3 citations · 3 across the 5 of their papers we have counts for
4 papers · 1 filter
Asymptotic independence of and along logarithmic averages
Dimitrios Charamaras, Florian K. Richter
Let denote the number of prime factors of a positive integer counted with multiplicities. We show that for any bounded functions , $$\f…
On multiplicative recurrence along linear patterns
Dimitrios Charamaras, Andreas Mountakis, Konstantinos Tsinas
In a recent article, Donoso, Le, Moreira and Sun studied sets of recurrence for actions of the multiplicative semigroup and provided some sufficient conditio…
Mean value theorems in multiplicative systems and joint ergodicity of additive and multiplicative actions
Dimitrios Charamaras
In this paper we are concerned with the study of additive ergodic averages in multiplicative systems and the investigation of the "pretentious" dynamical behaviour of these systems…
Finding product sets in some classes of amenable groups
Dimitrios Charamaras, Andreas Mountakis
In 2022, using methods from ergodic theory, Kra, Moreira, Richter, and Robertson resolved a longstanding conjecture of Erdős about sumsets in large subsets of the natural numbers.…