Simple proof of Bourgain bilinear ergodic theorem and its extension to polynomials and polynomials in primes

We first present a modern simple proof of the classical ergodic Birkhoff's theorem and Bourgain's homogeneous bilinear ergodic theorem. This proof used the simple fact that the shift map on integers has a simple Lebesgue spectrum. As a consequence, we establish that the homogeneous bilinea...

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Veröffentlicht in:	arXiv.org 2019-08
1. Verfasser:	el Abdalaoui, e H
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Ergodic processes Polynomials Theorem proving Theorems
Online-Zugang:	Volltext
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