A. Marynych

activity

20092026

most citedLimit theorems for the number of occupied boxes in the Bernoulli sieve

24 citations · 99 across the 51 of their papers we have counts for

collaborators

Showing 2017 · math.PRShow all

3 papers · 2 filters

math.PR2017

The collision spectrum of $Λ$ -coalescents

Alexander Gnedin, Alexander Iksanov, Alexander Marynych +1

$Λ$ -coalescents model the evolution of a coalescing system in which any number of blocks randomly sampled from the whole may merge into a larger block. For the coalescent restricte…

math.PR2017★ 5 cited

A functional limit theorem for random processes with immigration in the case of heavy tails

Alexander Marynych, Glib Verovkin

Let $(X_{k}, ξ_{k})_{k \in N}$ be a sequence of independent copies of a pair $(X, ξ)$ where $X$ is a random process with paths in the Skorokhod space $D [0, \infty)$ and $ξ$ is a…

math.PR2017★ 7 cited

On perpetuities with gamma-like tails

Dariusz Buraczewski, Piotr Dyszewski, Alexander Iksanov +1

An infinite convergent sum of independent and identically distributed random variables discounted by a multiplicative random walk is called perpetuity, because of a possible actuar…

The collision spectrum of Λ-coalescents

A functional limit theorem for random processes with immigration in the case of heavy tails

On perpetuities with gamma-like tails

The collision spectrum of $Λ$ -coalescents