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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-ph2025
Limit theorems for the non-convex multispecies Curie-Weiss model
Francesco Camilli, Emanuele Mingione, Godwin Osabutey
We study the thermodynamic properties of the generalized non-convex multispecies Curie-Weiss model, where interactions among different types of particles (forming the species) are…
math-ph2024
Limit theorems for the cubic mean-field Ising model
Pierluigi Contucci, Emanuele Mingione, Godwin Osabutey
We study a mean-field spin model with three- and two-body interactions. The equilibrium measure for large volumes is shown to have three pure states, the phases of the model. They…