# Limit theorems for the least common multiple of random integer sets

Seminarium:
Teoria prawdopodobieństwa i modelowanie stochastyczne
Osoba referująca:
Alexander Marynych (Taras Shevchenko National University of Kyiv)
Data spotkania seminaryjnego:
czwartek, 4. Czerwiec 2020 - 12:15
Sala:
Zoom, kontakt: michal.krawiec@math.uni.wroc.pl
Opis:
In my talk I shall consider two models for random integer sets and derive limit theorems for the least common multiple of their elements. In the first model a random set is defined by the Bernoulli sieving of $\{1,2,\ldots,n\}$ with a constant rate $\theta\in(0,1)$. In the second model the set consists of k independent uniform random variables on $\{1,2,3,\ldots,n\}$.