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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.FA2024
The Dirac operator for the pair of Ruelle and Koopman operators, and a generalized Boson formalism
William M. M. Braucks, Artur O. Lopes
Denote by the maximal entropy measure for the shift map acting on , by the associated Ruelle operator and by the Koopma…