The Dirac operator for the Ruelle-Koopman pair on L^p-spaces: an interplay between Connes distance and symbolic dynamics

William Braucks, Artur O. Lopes

Denote by $\hat{\mathbf{I}}¼$ the maximal entropy measure for the shift \(σ\) acting on $\hat{I}\text{c◯}=\{0,1{\}}^{\mathbb{N}}$, by $\ruelle$ the associated Ruelle operator and by $\koopman = \ruelle^{\dag…