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Most of the upcoming cosmological information will come from analyzing the clustering of the Large Scale Structures (LSS) of the universe through LSS or CMB observations. It is therefore essential to be able to understand their behavior…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-15 Tomohiro Fujita , Valentin Mauerhofer , Leonardo Senatore , Zvonimir Vlah , Raul Angulo

With the completion of the Planck mission, in order to continue to gather cosmological information it has become crucial to understand the Large Scale Structures (LSS) of the universe to percent accuracy. The Effective Field Theory of LSS…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-23 Raul Angulo , Matteo Fasiello , Leonardo Senatore , Zvonimir Vlah

Gravitationally collapsed objects are known to be biased tracers of an underlying density contrast. Using symmetry arguments, generalised biasing schemes have recently been developed to relate the halo density contrast $\delta_h$ with the…

Cosmology and Nongalactic Astrophysics · Physics 2018-02-14 Dipak Munshi

We derive, using functional methods and the bias expansion, the conditional likelihood for observing a specific tracer field given an underlying matter field. This likelihood is necessary for Bayesian-inference methods. If we neglect all…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-06 Giovanni Cabass , Fabian Schmidt

A forward model of matter and biased tracers at arbitrary order in Lagrangian perturbation theory (LPT) is presented. The forward model contains the complete LPT displacement field at any given order in perturbations, as well as all…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-04 Fabian Schmidt

The effect of bias on hypothesis formation is characterized for an automated data-driven projection pursuit neural network to extract and select features for binary classification of data streams. This intelligent exploratory process…

Machine Learning · Computer Science 2022-01-05 John Patterson , Chris Avery , Tyler Grear , Donald J. Jacobs

We investigate the role played by symmetries in the perturbative expansion of the large-scale structure. In particular, we establish which of the coefficients of the perturbation theory kernels are dictated by symmetries and which not. Up…

Cosmology and Nongalactic Astrophysics · Physics 2021-11-03 Guido D'Amico , Marco Marinucci , Massimo Pietroni , Filippo Vernizzi

We extend the multi-tracer (MT) formalism of the effective field theory of large-scale structure to redshift space, comparing the results of MT to a single-tracer analysis when extracting cosmological parameters from simulations. We used a…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-12 Thiago Mergulhão , Henrique Rubira , Rodrigo Voivodic

The dark matter halos that host galaxies and clusters form out of initial high-density patches, providing a biased tracer of the linear matter density field. In the simplest local bias approximation, the halo field is treated as a…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-15 Titouan Lazeyras , Marcello Musso , Vincent Desjacques

We study the performance of the perturbative bias expansion when combined with the multi-tracer technique, and their impact on the extraction of cosmological parameters. We consider two populations of tracers of large-scale structure and…

Cosmology and Nongalactic Astrophysics · Physics 2022-07-14 Thiago Mergulhão , Henrique Rubira , Rodrigo Voivodic , L. Raul Abramo

Cosmological models beyond $\Lambda$CDM, like those featuring massive neutrinos or modifications of gravity, often display a characteristic change (scale-dependent suppression or enhancement) in the matter power spectrum when compared to a…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-18 Farbod Hassani , Julian Adamek , Ruth Durrer , Martin Kunz

Recent development in the reconstruction of the large-scale structure (LSS) has seen significant improvement in restoring the linear baryonic acoustic oscillation (BAO) from at least the non-linear matter field. This outstanding performance…

Cosmology and Nongalactic Astrophysics · Physics 2019-01-23 Xin Wang , Ue-Li Pen

We present necessary conditions for monotonicity, in one form or another, of fixed point iterations of mappings that violate the usual nonexpansive property. We show that most reasonable notions of linear-type monotonicity of fixed point…

Optimization and Control · Mathematics 2020-03-26 D. Russell Luke , Marc Teboulle , Nguyen H. Thao

The relationship between observed tracers such as galaxies and the underlying dark matter distribution is crucial in extracting cosmological information. As the linear bias model breaks down at quasi-linear scales, the standard perturbative…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Xin Wang , Alex Szalay

We investigate deviations from $\Lambda$CDM by independently parameterizing modifications in the background evolution and the growth of structures. The background is characterized by two parameters, $A$ and $B$, which reduce to…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-08 Shibendu Gupta Choudhury , Purba Mukherjee , Anjan Ananda Sen

Tracer dynamics in the Symmetric Exclusion Process, where hardcore particles diffuse on an infinite one-dimensional lattice, is a paradigmatic model of anomalous diffusion. While the equilibrium situation has received a lot of attention,…

Statistical Mechanics · Physics 2023-01-26 Aurélien Grabsch , Pierre Rizkallah , Pierre Illien , Olivier Bénichou

Using linear perturbation theory and the Friedmann-Lemaitre solutions of the cosmological field equations, we derive analytically a second-order differential equation for the evolution of the linear bias factor, b(z), between the background…

Astrophysics · Physics 2009-10-31 Spyros Basilakos , Manolis Plionis

The Effective Field Theory of Large-Scale Structure (EFTofLSS) provides a consistent perturbative framework for describing the statistical distribution of cosmological large-scale structure. In a previous EFTofLSS calculation that involved…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-20 Ethan O. Nadler , Ashley Perko , Leonardo Senatore

A commonly used perturbative method for computing large-scale clustering of tracers of mass density, like galaxies, is to model the tracer density field as a Taylor series in the local smoothed mass density fluctuations, possibly adding a…

Astrophysics · Physics 2014-10-13 Patrick McDonald

The biased net paradigm was the first general and empirically tractable scheme for parameterizing complex patterns of dependence in networks, expressing deviations from uniform random graph structure in terms of latent ``bias events,''…

Methodology · Statistics 2024-05-30 Carter T. Butts
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