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On metric Diophantine approximation in matrices and Lie groups
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-4602-8362
2015 (English)In: Comptes rendus. Mathematique, ISSN 1631-073X, Vol. 353, no 3, 185-189 p.Article in journal (Refereed) Published
Abstract [en]

We study the Diophantine exponent of analytic submanifolds of m x n real matrices, answering questions of Beresnevich, Kleinbock, and Margulis. We identify a family of algebraic obstructions to the extremality of such a submanifold, and give a formula for the exponent when the submanifold is algebraic and defined over Q. We then apply these results to the determination of the Diophantine exponent of rational nilpotent Lie groups.

Place, publisher, year, edition, pages
2015. Vol. 353, no 3, 185-189 p.
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URN: urn:nbn:se:kth:diva-163982DOI: 10.1016/j.crma.2014.12.007ISI: 000350706600001ScopusID: 2-s2.0-84922801674OAI: diva2:807521

QC 20150423

Available from: 2015-04-23 Created: 2015-04-13 Last updated: 2015-04-23Bibliographically approved

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Rosenzweig, Lior
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