The Large-scale Structure of the Universe in One Dimension Statement by Author Acknowledgments I Thank My Advisors
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چکیده
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 CHAPTER 1: INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 CHAPTER 2: ONE-DIMENSIONAL POWER SPECTRUM . . . . . . . . . . . . 17 2.1 Three-Dimensional Power Spectrum . . . . . . . . . . . . . . . . . . . . . 17 2.2 One-Dimensional Power Spectrum . . . . . . . . . . . . . . . . . . . . . . 19 2.3 Aliasing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 CHAPTER 3: COVARIANCE OF THE ONE-DIMENSIONAL POWER SPECTRUM: GAUSSIAN RANDOM FIELDS . . . . . . . . . . . . . . . . . . 23 3.1 Covariance of the One-dimensional Power Spectrum . . . . . . . . . . . . 23 3.2 Line-of-Sight Length . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 CHAPTER 4: COVARIANCE OF THE ONE-DIMENSIONAL POWER SPECTRUM: THE COSMIC DENSITY FIELD . . . . . . . . . . . . . . . . . 27 4.1 Simulations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 4.2 Pair-Wise Covariance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 4.3 Covariance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 CHAPTER 5: COVARIANCE OF THE ONE-DIMENSIONAL POWER SPECTRUM: THE LYα FOREST . . . . . . . . . . . . . . . . . . . . . . . . . 39 5.1 Simulated Lyα Forests . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 5.1.1 Hydrodynamical Simulations with Photoionization . . . . . . . . 39 5.1.2 Pseudo-Hydro Technique . . . . . . . . . . . . . . . . . . . . . . . 47 5.1.3 Comparison . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56
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Acknowledgments I would like to thank my advisors Prof. Gunter Saake, Thomas Thüm, and Reimar Schröter for giving me the possibility of writing this master's thesis. A special thanks to Reimar for his fast and constructive feedback. I also thank my friends and family and everybody else who supported me during the creation of this thesis.
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