Ruslan Kostohryz

collaborators

2 papers

math.PR2026

Laws of the iterated logarithm for random Dirichlet series with general weights

Alexander Iksanov, Ruslan Kostohryz

For each $s > 0$ , we consider a random Dirichlet series $X (s) = \sum_{k \geq 1} k^{- 1/2 - s} a_{k} η_{k}$ , where $η_{1}$ , $η_{2}, \dots$ are independent and identically distributed random variables…

math.PR2024

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 $\sum_{k \geq 2} (lo g k)^{I^} \pm k^{- 1/2 - s} I^\cdot_{k}$ a…