Precision cosmology


Additional material

Probabilty, Statistics and Random Fields.

Please note:
these articles are draft versions in different stages of completion


  • Probability and Statistics Primer
  • Covariance and Correlation
  • Moments of distributions
  • Discrete distributions
  • Continuous distributions
  • Normal Distribution
  • Skew distributions
  • New distributions for old
  • Point Processes
  • Random Fields
Gas Dynamics download
  • State of one component gas
  • Derivatives following the motion
  • Conservation of particles
  • Conservation of momentum
  • Thermal energy
  • Special Relativity
  • Vector fields: rotation and shear in 2D flow
  • General 2D flow field
  • 2D steady incompressible flow
  • Complexification of 2-dimensional fluid flow
  • A simple example of 2-dimensional fluid flow
Kinetic Theory of Gases download
  • The phase space distribution function
  • The Boltzmann equation
  • Boltzmannís equation with collisions
  • Chapman-Enskog approximation
  • BGK collision model
  • Scattering photons by non-relativistic electron
  • Relativistic Boltzmann models
  • Radiation damping of perturbations
  • Lorentz transformation of phase space volumes