Utilize este identificador para referenciar este registo: http://hdl.handle.net/1822/39085

TítuloEquidistribution for higher-rank Abelian actions on Heisenberg nilmanifolds
Autor(es)Flaminio, Livio
Cosentino, Salvatore
Heisenberg group
Cohomological equation
EditoraAmerican Institute of Mathematical Sciences
RevistaJournal of Modern Dynamics
Resumo(s)We prove quantitative equidistribution results for actions of Abelian subgroups of the (2g + 1)-dimensional Heisenberg group acting on compact (2g + 1)-dimensional homogeneous nilmanifolds. The results are based on the study of the C∞-cohomology of the action of such groups, on tame estimates of the associated cohomological equations and on a renormalization method initially applied by Forni to surface flows and by Forni and the second author to other parabolic flows. As an application we obtain bounds for finite Theta sums defined by real quadratic forms in g variables, generalizing the classical results of Hardy and Littlewood [25, 26] and the optimal result of Fiedler, Jurkat, and Körner [17] to higher dimension.
Descrição2010 Mathematics Subject Classification: Primary: 37C85, 37A17, 37A45; Secondary: 11K36, 11L07.
Versão da editorahttp://aimsciences.org/journals/displayArticlesnew.jsp?paperID=11898
Arbitragem científicayes
Aparece nas coleções:CMAT - Artigos com arbitragem/Papers with refereeing

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