[[UTAPwiki/セミナー/初期宇宙・相対論速報]]

* Introduction of peak statistics of Gaussian random fields [#z1c5b6aa]
* Introduction of peak statistics of Gaussian random fields [#u59ee80e]

** Minxi He [#edc495b6]
** Minxi He [#u10120ab]

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. 
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)
Young, Byrnes, Sasaki (2014)
Yoo, Harada, Garriga, Kohri, 1805.03946 
Germani, Musco, Phys. Rev. Lett. 122, no. 14, 141302 (2019)
Suyama, Yokoyama, 1912.04687
Wu, 2005.00441
Tokeshi, Inomata, Yokoyama, 2005.07153

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