24 citations · 112 across the 33 of their papers we have counts for
42 papers
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 such that, for each , the distribution of is the same…
Convolution powers of unbounded measures on the positive half-line
Dariusz Buraczewski, Alexander Iksanov, Alexander Marynych
For a right-continuous nondecreasing and unbounded function of at most exponential growth, which vanishes on the negative halfline, we investigate the asymptotic behavior of th…
Critical branching processes in a sparse random environment
Dariusz Buraczewski, Congzao Dong, Alexander Iksanov +1
We introduce a branching process in a sparse random environment as an intermediate model between a Galton--Watson process and a branching process in a random environment. In the cr…
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 as . It is shown that if the expectation and the v…
Weak quenched limit theorems for a random walk in a sparse random environment
Dariusz Buraczewski, Piotr Dyszewski, Alicja Kołodziejska
We study the quenched behaviour of a perturbed version of the simple symmetric random walk on the set of integers. The random walker moves symmetrically with an exception of some r…
Limit theorems for random Dirichlet series
Dariusz Buraczewski, Congzao Dong, Alexander Iksanov +1
We prove a functional limit theorem in a space of analytic functions for the random Dirichlet series , properly scaled and nor…