Abstract. Let (X,B, µ) be a probability space and let T1,..., Tl be l commuting invertible measure preserving transformations of X. We show that if the group of transformations generated by T1,..., Tl is totally ergodic, then the average
117 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.Let (X, B , P) be a non-ato...
An IP system is a function n taking finite subsets of N to a commutative, additive group Ω satisfyin...
My research uses methods of dynamical systems to study questions that arise related to com-binatoria...
Abstract. Let (X,B, µ) be a probability space and let T1,..., Tl be l commuting invertible measure p...
We consider a mutually disjoint family of measure preserving transformations T1, …, Tk on a probabil...
International audienceWe prove mean convergence, as $N\to\infty$, for the multiple ergodic average...
Abstract. We prove the L2 convergence for the linear multiple ergodic averages of commuting transfor...
In this dissertation, Szemer edi's Theorem is proven using ergodic theoretic techniques via the Furs...
This thesis is devoted to the study of some questions of multiple convergence and recurrence in ergo...
We provide various counter examples for quantitative multiple recurrence problems for systems with m...
We prove pointwise convergence, as N → ∞, for the multiple ergodic averages (1/N) Σn=1N f(Tnx) · g(S...
We prove a generalization of van der Corput's difference theorem for sequences of vectors in a Hilbe...
AbstractLetS: [0,1]→[0,1] be a piecewise monotonic transformation satisfying some conditions. We sho...
Recently, T. Tao gave a finitary proof a convergence theorem for multiple averages with several comm...
Abstract. We prove a version of Furstenberg’s ergodic theorem with restric-tions on return times. Mo...
117 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.Let (X, B , P) be a non-ato...
An IP system is a function n taking finite subsets of N to a commutative, additive group Ω satisfyin...
My research uses methods of dynamical systems to study questions that arise related to com-binatoria...
Abstract. Let (X,B, µ) be a probability space and let T1,..., Tl be l commuting invertible measure p...
We consider a mutually disjoint family of measure preserving transformations T1, …, Tk on a probabil...
International audienceWe prove mean convergence, as $N\to\infty$, for the multiple ergodic average...
Abstract. We prove the L2 convergence for the linear multiple ergodic averages of commuting transfor...
In this dissertation, Szemer edi's Theorem is proven using ergodic theoretic techniques via the Furs...
This thesis is devoted to the study of some questions of multiple convergence and recurrence in ergo...
We provide various counter examples for quantitative multiple recurrence problems for systems with m...
We prove pointwise convergence, as N → ∞, for the multiple ergodic averages (1/N) Σn=1N f(Tnx) · g(S...
We prove a generalization of van der Corput's difference theorem for sequences of vectors in a Hilbe...
AbstractLetS: [0,1]→[0,1] be a piecewise monotonic transformation satisfying some conditions. We sho...
Recently, T. Tao gave a finitary proof a convergence theorem for multiple averages with several comm...
Abstract. We prove a version of Furstenberg’s ergodic theorem with restric-tions on return times. Mo...
117 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2001.Let (X, B , P) be a non-ato...
An IP system is a function n taking finite subsets of N to a commutative, additive group Ω satisfyin...
My research uses methods of dynamical systems to study questions that arise related to com-binatoria...