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Statistics II

  • PhD special course
  • Lecturer: Yong-Seon Song
  • Dates: 23/25/27 March 2009

Location

  • Dennis Sciama Building, room 3.13

Syllabus

  • Part 1: (a) Background solution: principle of FLRW, GR FLRW, MG FLRW, LTB model, implication of geometry fitting. (b) Primordial power spectra: principle of normalization, consistency relation. (c) Transfer function: analytical approach, cosmological effects from matter-radiation equality, massice neutrino, dark energy. (d) Analytic solution for growth function: introduction to Bianchi identity, coupled equations to solve growth function. (e) Structure of Boltzman code: cmbfast, camb, cosmomc
  • Part 2: (a) Construction of 3D power spectra: ,  and  pairs, and all cross correlations. (b) Dimensional reduction from 3D to 2D: principle of projection, definition of window functions, implication of Limber approximation. (c) Weak lensing power spectra: CMB lensing reconstruction, cosmic shear power spectra, all other lensing power spectra. (d) Redshift survey: redshift distortion, BAO, separation between Pgg and P,  −  diagram. (e) All other survey: ISW, KSZ, etc. (f) Non-linearity: PD, Halo model, Smith’s fitting. (g) Muliple points statistics: bi-spectra, and non-Gaussinaity
  • Part 3: (a) Dark energy model P(k,z), analytical formulation of power spectra on w − wa space, interacting dark energy model, clumping dark energy model. (b) Modified gravity model P(k,z); DGP in both branches, f(R) gravity, TeVeS model, parameterization of PPF. (c) Consistency relation of GR: indepedent components of structure formation, consistency relation. (d) Practical approach to Fisher matrix analysis: details coming later

Lecture overheads

Will be attached soon.