2 papers
math.PR2026
Efron type identities for stopping sets and Poisson hulls
Günter Last, Ilya Molchanov
We consider a Poisson process on a general space with intensity measure and a stopping set depending on . Using in particular the spatial Markov property of , we…
math.PR2025
Extremal behavior of stationary marked point processes
Bojan Basrak, Ilya Molchanov, Hrvoje PlaniniÄ
We consider stationary configurations of points in Euclidean space which are marked by positive random variables called scores. The scores are allowed to depend on the relative pos…