The phase transition of the number-theoretical spin chain.
Local order at arbitrary distances in finite-dimensional spin-glass models
For a finite dimensional spin-glass model we prove low temperature local order i.e. the property of concentration of the overlap distribution close to the value 1. The theorem hold for both local observables and for products of observables at arbitrary mutual distance: when the Hamiltonian includes the Edwards-Anderson interaction we prove bond local order, when it includes the random-field interaction we prove site local order.
Bipartite mean field spin systems. Existence and solution.
A continuum approximation for the excitations of the interface in the quantum Heisenberg model.
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