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Paper IPM / P / 7258  


Abstract:  
The standard cosmology model describes the evolution of the universe and astronomical observations on the scales ranging from a few to thousands of Mega parsecs. For the early universe epoch the inflationary cosmology models predict that the universe is flat and the large scale structures have nearly scaleinvariant adiabatic character. The Cosmic Microwave Background data taken by the Wilkinson Microwave Anisotropy Probe provide a quantitative test of the cosmological models through comparing the statistical properties of data with what is expected from the models. Here we investigate the stochastic properties of these data as a tool for characterizing the complexity of the temperature fluctuations, by means of a FokkerPlanck equation. The FokkerPlanck equation provides the knowledge of how the statistics of temperaturedifference on different angular scales are correlated. It is shown that the temperature angular fluctuation is a Markovian process with a Markov angular scale of Θ_{Markov} = 1.11 ±0.01^{o}. This means that outside the Markov angular scale, the temperature fluctuations are statistically independent. We argue that the Markov angular scale and the particle horizon angular scale are physically identical.
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