3 papers
math.PR2026
Asymptotic fluctuations in supercritical multi-type Crump-Mode-Jagers processes
Konrad Kolesko, Alicja Kołodziejska, Matthias Meiners
We consider an irreducible, supercritical multi-type general branching process (Crump-Mode-Jagers process) with finite type space, counted with random characteristic. We prove that…
math.PR2024
On favourite sites of a random walk in moderately sparse random environment
Alicja Kołodziejska
We study the favourite sites of a random walk evolving in a sparse random environment on the set of integers. The walker moves symmetrically apart from some randomly chosen sites w…
math.PR2023
Weak quenched limit theorems for a random walk in a sparse random environment
Dariusz Buraczewski, Piotr Dyszewski, Alicja Kołodziejska
We study the quenched behaviour of a perturbed version of the simple symmetric random walk on the set of integers. The random walker moves symmetrically with an exception of some r…