William M. M. Braucks

collaborators

3 papers

math.OA2025

A noncommutative Ruelle's Theorem for a normalized potential taking values on positivity-improving operators

W. M. M. Braucks, A. O. Lopes

Let $\mathcal{A}$ be a finite-dimensional real (or complex) C*-algebra, $Î©_{A}$ an aperiodic subshift of finite type, and $\mathcal{C}(Î©_{A}; \mathcal{A})$ the set of conti…

math.FA2025

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 $I^¼$ the maximal entropy measure for the shift map $I ¨ $ acting on $I^c ◯ = {0, 1}^{N}$ , by $L$ the associated Ruelle operator and by $K = L^{†}$ the Koo…

math-ph2025

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 $I^¼$ the maximal entropy measure for the shift $Ï$ acting on $I^c ◯ = {0, 1}^{N}$ , by $\ruelle$ the associated Ruelle operator and by $\koopman = \ruelle^{\dag…