4 problems

Log-correlated fields are random fields whose correlations have a logarithmic singularity at short distances. The local extrema and maximum of such a field may exhibit universal li…

For a locally finite point set in the region … let the maximal layers be induced by a homogeneous Poisson point process, where $F:[0,\alpha^{1/(d-1)}]^{d-1}\to[0,\infty)$ has conti…

Let $d\geq 2$, let $\Xi_{t,R}$ be the random point process of hyperplane-intersection points used in the paper with $R=t^{-d/(d+1)}$, and let $\zeta$ be the limiting Poisson point…

The limiting chromosome contains distinct regions of genetic material that is identical by descent (IBD) to the reference point $0$. On a logarithmic scale, these regions shrink to…