Spectral triple and Sinai - Ruelle - Bowen measures
arXiv:1310.4324
Abstract
In this article, we recover the Sinai - Ruelle - Bowen measure associated to a real-valued Hölder continuous function defined on the Julia set of a hyperbolic quadratic polynomial, as a noncommutative measure by constructing an appropriate spectral triple.
The paper has been withdrawn by the author since there is an error in page 7 of the paper