1 citations · 2 across the 6 of their papers we have counts for
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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…
Resolving the joint ergodicity problem for Hardy sequences
Sebastián Donoso, Andreas Koutsogiannis, Borys Kuca +2
The joint ergodicity classification problem aims to characterize those sequences which are jointly ergodic along an arbitrary dynamical system if and only if they satisfy two natur…
Seminorm estimates and joint ergodicity for pairwise independent Hardy sequences
Sebastián Donoso, Andreas Koutsogiannis, Borys Kuca +2
We develop a robust structure theory for multiple ergodic averages of commuting transformations along Hardy sequences of polynomial growth. We then apply it to derive a number of n…
Ergodic averages for sparse sequences along primes
Andreas Koutsogiannis, Konstantinos Tsinas
We investigate the limiting behavior of multiple ergodic averages along sparse sequences evaluated at prime numbers. Our sequences arise from smooth and well-behaved functions that…
Pointwise convergence in nilmanifolds along smooth functions of polynomial growth
Konstantinos Tsinas
We study the equidistribution of orbits of the form in a nilmanifold , where the sequences arise from smooth functions of polynomial gro…
Joint ergodicity of Hardy field sequences
Konstantinos Tsinas
We study mean convergence of multiple ergodic averages, where the iterates arise from smooth functions of polynomial growth that belong to a Hardy field. Our results include all lo…