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 $\mathbf{\mu }$ the maximal entropy measure for the shift \(σ\) acting on $\Omega =\{0,1{\}}^{\mathbb{N}}$, by $\ruelle$ the associated Ruelle operator and by $\koopman = \ruelle^{\dagger…