24 citations · 112 across the 33 of their papers we have counts for
6 papers · 1 filter
On uniqueness of invariant measures for random walks on HOMEO(R)
Sara Brofferio, Dariusz Buraczewski, Tomasz Szarek
We consider random walks on the group of orientation-preserving homeomorphisms of the real line . In particular, the fundamental question of uniqueness of an invariant…
Limit theorems for supercritical branching processes in random environment
Dariusz Buraczewski, Ewa Damek
We consider the branching process in random environment , which is a~population growth process where individuals reproduce independently of each other with the r…
Moderate parts in regenerative compositions: the case of regular variation
Dariusz Buraczewski, Bohdan Dovgay, Alexander Marynych
A regenerative random composition of integer is constructed by allocating standard exponential points over a countable number of intervals, comprising the complement of the…
On intermediate levels of nested occupancy scheme in random environment generated by stick-breaking I
Dariusz Buraczewski, Bohdan Dovgay, Alexander Iksanov
Consider a weighted branching process generated by the lengths of intervals obtained by stick-breaking of unit length (a.k.a. the residual allocation model) and associate with each…
A Brownian weak limit for the least common multiple of a random m-tuple of integers
Dariusz Buraczewski, Alexander Iksanov, Alexander Marynych
Let be a set picked uniformly at random among all -elements subsets of . We provide a pathwise construction of the collection $(B_n(m))_{1\leq m\leq n…
On the derivative martingale in a branching random walk
Dariusz Buraczewski, Alexander Iksanov, Bastien Mallein
We work under the A\"ıdékon-Chen conditions which ensure that the derivative martingale in a supercritical branching random walk on the line converges almost surely to a nondegener…