3 papers
math.PR2026
Foundations of regular variation on topological spaces
Bojan Basrak, Nikolina MilinÄeviÄ, Ilya Molchanov
Since its introduction by J. Karamata, regular variation has evolved from a purely mathematical concept into a cornerstone of theoretical probability and data analysis. It is exten…
math.PR2025
On generalized arcsine laws and residual allocation models
Bojan Basrak
Based on their earlier studies of the arcsine law, Pitman and Yor in \cite{PY97} constructed a widely adopted PD( family of random mass-partitions with parameters $α\in […
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…