The Large-Scale Structure of the Universe

Quantifying Cosmic Density Fields

• density contrast
• Fourier expansion
• power spectrum defined
• power spectrum observed
  SDSS galaxies: pretty pictures and illustrated density fluctuation spectrum; paper and plots of power spectrum and rms amplitude
• correlation function: SDSS galaxies plot, clusters plot
• Gaussian fluctuations

Growth of Cosmological Perturbations: Linear Theory

• Jeans analysis in non-expanding background
• Perturbation in expanding FLRW background
• Unstable modes, linear growth factor