24 citations · 195 across the 74 of their papers we have counts for
89 papers
Laws of the iterated logarithm for random Dirichlet series with general weights
Alexander Iksanov, Ruslan Kostohryz
For each , we consider a random Dirichlet series , where , are independent and identically distributed random variables…
On the tails of Dickman-like perpetuities
Alexander Iksanov, Oleh Iksanov
Using a probabilistic technique based on exponential change of measure, we derive precise tail asymptotics of some perpetuities with distributions close to the Dickman distribution…
Limit theorems for globally perturbed random walks
Alexander Iksanov, Oleh Kondratenko
Let , be independent copies of an -valued random vector with arbitrarily dependent components. Put $T_n:= ξ_1+\ldots+ξ_{n-1}…
On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking: the case of heavy tails
Oksana Braganets, Alexander Iksanov
We investigate a nested balls-in-boxes scheme in a random environment. The boxes follow a nested hierarchy, with infinitely many boxes in each level, and the hitting probabilities…
Limit theorems for random Dirichlet series: boundary case
Alexander Iksanov, Ruslan Kostohryz
Buraczewski et al (2023) proved a functional limit theorem (FLT) and a law of the iterated logarithm (LIL) for a random Dirichlet series as…
A law of the iterated logarithm for the number of blocks in regenerative compositions generated by gamma-like subordinators
Alexander Iksanov, Wissem Jedidi
The points of the closed range of a drift-free subordinator with no killing are used for separating into blocks the elements of a sample of size from the standard exponential d…