K. Hlyniana

collaborators

2 papers

math.PR2026

A law of thin processes with neighbour-count thinning

Kateryna Hlyniana

We consider the superposition $S_{n}$ of $n$ i.i.d. simple point processes on $R^{d}$ and apply a dependent thinning $T_{n}$ , where the retention probability of a point depends…

math.PR2025

Neighbour-count dependent thinning of Poisson processes: correlation structure and Poisson approximation

Kateryna Hlyniana

We study a local thinning $T_{r}$ that retains a point with probability $p (n_{r})$ , where $n_{r}$ counts neighbors within radius $r$ . For Poisson input with spatially varying intensity,…