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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 

Abstract

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

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Résumé

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

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1  I.e. the measure of points at which f is not continuous is zero.


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