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math.DS2026
Ergodic Optimization and Ground States: a brief Introduction
Artur O. Lopes
Our goal in this short note is to briefly and succinctly describe some basic concepts and properties of Ergodic Optimization for readers unfamiliar with the subject. We avoid techn…
math.DS2026
A Dynamical Approach to Non-Extensive Thermodynamics
Artur O. Lopes, Paulo Varandas
We develop a non-extensive thermodynamic formalism for the one-sided shift on a finite alphabet, inspired by Tsallis' generalization of Boltzmann entropy in statistical physics. We…