Optimal Linear Reconstruction of Dark Matter from Halo Catalogues

Optimal Linear Reconstruction of Dark Matter from Halo Catalogues PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 16

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Book Description
The dark matter lumps (or "halos") that contain galaxies have locations in the Universe that are to some extent random with respect to the overall matter distributions. We investigate how best to estimate the total matter distribution from the locations of the halos. We derive the weight function w(M) to apply to dark-matter haloes that minimizes the stochasticity between the weighted halo distribution and its underlying mass density field. The optimal w(M) depends on the range of masses of halos being used. While the standard biased-Poisson model of the halo distribution predicts that bias weighting is optimal, the simple fact that the mass is comprised of haloes implies that the optimal w(M) will be a mixture of mass-weighting and bias-weighting. In N-body simulations, the Poisson estimator is up to 15× noisier than the optimal. Optimal weighting could make cosmological tests based on the matter power spectrum or cross-correlations much more powerful and/or cost effective.

Optimal Linear Reconstruction of Dark Matter from Halo Catalogues

Optimal Linear Reconstruction of Dark Matter from Halo Catalogues PDF Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 16

Get Book Here

Book Description
The dark matter lumps (or "halos") that contain galaxies have locations in the Universe that are to some extent random with respect to the overall matter distributions. We investigate how best to estimate the total matter distribution from the locations of the halos. We derive the weight function w(M) to apply to dark-matter haloes that minimizes the stochasticity between the weighted halo distribution and its underlying mass density field. The optimal w(M) depends on the range of masses of halos being used. While the standard biased-Poisson model of the halo distribution predicts that bias weighting is optimal, the simple fact that the mass is comprised of haloes implies that the optimal w(M) will be a mixture of mass-weighting and bias-weighting. In N-body simulations, the Poisson estimator is up to 15× noisier than the optimal. Optimal weighting could make cosmological tests based on the matter power spectrum or cross-correlations much more powerful and/or cost effective.

Velocity and Density Fields on Cosmological Scales

Velocity and Density Fields on Cosmological Scales PDF Author: Elena Sarpa
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
A new fully non-linear reconstruction algorithm, based on the least-action principle and extending the Fast Action Minimisation method by is presented, intended for applications with the next-generation massive spectroscopic surveys. Its capability of recovering the velocity field starting from the observed density field is tested on dark-matter halo catalogues simulation to trace the trajectories of up to 10^6 haloes backward-in-time. Both in real and redshift-space it successfully recovers the peculiar velocities. The new algorithm is first employed for the accurate recovery of the Baryonic Acoustic Oscillations (BAO) scale in two-point correlation functions. Tests on dark-matter halo catalogues show how the new algorithm successfully recovers the BAO feature in real and redshift-space, also for anomalous samples showing misplaced or absent signature of BAO. A comparison with the first-order Lagrangian reconstruction is presented, showing that this techniques outperforms the linear approximation in recovering an unbiased measurement of the BAO scale. A second version of the algorithm accounting for the survey geometry and the bias of tracers is finally tested on low-redshift galaxy samples extracted form mocks specifically designed to match the SDSS-DR12 LRG clustering. The analysis of the anisotropic clustering indicates the non-linear reconstruction as a fundamental tool to brake the degeneracy between redshift-space distortion and the Alcock-Paczynski effect. Finally the application to the cosmic voids analysis is introduced, showing the great potentiality of a non-linear modelling of the velocity field in restoring the intrinsic isotropy of voids.

Introduction to Applied Linear Algebra

Introduction to Applied Linear Algebra PDF Author: Stephen Boyd
Publisher: Cambridge University Press
ISBN: 1316518965
Category : Business & Economics
Languages : en
Pages : 477

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Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Galaxy Formation and Evolution

Galaxy Formation and Evolution PDF Author: Houjun Mo
Publisher: Cambridge University Press
ISBN: 0521857937
Category : Science
Languages : en
Pages : 841

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Book Description
A coherent introduction for researchers in astronomy, particle physics, and cosmology on the formation and evolution of galaxies.

High Performance Computing in Science and Engineering, Garching/Munich 2007

High Performance Computing in Science and Engineering, Garching/Munich 2007 PDF Author: Siegfried Wagner
Publisher: Springer Science & Business Media
ISBN: 3540691820
Category : Mathematics
Languages : en
Pages : 700

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Book Description
For the fourth time, the Leibniz Supercomputing Centre (LRZ) and the Com- tence Network for Technical, Scienti c High Performance Computing in Bavaria (KONWIHR) publishes the results from scienti c projects conducted on the c- puter systems HLRB I and II (High Performance Computer in Bavaria). This book reports the research carried out on the HLRB systems within the last three years and compiles the proceedings of the Third Joint HLRB and KONWIHR Result and Reviewing Workshop (3rd and 4th December 2007) in Garching. In 2000, HLRB I was the rst system in Europe that was capable of performing more than one Tera op/s or one billion oating point operations per second. In 2006 it was replaced by HLRB II. After a substantial upgrade it now achieves a peak performance of more than 62 Tera op/s. To install and operate this powerful system, LRZ had to move to its new facilities in Garching. However, the situation regarding the need for more computation cycles has not changed much since 2000. The demand for higher performance is still present, a trend that is likely to continue for the foreseeable future. Other resources like memory and disk space are currently in suf cient abundance on this new system.

Introduction to Cosmology

Introduction to Cosmology PDF Author: Matts Roos
Publisher: John Wiley & Sons
ISBN: 1118923286
Category : Science
Languages : en
Pages : 288

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Book Description
The Fourth Edition of Introduction to Cosmology provides a concise, authoritative study of cosmology at an introductory level. Starting from elementary principles and the early history of cosmology, the text carefully guides the student on to curved spacetimes, special and general relativity, gravitational lensing, the thermal history of the Universe, and cosmological models, including extended gravity models, black holes and Hawking's recent conjectures on the not-so-black holes. Introduction to Cosmology, Fourth Edition includes: New theoretical approaches and in-depth material on observational astrophysics and expanded sections on astrophysical phenomena Illustrations throughout and comprehensive references with problems at the end of each chapter and a rich index at the end of the book Latest observational results from WMAP9, ACT, and Planck, and all cosmological parameters have been brought up to date. This text is invaluable for undergraduate students in physics and astrophysics taking a first course in cosmology. Extensively revised, this latest edition extends the chapter on cosmic inflation to the recent schism on eternal inflation and multiverses. Dark matter is discussed on galaxy and cluster scales, and dark matter candidates are presented, some requiring a five-dimensional universe and several representing various types of exotica. In the context of cosmic structures the cold dark matter paradigm is described. Dark energy models include the cosmological constant, quintessence and other single field models, f(R) models and models requiring extra dimensions.

Neutrino Mass

Neutrino Mass PDF Author: Guido Altarelli
Publisher: Springer
ISBN: 3540449019
Category : Science
Languages : en
Pages : 0

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Book Description
Reviews the current state of knowledge of neutrino masses and the related question of neutrino oscillations. After an overview of the theory of neutrino masses and mixings, detailed accounts are given of the laboratory limits on neutrino masses, astrophysical and cosmological constraints on those masses, experimental results on neutrino oscillations, the theoretical interpretation of those results, and theoretical models of neutrino masses and mixings. The book concludes with an examination of the potential of long-baseline experiments. This is an essential reference text for workers in elementary-particle physics, nuclear physics, and astrophysics.

Unveiling Large-scale Structures Behind the Milky Way

Unveiling Large-scale Structures Behind the Milky Way PDF Author: Chantal Balkowski
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 330

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Book Description


Neutrino Cosmology

Neutrino Cosmology PDF Author: Julien Lesgourgues
Publisher: Cambridge University Press
ISBN: 110701395X
Category : Science
Languages : en
Pages : 391

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Book Description
A self-contained guide to the role played by neutrinos in the Universe and how their properties influence cosmological and astrophysical observations.

Merging Processes in Galaxy Clusters

Merging Processes in Galaxy Clusters PDF Author: L. Feretti
Publisher: Springer Science & Business Media
ISBN: 0306480964
Category : Science
Languages : en
Pages : 329

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Book Description
Mergers are the mechanisms by which galaxy clusters are assembled through the hierarchical growth of smaller clusters and groups. Major cluster mergers are the most energetic events in the Universe since the Big Bang. Many of the observed properties of clusters depend on the physics of the merging process. These include substructure, shock, intra cluster plasma temperature and entropy structure, mixing of heavy elements within the intra cluster medium, acceleration of high-energy particles, formation of radio halos and the effects on the galaxy radio emission. This book reviews our current understanding of cluster merging from an observational and theoretical perspective, and is appropriate for both graduate students and researchers in the field.