A volume estimate for the set of stable lattices

Uri Shapira; Barak Weiss

doi:10.1016/j.crma.2014.08.019

A volume estimate for the set of stable lattices

Uri Shapira
, Barak Weiss

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

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

Original language	English
Pages (from-to)	875-879
Number of pages	5
Journal	Comptes Rendus Mathematique
Volume	352
Issue number	11
DOIs	https://doi.org/10.1016/j.crma.2014.08.019
State	Published - 1 Jan 2014
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1016/j.crma.2014.08.019

Cite this

@article{06670f2e1e09433b8d4285b75e1494ee,

title = "A volume estimate for the set of stable lattices",

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

author = "Uri Shapira and Barak Weiss",

note = "Publisher Copyright: {\textcopyright} 2014 Acad{\'e}mie des sciences.",

year = "2014",

month = jan,

day = "1",

doi = "10.1016/j.crma.2014.08.019",

language = "English",

volume = "352",

pages = "875--879",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "11",

}

TY - JOUR

T1 - A volume estimate for the set of stable lattices

AU - Shapira, Uri

AU - Weiss, Barak

PY - 2014/1/1

Y1 - 2014/1/1

N2 - We show that in high dimensions the set of stable lattices is almost of full measure in the space of unimodular lattices.

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

UR - https://www.scopus.com/pages/publications/84927691322

U2 - 10.1016/j.crma.2014.08.019

DO - 10.1016/j.crma.2014.08.019

M3 - Article

AN - SCOPUS:84927691322

SN - 1631-073X

VL - 352

SP - 875

EP - 879

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 11

ER -

A volume estimate for the set of stable lattices

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this