## 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.

Integrality of Hausel–Letellier–Villegas kernelsVolume 167, Number 17 (2018)
Iwasawa $L$ -functions for multiplicative abelian varietiesVolume 59, Number 2 (1989)
Conserved energies for the cubic nonlinear Schrödinger equation in one dimensionVolume 167, Number 17 (2018)
The bounded Borel class and $3$ -manifold groupsVolume 167, Number 17 (2018)
The space $L\sp{p}$ , with mixed normVolume 28, Number 3 (1961)
• 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: https://projecteuclid.org/dmj

### Featured bibliometrics

MR Citation Database MCQ (2017): 2.45
JCR (2017) Impact Factor: 2.317
JCR (2017) Five-year Impact Factor: 2.539
JCR (2017) Ranking: 10/309 (Mathematics)
Article Influence (2017): 4.452
Eigenfactor: Duke Mathematical Journal
SJR/SCImago Journal Rank (2017): 6.155

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### Featured article

#### Möbius disjointness for homogeneous dynamics

Volume 167, Number 14 (2018)
##### Abstract

We prove Sarnak’s Möbius disjointness conjecture for all unipotent translations on homogeneous spaces of real connected Lie groups. Namely, we show that if $G$ is any such group, $\Gamma\subset G$ a lattice, and $u\in G$ an Ad-unipotent element, then for every $x\in\Gamma\backslash G$ and every function $f$ continuous on the $1$-point compactification of $\Gamma\backslash G$, the sequence $f(xu^{n})$ cannot correlate with the Möbius function on average.