## 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.

Integral formulas in Crofton’s style on the sphere and some inequalities referring to spherical curvesVolume 9, Number 4 (1942)
Regularity of solutions to the Schrödinger equationVolume 55, Number 3 (1987)
On coefficient problems for univalent functions and conformal dimensionVolume 66, Number 2 (1992)
On the zeros of $\zeta'(s)$ near the critical lineVolume 110, Number 3 (2001)
Basic properties of discrete analytic functionsVolume 23, Number 2 (1956)
• 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): 2.26
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: CompuMath Citation Index, Current Contents: Physical, Chemical, and Earth Sciences, International Bibliography of Periodical Literature (IBZ), ISI Science Citation Index Expanded, Magazines for Libraries, MathSciNet, Scopus, zbMATH

### Featured article

#### Families of short cycles on Riemannian surfaces

Volume 165, Number 7 (2016)
##### Abstract

Let $M$ be a closed Riemannian surface of genus $g$. We construct a family of 1-cycles on $M$ that represents a nontrivial element of the $k$th homology group of the space of cycles and such that the mass of each cycle is bounded above by $C \max\{\sqrt{k}, \sqrt{g}\} \sqrt{\mathrm{Area}(M)}$. This result is optimal up to a multiplicative constant.