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Introduction of peak statistics of Gaussian random fields

Minxi He

In this talk, the statistical theory of peaks of Gaussian random fields
are introduced, based on Bardeen, Bond, Kaiser, and Szalay (1986) which
is usually called BBKS or peak theory. This theory is originally used
to study the statistical properties of the structure formation in the
Universe. Recently, this theory is applied to the study of primordial
black holes.
References:
Bardeen, Bond, Kaiser, Szalay, Astrophys. J. 304, 15 (1986)
Germani, Musco, Phys. Rev. Lett. 122, no. 14, 141302 (2019)
Suyama, Yokoyama, 1912.04687
Wu, 2005.00441
Tokeshi, Inomata, Yokoyama, 2005.07153
Yoo, Harada, Garriga, Kohri, 1805.03946


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