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Comptes Rendus Mathématique
Volume 352, n° 11
pages 875-879 (novembre 2014)
Doi : 10.1016/j.crma.2014.08.019
Received : 13 August 2014 ;  accepted : 27 August 2014
A volume estimate for the set of stable lattices
Une estimation du volume de l'ensemble des réseaux stables

Uri Shapira a , Barak Weiss b
a Dept. of Mathematics, Technion, Haifa, Israel 
b Dept. of Mathematics, Tel Aviv University, Tel Aviv, Israel 


We show that in high dimensions the set of stable lattices is almost of full measure in the space of unimodular lattices.

The full text of this article is available in PDF format.

Nous montrons qu'en grande dimension, l'ensemble des réseaux stables est de mesure presque pleine dans l'espace des réseaux unimodulaires.

The full text of this article is available in PDF format.
1  I.e. the measure of points at which f is not continuous is zero.

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