1 citations · 1 across the 2 of their papers we have counts for
4 papers
Density theorems for rational numbers
Andreas Koutsogiannis
Introducing the notion of a rational system of measure preserving transformations and proving a recurrence result for such systems, we give sufficient conditions in order a subset…
Topological Dynamics indexed by words
Vassiliki Farmaki, Andreas Koutsogiannis
Starting with a combinatorial partition theorem for words over an infinite alphabet dominated by a fixed sequence, established recently by the authors, we prove recurrence results…
Rational Dynamical Systems
Andreas Koutsogiannis
We introduce the notion of a rational dynamical system extending the classical notion of a topological dynamical system and we prove (multiple) recurrence results for such systems…
Ramsey Theory for Words Representing Rationals
Vassiliki Farmaki, Andreas Koutsogiannis
Ramsey theory for words over a finite alphabet was unified in the work of Carlson and Furstenberg-Katznelson. Carlson, in the same work, outlined a method to extend the theory for…