## Duke Mathematical Journal

Published by Duke University Press since its inception in 1935, the Duke Mathematical Journal is one of the world's leading mathematical journals. DMJ emphasizes the most active and influential areas of current mathematics. Advance publication of articles online is available.

## Top downloads over the last seven days

A Hilbert space of Dirichlet series and systems of dilated functions in $L^2(0,1)$Volume 86, Number 1 (1997)
The central limit theorem for dependent random variablesVolume 15, Number 3 (1948)
A topological property of asymptotically conical self-shrinkers of small entropyVolume 166, Number 3 (2017)
Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functionsVolume 165, Number 12 (2016)
Lagrangian intersections, symplectic energy, and areas of holomorphic curvesVolume 95, Number 1 (1998)
• ISSN: 0012-7094 (print), 1547-7398 (electronic)
• Publisher: Duke University Press
• Discipline(s): Mathematics
• Full text available in Euclid: 1935--
• Access: By subscription only
• Euclid URL: http://projecteuclid.org/dmj

### Featured bibliometrics

MR Citation Database MCQ (2015): 2.29
JCR (2015) Impact Factor: 2.350
JCR (2015) Five-year Impact Factor: 2.337
JCR (2015) Ranking: 9/312 (Mathematics)
Article Influence: 3.899
Eigenfactor: Duke Mathematical Journal
SJR/SCImago Journal Rank (2015): 5.675

Indexed/Abstracted in: Current Contents: Physical, Chemical and Earth Sciences, IBZ Online, Magazines for Libraries, MathSciNet, Science Citation Index, Science Citation Index Expanded, Scopus, and zbMATH

### Featured article

#### A topological property of asymptotically conical self-shrinkers of small entropy

Volume 166, Number 3 (2017)
##### Abstract

For any asymptotically conical self-shrinker with entropy less than or equal to that of a cylinder we show that the link of the asymptotic cone must separate the unit sphere into exactly two connected components, both diffeomorphic to the self-shrinker. Combining this with recent work of Brendle, we conclude that the round sphere uniquely minimizes the entropy among all nonflat two-dimensional self-shrinkers. This confirms a conjecture of Colding, Ilmanen, Minicozzi, and White in dimension two.