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Decoupling inequalities with exponential constants

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Decoupling inequalities with exponential constants

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dc.contributor.author Carando, Daniel es_ES
dc.contributor.author Marceca, Felipe es_ES
dc.contributor.author Sevilla Peris, Pablo es_ES
dc.date.accessioned 2023-12-18T19:09:10Z
dc.date.available 2023-12-18T19:09:10Z
dc.date.issued 2022-06-25 es_ES
dc.identifier.issn 0025-5831 es_ES
dc.identifier.uri http://hdl.handle.net/10251/200889
dc.description.abstract [EN] Decoupling inequalities disentangle complex dependence structures of random objects so that they can be analyzed by means of standard tools from the theory of independent random variables. We study decoupling inequalities for vector-valued homogeneous polynomials evaluated at random variables. We focus on providing geometric conditions ensuring decoupling inequalities with good constants depending only exponentially on the degree of the polynomial. Assuming the Banach space has finite cotype we achieve this for classical decoupling inequalities that compare the polynomials with their associated multilinear operators. Under stronger geometric assumptions on the involved Banach spaces, we also obtain decoupling inequalities between random polynomials and fully independent random sums of their coefficients. Finally, we present decoupling inequalities where in the multilinear operator just two independent copies of the random vector are involved. es_ES
dc.description.sponsorship D. Carando: Supported by CONICET-PIP 11220200102366CO, and ANPCyT PICT 2018-04104. F. Marceca: Supported by a CONICET doctoral fellowship, CONICET-PIP 11220200102366CO, and ANPCyT PICT 2018-04104. Current address: Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, A-1090 Vienna, Austria. Manuscript revision with support from the Austrian Science Fund (FWF): Y 1199. P. Sevilla-Peris: Supported by MINECO and FEDER Project MTM2017-83262-C2-1-P, and by GV Project AICO/2021/170. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Mathematische Annalen es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Multilinear forms es_ES
dc.subject Random-variables es_ES
dc.subject Series es_ES
dc.subject Spaces es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Decoupling inequalities with exponential constants es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00208-022-02418-4 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-83262-C2-1-P/ES/ANALISIS COMPLEJO Y GEOMETRIA EN ESPACIOS DE BANACH/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//AICO%2F2021%2F170//OPERADORES EN ESPACIOS DE FUNCIONES ANALITICAS O DIFERENCIABLES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/ANPCyT//PICT 2018-04104/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/CONICET//11220200102366CO/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/FWF//Y 1199/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Técnica Superior de Ingeniería Agronómica y del Medio Natural - Escola Tècnica Superior d'Enginyeria Agronòmica i del Medi Natural es_ES
dc.description.bibliographicCitation Carando, D.; Marceca, F.; Sevilla Peris, P. (2022). Decoupling inequalities with exponential constants. Mathematische Annalen. 386(1-2):1041-1079. https://doi.org/10.1007/s00208-022-02418-4 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00208-022-02418-4 es_ES
dc.description.upvformatpinicio 1041 es_ES
dc.description.upvformatpfin 1079 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 386 es_ES
dc.description.issue 1-2 es_ES
dc.relation.pasarela S\505520 es_ES
dc.contributor.funder Austrian Science Fund es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
dc.contributor.funder Agencia Nacional de Promoción Científica y Tecnológica, Argentina es_ES
dc.contributor.funder Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina es_ES
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