D. Buraczewski

collaborators

2 papers

math.PR2025

On local large deviations for decoupled random walks

Dariusz Buraczewski, Alexander Iksanov, Alexander Marynych

A decoupled standard random walk is a sequence of independent random variables $(S^_{n})_{n \geq 1}$ such that, for each $n \geq 1$ , the distribution of $S^_{n}$ is the same…

math.PR2025

Laws of the iterated and single logarithm for sums of independent indicators, with applications to the Ginibre point process and Karlin's occupancy scheme

Dariusz Buraczewski, Alexander Iksanov, Valeriya Kotelnikova

We prove a law of the iterated logarithm (LIL) for an infinite sum of independent indicators parameterized by $t$ as $t \to \infty$ . It is shown that if the expectation $b$ and the v…