404 citations · 3.5k across the 79 of their papers we have counts for
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cond-mat.other2004
Sandpiles and superconductors: dual variational formulations for critical-state problems
John W. Barrett, Leonid Prigozhin
Similar evolutionary variational inequalities appear as convenient formulations for continuous models for sandpile growth, magnetization of type-II superconductors, and evolution o…
gr-qc2004★ 15 cited
Feynman loops and three-dimensional quantum gravity
John W. Barrett
This paper explores the idea that within the framework of three-dimensional quantum gravity one can extend the notion of Feynman diagram to include the coupling of the particles in…
math.CT2004★ 54 cited
Categorical representations of categorical groups
John W. Barrett, Marco Mackaay
The representation theory for categorical groups is constructed. Each categorical group determines a monoidal bicategory of representations. Typically, these categories contain rep…