24 citations · 99 across the 51 of their papers we have counts for
7 papers · 2 filters
Set-valued recursions arising from vantage-point trees
Congzao Dong, Alexander Marynych, Ilya Molchanov
We study vantage-point trees constructed using an independent sample from the uniform distribution on a fixed convex body in , where is an…
Arithmetic properties of multiplicative integer-valued perturbed random walks
Victor Bohdanskyi, Vladyslav Bohun, Alexander Marynych +1
Let , be independent identically distributed -valued random vectors with arbitrarily dependent components. The sequence $(Θ_k)_{k\in\m…
Records in the Infinite Occupancy Scheme
Zakaria Derbazi, Alexander Gnedin, Alexander Marynych
We consider the classic infinite occupancy scheme, where balls are thrown in boxes independently, with probability of hitting box . Each time a box receives its first ball…
When does the chaos in the Curie-Weiss model stop to propagate?
Jonas Jalowy, Zakhar Kabluchko, Matthias Löwe +1
We investigate increasing propagation of chaos for the mean-field Ising model of ferromagnetism (also known as the Curie-Weiss model) with spins at inverse temperature an…
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…
Random Walks in the High-Dimensional Limit II: The Crinkled Subordinator
Zakhar Kabluchko, Alexander Marynych, Kilian Raschel
A crinkled subordinator is an -valued random process which can be thought of as a version of the usual one-dimensional subordinator with each out of countably many jumps be…