We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use relies primarily on the ``magic extension" established recently by B. ~Host
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...
A sequence (sn) of integers is good for the mean ergodic theorem if for each invertible measure-pres...
Abstract. In this paper, we give the convergence result of mul-tiple ergodic averages along cubes fo...
Recently, T. Tao gave a finitary proof a convergence theorem for multiple averages with several comm...
Abstract. We prove the L2 convergence for the linear multiple ergodic averages of commuting transfor...
Abstract. We prove the L2 convergence for the linear multiple ergodic averages of commuting transfor...
This thesis is devoted to the study of some questions of multiple convergence and recurrence in ergo...
This thesis is devoted to the study of some questions of multiple convergence and recurrence in ergo...
Cette thèse est consacrée à l'étude de certaines questions de convergence et de récurrence multiples...
Cette thèse est consacrée à l'étude de certaines questions de convergence et de récurrence multiples...
International audienceWe study mean convergence results for weighted multiple ergodic averages defin...
Huang, Shao and Ye recently studied pointwise multiple averages by using suitable topological models...
We prove pointwise convergence, as N → ∞, for the multiple ergodic averages (1/N) Σn=1N f(Tnx) · g(S...
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...
A sequence (sn) of integers is good for the mean ergodic theorem if for each invertible measure-pres...
Abstract. In this paper, we give the convergence result of mul-tiple ergodic averages along cubes fo...
Recently, T. Tao gave a finitary proof a convergence theorem for multiple averages with several comm...
Abstract. We prove the L2 convergence for the linear multiple ergodic averages of commuting transfor...
Abstract. We prove the L2 convergence for the linear multiple ergodic averages of commuting transfor...
This thesis is devoted to the study of some questions of multiple convergence and recurrence in ergo...
This thesis is devoted to the study of some questions of multiple convergence and recurrence in ergo...
Cette thèse est consacrée à l'étude de certaines questions de convergence et de récurrence multiples...
Cette thèse est consacrée à l'étude de certaines questions de convergence et de récurrence multiples...
International audienceWe study mean convergence results for weighted multiple ergodic averages defin...
Huang, Shao and Ye recently studied pointwise multiple averages by using suitable topological models...
We prove pointwise convergence, as N → ∞, for the multiple ergodic averages (1/N) Σn=1N f(Tnx) · g(S...
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...
A sequence (sn) of integers is good for the mean ergodic theorem if for each invertible measure-pres...