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 $\mu$ the maximal entropy measure for the shift map $\sigma$ acting on $\Omega =\{0,1{\}}^{\mathbb{N}}$, by $L$ the associated Ruelle operator and by $K=L^{†}$ the Koopma…