A sharp Freiman type estimate for semisums in two and three dimensional Euclidean spaces
dc.contributor.author
Figalli, Alessio
dc.contributor.author
Jerison, David
dc.date.accessioned
2021-04-23T12:18:10Z
dc.date.available
2019-12-09T14:12:07Z
dc.date.available
2019-12-10T10:00:28Z
dc.date.available
2021-04-23T12:18:10Z
dc.date.issued
2021
dc.identifier.issn
0012-9593
dc.identifier.issn
1873-2151
dc.identifier.other
10.24033/asens.2458
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/384042
dc.description.abstract
Freiman's theorem is a classical result in additive combinatorics concerning the approximate structure of sets of integers that contain a high proportion of their internal sums. As a consequence, one can deduce an estimate for sets of real numbers: "If A⊂R and ∣∣12(A+A)∣∣−|A|≪|A|, then A is close to its convex hull.'' In this paper we prove a sharp form of the analogous result in dimensions 2 and 3. © 2021 Société Mathématique de France
en_US
dc.language.iso
en
en_US
dc.publisher
Société Mathématique de France
en_US
dc.title
A sharp Freiman type estimate for semisums in two and three dimensional Euclidean spaces
en_US
dc.type
Journal Article
ethz.journal.title
Annales scientifiques de l'École Normale Supérieure
ethz.journal.volume
54
en_US
ethz.journal.issue
1
en_US
ethz.pages.start
235
en_US
ethz.pages.end
257
en_US
ethz.identifier.wos
ethz.publication.place
Paris
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09565 - Figalli, Alessio / Figalli, Alessio
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09565 - Figalli, Alessio / Figalli, Alessio
en_US
ethz.date.deposited
2019-12-09T14:12:17Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2021-04-23T12:18:22Z
ethz.rosetta.lastUpdated
2024-02-02T13:33:39Z
ethz.rosetta.versionExported
true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=A%20sharp%20Freiman%20type%20estimate%20for%20semisums%20in%20two%20and%20three%20dimensional%20Euclidean%20spaces&rft.jtitle=Annales%20scientifiques%20de%20l'%C3%89cole%20Normale%20Sup%C3%A9rieure&rft.date=2021&rft.volume=54&rft.issue=1&rft.spage=235&rft.epage=257&rft.issn=0012-9593&1873-2151&rft.au=Figalli,%20Alessio&Jerison,%20David&rft.genre=article&rft_id=info:doi/10.24033/asens.2458&
Dateien zu diesem Eintrag
| Dateien | Größe | Format | Im Viewer öffnen |
|---|---|---|---|
|
Zu diesem Eintrag gibt es keine Dateien. |
|||
Publikationstyp
-
Journal Article [130567]