Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300906799> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4300906799 abstract "In two recent papers we introduced some new techniques for constructing an extension of a probability-preserving system $T:mathbb{Z}^dcurvearrowright (X,mu)$ that enjoys certain desirable properties in connexion with the asymptotic behaviour of some related nonconventional ergodic averages. The present paper is the first of two that will explore various refinements and extensions of these ideas. This first part is dedicated to some much more general machinery for the construction of extensions that can be used to recover various earlier results. It also contains two relatively simple new applications of this machinery to the study of certain families of nonconventional averages, one in discrete and one in continuous time (convergence being a new result for the latter). In the forthcoming second part (arXiv:0910.0907) we will introduce the problem of describing the characteristic factors and the limit of the linear nonconventional averages $frac{1}{N}sum_{n=1}^N prod_{i=1}^kf_icirc T^{nbf{p}_i}$ when the directions $bf{p}_1$, $bf{p}_2$, ldots, $bf{p}_k in mathbb{Z}^d$ are not assumed to be linearly independent, and provide a fairly detailed solution in the case when k = 3, d = 2 and any pair of directions is linearly independent. This will then be used to prove the convergence in $L^2(mu)$ of the quadratic nonconventional averages $frac{1}{N}sum_{n=1}^N (f_1circ T_1^{n^2})(f_2circ T_1^{n^2}T_2^n)$." @default.
- W4300906799 created "2022-10-04" @default.
- W4300906799 creator A5069962326 @default.
- W4300906799 date "2009-05-04" @default.
- W4300906799 modified "2023-10-03" @default.
- W4300906799 title "Pleasant extensions retaining algebraic structure, I" @default.
- W4300906799 doi "https://doi.org/10.48550/arxiv.0905.0518" @default.
- W4300906799 hasPublicationYear "2009" @default.
- W4300906799 type Work @default.
- W4300906799 citedByCount "0" @default.
- W4300906799 crossrefType "posted-content" @default.
- W4300906799 hasAuthorship W4300906799A5069962326 @default.
- W4300906799 hasBestOaLocation W43009067991 @default.
- W4300906799 hasConcept C111472728 @default.
- W4300906799 hasConcept C114614502 @default.
- W4300906799 hasConcept C118615104 @default.
- W4300906799 hasConcept C121332964 @default.
- W4300906799 hasConcept C122044880 @default.
- W4300906799 hasConcept C129844170 @default.
- W4300906799 hasConcept C134306372 @default.
- W4300906799 hasConcept C138885662 @default.
- W4300906799 hasConcept C151201525 @default.
- W4300906799 hasConcept C162324750 @default.
- W4300906799 hasConcept C199360897 @default.
- W4300906799 hasConcept C202444582 @default.
- W4300906799 hasConcept C2524010 @default.
- W4300906799 hasConcept C2777303404 @default.
- W4300906799 hasConcept C2778029271 @default.
- W4300906799 hasConcept C2780586882 @default.
- W4300906799 hasConcept C33923547 @default.
- W4300906799 hasConcept C41008148 @default.
- W4300906799 hasConcept C50522688 @default.
- W4300906799 hasConcept C9376300 @default.
- W4300906799 hasConceptScore W4300906799C111472728 @default.
- W4300906799 hasConceptScore W4300906799C114614502 @default.
- W4300906799 hasConceptScore W4300906799C118615104 @default.
- W4300906799 hasConceptScore W4300906799C121332964 @default.
- W4300906799 hasConceptScore W4300906799C122044880 @default.
- W4300906799 hasConceptScore W4300906799C129844170 @default.
- W4300906799 hasConceptScore W4300906799C134306372 @default.
- W4300906799 hasConceptScore W4300906799C138885662 @default.
- W4300906799 hasConceptScore W4300906799C151201525 @default.
- W4300906799 hasConceptScore W4300906799C162324750 @default.
- W4300906799 hasConceptScore W4300906799C199360897 @default.
- W4300906799 hasConceptScore W4300906799C202444582 @default.
- W4300906799 hasConceptScore W4300906799C2524010 @default.
- W4300906799 hasConceptScore W4300906799C2777303404 @default.
- W4300906799 hasConceptScore W4300906799C2778029271 @default.
- W4300906799 hasConceptScore W4300906799C2780586882 @default.
- W4300906799 hasConceptScore W4300906799C33923547 @default.
- W4300906799 hasConceptScore W4300906799C41008148 @default.
- W4300906799 hasConceptScore W4300906799C50522688 @default.
- W4300906799 hasConceptScore W4300906799C9376300 @default.
- W4300906799 hasLocation W43009067991 @default.
- W4300906799 hasOpenAccess W4300906799 @default.
- W4300906799 hasPrimaryLocation W43009067991 @default.
- W4300906799 hasRelatedWork W1822199953 @default.
- W4300906799 hasRelatedWork W1978042415 @default.
- W4300906799 hasRelatedWork W2000389666 @default.
- W4300906799 hasRelatedWork W2045042134 @default.
- W4300906799 hasRelatedWork W2070532359 @default.
- W4300906799 hasRelatedWork W2073401393 @default.
- W4300906799 hasRelatedWork W2170042920 @default.
- W4300906799 hasRelatedWork W2332136239 @default.
- W4300906799 hasRelatedWork W4293862287 @default.
- W4300906799 hasRelatedWork W902770993 @default.
- W4300906799 isParatext "false" @default.
- W4300906799 isRetracted "false" @default.
- W4300906799 workType "article" @default.