Add to ORKGAbstract. We answer a question posed by Vitaly Bergelson, show-ing that in a totally ergodic system, the average of a product of functions evaluated along polynomial times, with polynomials of pairwise differing degrees, converges in L2 to the product of the integrals. Such averages are characterized by nilsystems and so we reduce the problem to one of uniform distribution of polynomial sequences on nilmanifolds. 1
We first study the rate of growth of ergodic sums along a sequence (an) of times: SNf(x)= μn≤Nf(Tanx...
International audienceWe study mean convergence results for weighted multiple ergodic averages defin...
Abstract. In 1993, E. Lesigne proved a polynomial extension of the Wiener-Wintner theorem and asked ...
Abstract. We answer a question posed by Vitaly Bergelson, show-ing that in a totally ergodic system,...
Abstract. We prove the L2 convergence for an ergodic average of a product of functions evaluated alo...
International audienceWe study the $L^2$-convergence of two types of ergodic averages.The first is t...
Abstract. We study the L2-convergence of two types of ergodic averages. The first is the average of ...
International audienceWe prove mean convergence, as $N\to\infty$, for the multiple ergodic average...
We study here weighted polynomial multiple ergodic averages. A sequence of weights is called univers...
We study the equidistribution of orbits of the form $b_1^{a_1(n)}... b_k^{a_k(n)}\Gamma$ in a nilman...
We consider generalizations of the pointwise and mean ergodic theorems to ergodic theorems averaging...
Abstract. Szemerédi’s Theorem states that a set of integers with positive upper den-sity contains a...
We obtain new results pertaining to convergence and recurrence of multiple ergodic averages along fu...
We first study the rate of growth of ergodic sums along a sequence (an) of times: SNf(x)= μn≤Nf(Tanx...
Abstract. We study inequalities connecting a product of uniform norms of polynomials with the norm o...
We first study the rate of growth of ergodic sums along a sequence (an) of times: SNf(x)= μn≤Nf(Tanx...
International audienceWe study mean convergence results for weighted multiple ergodic averages defin...
Abstract. In 1993, E. Lesigne proved a polynomial extension of the Wiener-Wintner theorem and asked ...
Abstract. We answer a question posed by Vitaly Bergelson, show-ing that in a totally ergodic system,...
Abstract. We prove the L2 convergence for an ergodic average of a product of functions evaluated alo...
International audienceWe study the $L^2$-convergence of two types of ergodic averages.The first is t...
Abstract. We study the L2-convergence of two types of ergodic averages. The first is the average of ...
International audienceWe prove mean convergence, as $N\to\infty$, for the multiple ergodic average...
We study here weighted polynomial multiple ergodic averages. A sequence of weights is called univers...
We study the equidistribution of orbits of the form $b_1^{a_1(n)}... b_k^{a_k(n)}\Gamma$ in a nilman...
We consider generalizations of the pointwise and mean ergodic theorems to ergodic theorems averaging...
Abstract. Szemerédi’s Theorem states that a set of integers with positive upper den-sity contains a...
We obtain new results pertaining to convergence and recurrence of multiple ergodic averages along fu...
We first study the rate of growth of ergodic sums along a sequence (an) of times: SNf(x)= μn≤Nf(Tanx...
Abstract. We study inequalities connecting a product of uniform norms of polynomials with the norm o...
We first study the rate of growth of ergodic sums along a sequence (an) of times: SNf(x)= μn≤Nf(Tanx...
International audienceWe study mean convergence results for weighted multiple ergodic averages defin...
Abstract. In 1993, E. Lesigne proved a polynomial extension of the Wiener-Wintner theorem and asked ...