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math.DS2026
Structure of 2-step nilpotent ergodic averages for distinct-degree polynomials
Andreas Koutsogiannis, Borys Kuca, Wenbo Sun
We investigate manifestations of the Nilpotent Heuristic, which posits that recurrence and convergence phenomena known for measure-preserving -systems extend to nilpo…
math.CO2026
Partition regularity in imaginary quadratic rings of integers
Sebastián Donoso, Andreu Ferré Moragues, Andreas Koutsogiannis +1
We obtain partition regularity results for homogeneous quadratic equations whose parametrized solutions admit nice factorizations into linear forms over rings of integers of imagin…