no. 11
Number theory/Geometry
A volume estimate for the set of stable lattices
[Une estimation du volume de l'ensemble des réseaux stables]

Présenté par : Jean-Pierre Serre

Shapira, Uri1 ; Weiss, Barak2
1 Dept. of Mathematics, Technion, Haifa, Israel
2 Dept. of Mathematics, Tel Aviv University, Tel Aviv, Israel
Comptes Rendus. Mathématique, Tome 352 (2014) no. 11, pp. 875-879.

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

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

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.08.019
Shapira, Uri 1 ; Weiss, Barak 2

1 Dept. of Mathematics, Technion, Haifa, Israel
2 Dept. of Mathematics, Tel Aviv University, Tel Aviv, Israel 
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Shapira, Uri; Weiss, Barak. A volume estimate for the set of stable lattices. Comptes Rendus. Mathématique, Tome 352 (2014) no. 11, pp. 875-879. doi : 10.1016/j.crma.2014.08.019. http://www.numdam.org/articles/10.1016/j.crma.2014.08.019/

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