Artículos de revistas
Seminorms for multiple averages along polynomials and applications to joint ergodicity
Fecha
2021Registro en:
Journal D Analyse Mathematique Early Access Dec 2021
10.1007/s11854-021-0186-z
Autor
Donoso Fuentes, Sebastián Andrés
Koutsogiannis, Andreas
Sun, Wenbo
Institución
Resumen
Exploiting the recent work of Tao and Ziegler on the concatenation theorem on factors, we find explicit characteristic factors for multiple averages along polynomials on systems with commuting transformations, and use them to study criteria of joint ergodicity for sequences of the form (T-1(p1j(n))... T-d(pdj(n)))(n is an element of Z), 1 <= j <= k, where T-1, ...,T-d are commuting measure preserving transformations on a probability measure space and p(ij) are integer polynomials. To be more precise, we provide a sufficient condition for such sequences to be jointly ergodic, giving also a characterization for sequences of the form (T-i(p(n)))(n is an element of Z) 1 <= i <= d to be jointly ergodic, answering a question due to Bergelson.