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

Finite sums and interpolation formulas over $GF[p^n,x]$L. CarlitzVolume 15, Number 4 (1948)
The asymptotic expansion of Minakshisundaram-Pleijel in the equivariant caseJochen Brüning and Ernst HeintzeVolume 51, Number 4 (1984)
The eigencurve is properHansheng Diao and Ruochuan LiuVolume 165, Number 7 (2016)
Extremal metrics on blowupsClaudio Arezzo, Frank Pacard, and Michael SingerVolume 157, Number 1 (2011)
On isometry groups and maximal symmetryValentin Ferenczi and Christian RosendalVolume 162, Number 10 (2013)
  • 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 (2014): 2.08
JCR (2014) Impact Factor: 1.578
JCR (2014) Five-year Impact Factor: 2.009
JCR (2014) Ranking: 18/310 (Mathematics)
Eigenfactor: Duke Mathematical Journal
SJR/SCImago Journal Rank (2014): 4.592

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

Random walks in the group of Euclidean isometries and self-similar measures

Elon Lindenstrauss and Péter P. Varjú Volume 165, Number 6
Abstract

We study products of random isometries acting on Euclidean space. Building on previous work of the second author, we prove a local limit theorem for balls of shrinking radius with exponential speed under the assumption that a Markov operator associated to the rotation component of the isometries has spectral gap. We also prove that certain self-similar measures are absolutely continuous with smooth densities. These families of self-similar measures give higher-dimensional analogues of Bernoulli convolutions on which absolute continuity can be established for contraction ratios in an open set.