| Speaker: | Michiru Uwabo (IBS) |
|---|---|
| Title: | Peak sphericity of non-Gaussian random field |
| Date (JST): | Fri, Feb 28, 2025, 13:30 - 14:30 |
| Place: | Seminar Room A |
| Abstract: |
We formulate the statistics of peaks of non Gaussian random fields and implement it to study the sphericity of peaks. For local-type non-Gaussianity, we present a general formalism that is applicable as long as the map is invertible, regardless of how large the deviation from the Gaussian statistics is. For general types of non-Gaussianity, we provide a framework that applies to any system with a given power spectrum and the corresponding bispectrum, assuming small deviations from Gaussian statistics and neglecting contributions from higher-order correlators. We present an explicit expression for the most probable values of the sphericity parameters, including the effect of non-Gaussianity on the profile. We show that the effects of small perturbative non-Gaussianity on the sphericity parameters are negligible, as they are even smaller than the subleading Gaussian corrections. In contrast, we find that large non-Gaussianity can significantly distort the peak configurations, making them highly non-spherical. |
