Characteristic Angular Scales in Cosmic Microwave Background Radiation

Details Characteristic Angular Scales in Cosmic Microwave Background Radiation Characteristic Angular Scales in Cosmic Microwave Background Radiation

2003-12-09

arxiv.org/abs/astro-ph/0312227v2

J.Stat.Mech.0611:P11008,2006

Astronomy and Astrophysics

Astrophysics

10 pages, 8 figures Accepted in J. Stat. Mech

Scientific paper

10.1088/1742-5468/2006/11/P11008

We investigate the stochasticity in temperature fluctuations in the cosmic microwave background (CMB) radiation data from {\it Wilkinson Microwave Anisotropy Probe}. We show that the angular fluctuations of the temperature is a Markov process with a {\it Markov angular scale}, $\Theta_{\rm Markov}=1.01^{+0.09}_{-0.07}$. We characterize the complexity of the CMB fluctuations by means of a Fokker-Planck or Langevin equation and measure the associated Kramers-Moyal coefficients for the fluctuating temperature field $T(\hat n)$ and its increment, $\Delta T =T(\hat n_1) - T(\hat n_2)$. Through this method we show that temperature fluctuations in the CMB has fat tails compared to a Gaussian distribution.

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