## 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.

Stable bundles and integrable systemsVolume 54, Number 1 (1987)
Random walks in the group of Euclidean isometries and self-similar measuresVolume 165, Number 6 (2016)
Irreducible modular representations of $\mathrm{GL}_2$ of a local fieldVolume 75, Number 2 (1994)
Formal power series transformationsVolume 5, Number 4 (1939)
A Morse theory for equivariant Yang-MillsVolume 66, Number 2 (1992)
• 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): 2.07
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

#### Stochastic six-vertex model

Volume 165, Number 3
##### Abstract

We study the asymmetric six-vertex model in the quadrant with parameters on the stochastic line. We show that the random height function of the model converges to an explicit deterministic limit shape as the mesh size tends to 0. We further prove that the one-point fluctuations around the limit shape are asymptotically governed by the GUE Tracy–Widom distribution. We also explain an equivalent formulation of our model as an interacting particle system, which can be viewed as a discrete time generalization of ASEP started from the step initial condition. Our results confirm a 1992 prediction of Gwa and Spohn that this system belongs to the KPZ universality class.