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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}, $��_{\rm Markov}=1.01^{+0.09}_{-0.07}$. 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, $��T =T(\hat n_1) - T(\hat n_2)$. Through this method we show that temperature fluctuations in the CMB has fat tails compared to a Gaussian distribution.
10 pages, 8 figures Accepted in J. Stat. Mech
High Energy Physics - Theory, Statistical Mechanics (cond-mat.stat-mech), Astrophysics (astro-ph), 500, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Astrophysics, 530, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Physics - Data Analysis, Statistics and Probability, Condensed Matter - Statistical Mechanics, Data Analysis, Statistics and Probability (physics.data-an)
High Energy Physics - Theory, Statistical Mechanics (cond-mat.stat-mech), Astrophysics (astro-ph), 500, FOS: Physical sciences, General Relativity and Quantum Cosmology (gr-qc), Astrophysics, 530, General Relativity and Quantum Cosmology, High Energy Physics - Theory (hep-th), Physics - Data Analysis, Statistics and Probability, Condensed Matter - Statistical Mechanics, Data Analysis, Statistics and Probability (physics.data-an)
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