2 papers
math.FA2026
Abstract Theory of Bogoliubov Linearizations with Application to Nonlinear Thermodynamic Formalism
Jean-Bernard Bru, Walter de Siqueira Pedra, Artur Oscar Lopes
Bogoliubov's 1947 approximation, originally developed in the microscopic theory of superfluidity, laid the foundation for solving previously intractable quantum models and later be…
math.DS2025
Nonlinear Thermodynamic Formalism: Mean-field Phase Transitions, Large Deviations and Bogoliubov's Variational Principle
Jean-Bernard Bru, Walter de Siqueira Pedra, Artur O. Lopes
Let , be the shift acting on , the set of -invariant probabilities. Given a Hölder potential and a continuous fu…