{"paper":{"title":"Characteristic Angular Scales in Cosmic Microwave Background Radiation","license":"","headline":"","cross_cats":["cond-mat.stat-mech","gr-qc","hep-th","physics.data-an"],"primary_cat":"astro-ph","authors_text":"A. Bahraminasab, F. Ghasemi, K. R. Sreenivasan, M. Reza Rahimi Tabar, M. Sadegh Movahed, Sohrab Rahvar","submitted_at":"2003-12-09T06:10:00Z","abstract_excerpt":"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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0312227","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}