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Due to late time non-linearities, the location of the acoustic peak in the two-point galaxy correlation function is a redshift-dependent quantity, thus it cannot be simply employed as a cosmological standard ruler. This has motivated the…

Cosmology and Nongalactic Astrophysics · Physics 2018-08-01 Stefano Anselmi , Pier-Stefano Corasaniti , Glenn D. Starkman , Ravi K. Sheth , Idit Zehavi

The linear point (LP) standard ruler was identified as the basis of a purely geometric method for exploiting the Baryon Acoustic Oscillations (BAO). The LP exploits the BAO feature imprinted in the galaxy two-point correlation function to…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-05 Stefano Anselmi , Glenn D. Starkman , Alessandro Renzi

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…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-02 Mengfan He , Cheng Zhao , Huanyuan Shan

We show how a characteristic length scale imprinted in the galaxy two-point correlation function, dubbed the "linear point", can serve as a comoving cosmological standard ruler. In contrast to the Baryon Acoustic Oscillation peak location,…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-18 Stefano Anselmi , Glenn D. Starkman , Pier-Stefano Corasaniti , Ravi K. Sheth , Idit Zehavi

The Baryon Acoustic Oscillations feature (BAO) imprinted in the clustering correlation function is known to furnish us cosmic distance determinations that are independent of the cosmological-background model and the primordial perturbation…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-22 Márcio O'Dwyer , Stefano Anselmi , Glenn D. Starkman , Pier-Stefano Corasaniti , Ravi K. Sheth , Idit Zehavi

Leveraging the Baryon Acoustic Oscillations (BAO) feature present in clustering 2-point statistics, we aim to measure cosmological distances independently of the underlying background cosmological model. However this inference is…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-19 Stefano Anselmi , Pier-Stefano Corasaniti , Ariel G. Sanchez , Glenn D. Starkman , Ravi K. Sheth , Idit Zehavi

We review late-time cosmic acceleration after DESI Data Release 2 (DR2), emphasizing the interplay between Type Ia supernovae (SNe Ia), anisotropic BAO, CMB calibration, and perturbation-sensitive probes (RSD and weak lensing). DESI DR2…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Slava G. Turyshev

We propose a new way of looking at the Baryon Acoustic Oscillations in the Large Scale Structure clustering correlation function. We identify a scale s_LP that has two fundamental features: its position is insensitive to non-linear gravity,…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-17 Stefano Anselmi , Glenn D. Starkman , Ravi K. Sheth

We derive an analytical expression for a novel large-scale structure observable: the line correlation function. The line correlation function, which is constructed from the three-point correlation function of the phase of the density field,…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Richard Wolstenhulme , Camille Bonvin , Danail Obreschkow

We explore and compare the performances of two nonlinear correction and scale-dependent biasing models for the extraction of cosmological information from galaxy power spectrum data, especially in the context of beyond-LCDM cosmologies. The…

Astrophysics · Physics 2008-11-26 Jan Hamann , Steen Hannestad , Alessandro Melchiorri , Yvonne Y. Y. Wong

We consider an alternative to conventional three-point statistics such as the bispectrum, which is purely based on the Fourier phases of the density field: the line correlation function. This statistic directly probes the non-linear…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-25 Alexander Eggemeier , Robert E. Smith

In this paper we propose a solution to the problem of parameter estimation of nonlinearly parameterized regressions--continuous or discrete time--and apply it for system identification and adaptive control. We restrict our attention to…

Optimization and Control · Mathematics 2019-10-18 Romeo Ortega , Vladislav Gromov , Emmanuel Nuño , Anton Pyrkin , Jose Guadalupe Romero

Weak lensing by large scale structure induces correlated ellipticities in the images of distant galaxies. The two-point correlation is determined by the matter power spectrum along the line of sight. We use the fully nonlinear evolution of…

Astrophysics · Physics 2009-10-28 Bhuvnesh Jain , Uros Seljak

Stage-IV galaxy surveys will measure correlations at small cosmological scales with high signal-to-noise ratio. One of the main challenges of extracting information from small scales is devising accurate models, as well as characterizing…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-20 Abdias Aires , Nickolas Kokron , Rogerio Rosenfeld , Felipe Andrade-Oliveira , Vivian Miranda

We study the linear and non-linear bias parameters which determine the mapping between the distributions of galaxies and the full matter density fields, comparing different measurements and predictions. Associating galaxies with dark matter…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Kai Hoffmann , Julien Bel , Enrique Gaztanaga

In this paper, we study change-point testing for high-dimensional linear models, an important problem that has not been well explored in the literature. Specifically, we propose a quadratic-form cumulative sum (CUSUM) statistic to test the…

Statistics Theory · Mathematics 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang

We employ a model-independent approach in both the correlation function estimation and the angular BAO feature estimation by computing the angular two-point correlation function. First, we conducted a series of tests to the available DESI…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-03 Paula S. Ferreira , Ulisses Ribeiro , Pedro da Silveira Ferreira , Clécio R. Bom , Armando Bernui

The distance ratio derived from strong gravitational lensing systems, combined with complementary cosmological observations, offers a model-independent means to investigate the geometry and dynamics of the universe. In this study, we carry…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-04 Darshan Kumar , Deepak Jain , Shobhit Mahajan

Baryon Acoustic Oscillations (BAOs) are crucial in cosmological analysis, providing a standard ruler, as well as constraints on dark energy. In General Relativity models, the BAO Linear Point - the midpoint between the dip and the peak in…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-21 Jaemyoung Jason Lee , Bartolomeo Fiorini , Farnik Nikakhtar , Ravi K. Sheth

Strong gravitational lensing time-delay measurements, together with the distance sum rule (DSR), offer a model-independent approach to probe the geometry and expansion of the universe without relying on a fiducial cosmological model. In…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-04 Darshan Kumar , Deepak Jain , Shobhit Mahajan
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