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Two-dimensional Spin Ice and the Sixteen-Vertex Model
In this thesis we present a thorough study of the static and dynamic properties of the 2D sixteen-vertex model or, in other words, a simplified version of the dipolar... -
A Reduced Form for Linear Differential Systems and its Application to Integra...
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A Reduction Method for Higher Order Variational Equations of Hamiltonian Systems
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On the finite size corrections of anti-ferromagnetic anomalous dimensions in ...
38 pages, Latex revised version: draft formulae indicator deleted, one reference added, typos corrected, few minor text modifications -
On Action-angle coordinates and the Poincaré Coordinates
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The three- and the N-body problem
We introduce the $N$-body problem of mathematical celestial mechanics, and discuss its astronomical relevance, its simplest solutions inherited from the two-body... -
Non-integrability by discrete quadratures
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Algebraic Entropy for lattice equations
We give the basic definition of algebraic entropy for lattice equations. The entropy is a canonical measure of the complexity of the dynamics they define. Its... -
Computing necessary integrability conditions for planar parametrized homogene...
International audience
