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math-ph2025
Non-Robustness of the Zero-Temperature-Limit Gibbs Measures to Perturbations of the Potential
Léopoldine Gayral, Mathieu Sablik
The robustness of properties of a statistical physics model to slight perturbations in the exact local interactions of the model is a very relevant philosophical question, consider…
math-ph2023
Characterisation of the Set of Ground States of Uniformly Chaotic Finite-Range Lattice Models
Léo Gayral, Léopoldine Gayral, Mathieu Sablik +1
Chaotic dependence on temperature refers to the phenomenon of divergence of Gibbs measures as the temperature approaches a certain value. Models with chaotic behaviour near zero te…