91 citations · 332 across the 23 of their papers we have counts for
8 papers · 1 filter
Large deviations for the annealed Ising model on inhomogeneous random graphs: spins and degrees
Sander Dommers, Cristian Giardinà, Claudio Giberti +1
We prove a large deviations principle for the total spin and the number of edges under the annealed Ising measure on generalized random graphs. We also give detailed results on how…
A trivial non-chaotic map lattice asymptotically indistiguishable from a Lévy walk
Lucia Salari, Lamberto Rondoni, Claudio Giberti
In search for mathematically tractable models of anomalous diffusion, we introduce a simple dynamical system consisting of a chain of coupled maps of the interval whose Lyapunov ex…
Interaction Flip Identities for non Centered Spin Glasses
Pierluigi Contucci, Cristian Giardina', Claudio Giberti
We consider spin glass models with non-centered interactions and investigate the effect, on the random free energies, of flipping the interaction in a subregion of the entire volum…
Duality for stochastic models of transport
Gioia Carinci, Cristian Giardina', Claudio Giberti +1
We study three classes of continuous time Markov processes (inclusion process, exclusion process, independent walkers) and a family of interacting diffusions (Brownian energy proce…
Stability of the Spin Glass Phase under Perturbations
Pierluigi Contucci, Cristian Giardina', Claudio Giberti
We introduce and prove a novel linear response stability theory for spin glasses. The new stability under suitable perturbation of the equilibrium state implies the whole set of st…
Interaction-Flip Identities in Spin Glasses
Pierluigi Contucci, Cristian Giardina, Claudio Giberti
We study the properties of fluctuation for the free energies and internal energies of two spin glass systems that differ for having some set of interactions flipped. We show that t…
Finding Minima in Complex Landscapes: Annealed, Greedy and Reluctant Algorithms
Pierluigi Contucci, Cristian Giardina', Claudio Giberti +1
We consider optimization problems for complex systems in which the cost function has a multivalleyed landscape. We introduce a new class of dynamical algorithms which, using a suit…
Interpolating Greedy and Reluctant Algorithms
P. Contucci, C. Giardina', C. Giberti +2
In a standard NP-complete optimization problem we introduce an interpolating algorithm between the quick decrease along the gradient (greedy dynamics) and a slow decrease close to…