Takahiko Matsubara
Physics Dept., Univ. Nagoya (Nagoya, Japon)
Salle des séminaires Évry Schatzman, Institut d'Astrophysique de Paris
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| « Analytic Minkowski Functionals in the CMB » |
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Takahiko Matsubara |
| Detecting the primordial non-Gaussianity is one of the most promising ways to observationally constrain models of early universe. We consider the set of Minkowski functionals (MFs) as a tool to characterize the non-Gaussianity in the CMB. In this work, analytic formulas of MFs in two-dimensional random fields are generally derived, including effects of second-order non-Gaussianity in the presence of both the bispectrum and trispectrum. In a case of local-type non-Gaussianity, the MFs are analytically given by powers of quadratic and cubic parameters, f_NL and g_NL. The analytic formulas are compared to numerical realizations of non-Gaussian temperature maps, showing very good agreements. |
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vendredi 28 octobre 2011 - 11:00 Salle des séminaires Évry Schatzman, Institut d'Astrophysique de Paris |
| Page web du séminaire / Seminar's webpage |