3 citations · 3 across the 5 of their papers we have counts for
6 papers
Multiple ergodic averages for commuting multiplicative actions
Dimitrios Charamaras, Andreas Koutsogiannis, Konstantinos Tsinas
We study the convergence of multiple ergodic averages involving several commuting multiplicative actions. We prove that for finitely generated systems, the averages $$\frac{1}{N}\s…
Infinite unrestricted sumsets in subsets of abelian groups with large density
Dimitrios Charamaras, Ioannis Kousek, Andreas Mountakis +1
Let be a countable abelian group such that the subgroup has finite index and the doubling map has finite kernel. We establish lower bo…
Asymptotic independence of and along logarithmic averages
Dimitrios Charamaras, Florian K. Richter
Let denote the number of prime factors of a positive integer counted with multiplicities. We show that for any bounded functions , $$\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.…