Abstract
We consider multiparameter dynamics on the space of unimolular lattices. Along with quantitative nondivergence we prove that multiplicative Diophantine exponents of hyperplanes are inherited by their nondegenerate submanifolds.
Managing Editor: Weissauer, Rainer
Ed. by Colding, Tobias / Cuntz, Joachim / Huybrechts, Daniel / Hwang, Jun-Muk
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Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds
1Erwin Schroedinger Institut, Boltzmanngasse 9, 1090 Vienna, Austria
Citation Information: . Volume 2012, Issue 664, Pages 93–113, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: 10.1515/CRELLE.2011.110, March 2012
Publication History:
- Received:
- 2009-11-06
- Revised:
- 2010-07-27
- Published Online:
- 2012-03-02
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