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20032026
most citedUltrametricity in the Edwards-Anderson Model

41 citations · 241 across the 22 of their papers we have counts for

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6 papers · 1 filter

math-ph2025

Statistical Properties of the Rooted-Tree Encoding of

Pierluigi Contucci, Claudio Giberti, Godwin Osabutey +1

We prime-encode the natural numbers via recursive factorisation, iterated to the exponents, generating a corpus of planar rooted trees equivalently represented as Dyck words. This…

math-ph2022★ 10 cited

Uphill in reaction-diffusion multi-species interacting particles systems

Francesco Casini, Cristian Giardina, Cecilia Vernia

We study reaction-diffusion processes with multi-species of particles and hard-core interaction. We add boundary driving to the system by means of external reservoirs which inject…

math-ph2018

Finite-size corrections for the attractive mean-field monomer-dimer model

Diego Alberici, Pierluigi Contucci, Rachele Luzi +1

The finite volume correction for a mean-field monomer-dimer system with an attractive interaction are computed for the pressure density, the monomer density and the susceptibility.…

math-ph2012★ 21 cited

Inverse problem robustness for multi-species mean field spin models

M. Fedele, C. Vernia, P. Contucci

The inverse problem method is tested for a class of mean field statistical mechanics models representing a mixture of particles of different species. The robustness of the inversio…

math-ph2004

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…

math-ph2003

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…