Key points are not available for this paper at this time.
Rare events of large-scale spatially correlated exponential random fields are studied. The influence of spatial correlations on clustering and nonsphericity is investigated. The size of the performed simulations permits to study beyond-7.5-sigma events (one in 10 13 ). As an application, this allows to resolve individual Hubble patches which fulfil the condition for primordial black hole formation. It is argued that their mass spectrum is drastically altered due to cocollapse of clustered overdensities as well as the mutual threshold-lowering through the latter. Furthermore, the corresponding nonsphericities may imply possibly large changes in the initial black hole spin distribution.
Choi et al. (Mon,) studied this question.