theory for application on discrete data. With close connections to previous…

计算机视觉与模式识别 · 计算机科学 2024-06-25 Tony Lindeberg

We derive a scale-free bound on the density of the maximum of a centered Gaussian vector. The basic bound is non-uniform, depends logarithmically on the dimension, and allows any covariance matrix. When the largest marginal variance is…

统计理论 · 数学 2026-05-29 Suhas Vijaykumar

We analyze the consequences of models of structure formation for higher-order ($n$-point) galaxy correlation functions in the mildly non-linear regime. Several variations of the standard $\Omega=1$ cold dark matter model with…

天体物理学 · 物理学 2016-08-30 Joshua A. Frieman , Enrique Gaztanaga

Change and local spatial variation are missing in Hamiltonian General Relativity according to the most common definition of observables (0 Poisson bracket with all first-class constraints). But other definitions have been proposed. Seeking…

综合物理 · 物理学 2019-09-16 J. Brian Pitts

Scale-dependent gravity is an extension of general relativity in which the Newton and cosmological constants may vary slightly with the energy scale due to remnant low-energy quantum effects. A fundamental feature of this approach is the…

广义相对论与量子宇宙学 · 物理学 2026-02-03 Nicolas R. Bertini , Marcos H. Novaes

We propose a general formalism for galaxy biasing and apply it to methods for measuring cosmological parameters, such as regression of light versus mass, the analysis of redshift distortions, measures involving skewness and the cosmic…

天体物理学 · 物理学 2009-10-30 Avishai Dekel , Ofer Lahav

We study the halo bispectrum from non-Gaussian initial conditions. Based on a set of large $N$-body simulations starting from initial density fields with local type non-Gaussianity, we find that the halo bispectrum exhibits a strong…

宇宙学与河外天体物理 · 物理学 2014-11-20 Takahiro Nishimichi , Atsushi Taruya , Kazuya Koyama , Cristiano Sabiu

We investigate the cosmological dependence and the constraining power of large-scale galaxy correlations, including all redshift-distortions, wide-angle, lensing and gravitational potential effects on linear scales. We analyze the…

宇宙学与河外天体物理 · 物理学 2016-05-25 Alvise Raccanelli , Francesco Montanari , Daniele Bertacca , Olivier Doré , Ruth Durrer

In this paper we study the asymptotics of linear regression in settings with non-Gaussian covariates where the covariates exhibit a linear dependency structure, departing from the standard assumption of independence. We model the covariates…

机器学习 · 统计学 2024-12-10 Behrad Moniri , Hamed Hassani

A highly non-gaussian cosmological perturbation with a flat spectrum has unusual stochastic properties. We show that they depend on the size of the box within which the perturbation is defined, but that for a typical observer the parameters…

天体物理学 · 物理学 2011-05-05 Lotfi Boubekeur , David. H. Lyth

In this paper we test the perturbative halo bias model at the field level. The advantage of this approach is that any analysis can be done without sample variance if the same initial conditions are used in simulations and perturbation…

宇宙学与河外天体物理 · 物理学 2019-08-14 Marcel Schmittfull , Marko Simonović , Valentin Assassi , Matias Zaldarriaga

We study the impact that large-scale perturbations of (i) the matter density and (ii) the primordial gravitational potential with local primordial non-Gaussianity (PNG) have on galaxy formation using the IllustrisTNG model. We focus on the…

宇宙学与河外天体物理 · 物理学 2020-12-09 Alexandre Barreira , Giovanni Cabass , Fabian Schmidt , Annalisa Pillepich , Dylan Nelson

Fry (1996) showed that galaxy bias has the tendency to evolve towards unity, i.e. in the long run, the galaxy distribution tends to trace that of matter. Generalizing slightly Fry's reasoning, we show that his conclusion remains valid in…

天体物理学 · 物理学 2008-11-26 Lam Hui , Kyle P. Parfrey

We explore possible cosmological consequences of a running Newton's constant $ G ( \Box ) $, as suggested by the non-trivial ultraviolet fixed point scenario in the quantum field-theoretic treatment of Einstein gravity with a cosmological…

广义相对论与量子宇宙学 · 物理学 2011-09-08 Herbert W. Hamber , Reiko Toriumi

We advance scale-invariance arguments for systems that are governed (or approximated) by a $q-$Gaussian distribution, i.e., a power law distribution with exponent $Q=1/(1-q); q \in \mathbb{R}$. The ensuing line of reasoning is then compared…

统计力学 · 物理学 2009-11-11 C. Vignat , A. Plastino

Likelihood analysis is typically limited to normally distributed noise due to the difficulty of determining the probability density function of complex, high-dimensional, non-Gaussian, and anisotropic noise. This is a major limitation for…

天体物理仪器与方法 · 物理学 2023-06-14 Ronan Legin , Alexandre Adam , Yashar Hezaveh , Laurence Perreault Levasseur

Primordial non-Gaussianities are key quantities to test early universe scenarios. In this paper, we compute full bispectra of scalar and tensor perturbations generated during a contracting phase in a general bounce model. The general bounce…

宇宙学与河外天体物理 · 物理学 2025-02-21 Shingo Akama

Long-short mode coupling during inflation, encoded in the squeezed bispectrum of curvature perturbations, induces a dependence of the local, small-scale power spectrum on long-wavelength perturbations, leading to a scale-dependent halo…

宇宙学与河外天体物理 · 物理学 2018-09-19 Giovanni Cabass , Enrico Pajer , Fabian Schmidt
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