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Power spectrum estimators in galaxy surveys

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Author(s):
Lucas Frozza Secco
Total Authors: 1
Document type: Master's Dissertation
Press: São Paulo.
Institution: Universidade de São Paulo (USP). Instituto de Física (IF/SBI)
Defense date:
Examining board members:
Luis Raul Weber Abramo; Miguel Boavista Quartin; Laerte Sodre Junior
Advisor: Luis Raul Weber Abramo
Abstract

In the present work, we review the well established formalism of structure formation in the universe and the theoretical foundation for the matter power spectrum. We then review the current literature on power spectrum estimation, focusing on Fourier methods that have a close connection to the Fisher matrix formalism. With the same motivation, we develop a set of estimators for surveys with multiple galaxy species and efficiently test our predictions in simple mock catalogs. This method is suitable for treating surveys containing different species of tracers of large-scale structure, such as galaxies, quasars, Lyman-alpha absorption systems, etc. We find good agreement between our expectations and the numerical results, and a remarkable superiority of our method when compared to pre-existing ones. (AU)

FAPESP's process: 12/23400-1 - Quasars as tracers of large-scale structure: bias and environments
Grantee:Lucas Frozza Secco
Support Opportunities: Scholarships in Brazil - Master