Peaks, excursion sets and the distribution of dark matter haloes

          @misc{ scivideos_PIRSA:13090062,
            doi = {10.48660/13090062},
            url = {https://pirsa.org/13090062},
            author = {Desjacques, Vincent},
            keywords = {Cosmology},
            language = {en},
            title = {Peaks, excursion sets and the distribution of dark matter haloes},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2013},
            month = {sep},
            note = {PIRSA:13090062 see, \url{https://scivideos.org/pirsa/13090062}}
          }
          

Abstract

I will review recent developments in our theoretical understanding of the abundance and clustering of dark matter haloes. In the first part of this talk, I will discuss a toy model based on the statistics of peaks  of Gaussian random field (Bardeen et al 1986) and show how the clustering properties of such a point set can be easily derived from a generalised local bias expansion. In the second part, I will explain how  this peak formalism relates to the excursion set approach and present parameter-free predictions for the  mass function and bias of dark matter halos.