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From the Ginzburg-Landau model to vortex lattice problems
the Ginzburg-Landau model vortex lattice problems
2010/11/24
We study minimizers of the two-dimensional Ginzburg-Landau energy with applied magnetic field, between the first and second critical fields. In this regime, minimizing configurations exhibit densely p...
Definability of the variety generated by a commutative monoid in the lattice of commutative semigroup varieties
commutative monoid lattice commutative semigroup varieties
2010/11/11
Let M be a commutative monoid. We provide an explicit first-order formular that defines the variety generated by M in the lattice of commutative semigroup varieties.
An Infinite Surface With The Lattice Property I: Veech Groups and Coding Geodesics
The Lattice Property I Veech Groups Coding Geodesics
2010/11/9
We study the symmetries and geodesics of an infinite translation surface which arises as a limit of translation surfaces built from regular polygons, studied by Veech. We find the affine symmetry grou...
Large deviation principles for non gradient weakly asymmetric stochastic lattice gases
deviation principles gradient weakly lattice gases
2010/11/11
We consider a lattice gas on the discrete d-dimensional torus (Z/NZ)^d with a generic translation invariant, finite range interaction satisfying a uniform strong mixing condition. The lattice gas perf...