On the homogeneous ergodic bilinear averages with $1$-bounded multiplicative weights

We establish a generalization of Bourgain double recurrence theorem and ergodic Bourgain-Sarnak's theorem by proving that for any aperiodic $1$-bounded multiplicative function $\boldsymbol{\nu}$, for any map $T$ acting on a probability space $(X,\mathcal{A},\mu)$, for any integers $a,b$, for an...

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1. Verfasser:	Abdalaoui, el Houcein el
Format:	Artikel
Sprache:	eng
Schlagworte:	Dynamical Systems Mathematics Mathematics - Dynamical Systems Mathematics - Number Theory Number Theory
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