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. Without specializing in a small number of subject areas, it emphasizes the most active and influential areas of current mathematics.


Volume 94, Number 1

Publication Date: 15 July 1998

An improved upper bound for the $3$-dimensional dimer problem

Mihai Ciucu; 1-11

Rotation numbers of Hamiltonian isotopies in complex projective spaces

David Théret; 13-27

Existence of a complex line in tame almost complex tori

Victor Bangert; 29-40

The space of rational maps on $\mathbb{P}^1$

Joseph H. Silverman; 41-77

On some decomposition properties for factors of type $\mathrm{II}_1$

Liming Ge and Sorin Popa; 79-101

Description of the $n$-orthogonal curvilinear coordinate systems and Hamiltonian integrable systems of hydrodynamic type, I: Integration of the Lamé equations

Vladimir E. Zakharov; 103-139

Solutions of superlinear elliptic equations and their Morse indices, I

A. Harrabi, S. Rebhi and A. Selmi; 141-157

Solutions of superlinear elliptic equations and their Morse indices, II

A. Harrabi, S. Rebhi and A. Selmi; 159-179

Embeddings of $PGL_2(31)$ and $SL_2(32)$ in $E_8(\mathbb{C})$

Robert L. Griess, Jr. and A. J. E. Ryba; 181-211

Correction to “The stable rank of some free product $C^\ast$-algebras”

Ken Dykema, Uffe Haagerup and Mikael Rørdam; 213

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