41 citations · 137 across the 22 of their papers we have counts for
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Local Order at Arbitrary Distances in Finite-Dimensional Spin-Glass Models
Pierluigi Contucci, Francesco Unguendoli
For a finite dimensional spin-glass model we prove local order at low temperatures for both local observables and for products of observables at arbitrary mutual distance. When the…
Spin-Glass Stochastic Stability: a Rigorous Proof
P. Contucci, C. Giardina'
We prove the property of stochastic stability previously introduced as a consequence of the (unproved) continuity hypothesis in the temperature of the spin-glass quenched state. We…
Griffiths inequalities for the Gaussian spin glass
Satoshi Morita, Hidetoshi Nishimori, Pierluigi Contucci
The Griffiths inequalities for Ising spin-glass models with Gaussian randomness of non-vanishing mean are proved using properties of the Gaussian distribution and gauge symmetry of…
Stochastically Stable Quenched Measures
Alessandra Bianchi, Pierluigi Contucci, Andreas Knauf
We analyze a class of stochastically stable quenched measures. We prove that stochastic stability is fully characterized by an infinite family of zero average polynomials in the co…
Thermodynamic Limit for Finite Dimensional Classical and Quantum Disordered Systems
P. Contucci, C. Giardina', J. Pule'
We provide a very simple proof for the existence of the thermodynamic limit for the quenched specific pressure for classical and quantum disordered systems on a -dimensional lat…