dc.creatorMeson, Alejandro Mario
dc.creatorVericat, Fernando
dc.date.accessioned2018-06-08T19:28:39Z
dc.date.accessioned2018-11-06T16:14:25Z
dc.date.available2018-06-08T19:28:39Z
dc.date.available2018-11-06T16:14:25Z
dc.date.created2018-06-08T19:28:39Z
dc.date.issued2018-01
dc.identifierMeson, Alejandro Mario; Vericat, Fernando; Large deviations for multiple ergodic averages; Taylor & Francis; Journal of Interdisciplinary Mathematics; 20; 8; 1-2018; 1603-1617
dc.identifier0972-0502
dc.identifierhttp://hdl.handle.net/11336/47953
dc.identifier2169-012X
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1905967
dc.description.abstractThe main purpose of this work is to estimate how multiple ergodic averages appart from a given quantity. This problem can be studied by describing a large deviation process for empirical measures as obtained by using the contraction principle. The case of single ergodic averages for empirical measures was already studied by Pfister and Sullivan [Nonlinarity, 10 (2005) 237-261]. To have a more complete picture on empirical measures and V– statistics, we estimate the size of the sets GK = {x : Lr (x) ⊂ K }, where Lr(x) is the limit-point set of the sequence of empirical measures and K is a compact subset of ℳ(Xr) with ℳ(X) the set of measures on X. In pasrticular, we obtain a variational formula for the topological entropy of Gk. The result of this work about the dimension of the sets Gk can be compared with the one recently circulated by Fan, Schemeling and Wu [arXiv:1206.3214v1 (2012)].
dc.languageeng
dc.publisherTaylor & Francis
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1080/09720502.2018.1423910
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/abs/10.1080/09720502.2018.1423910
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectLARGE DEVIATIONS
dc.subjectMULTIPLE ERGODIC AVERAGES
dc.titleLarge deviations for multiple ergodic averages
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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