English

Spectral triple and Sinai - Ruelle - Bowen measures

Dynamical Systems 2014-08-14 v2

Abstract

In this article, we recover the Sinai - Ruelle - Bowen measure associated to a real-valued H\"{o}lder continuous function defined on the Julia set of a hyperbolic quadratic polynomial, as a noncommutative measure by constructing an appropriate spectral triple.

Keywords

Cite

@article{arxiv.1310.4324,
  title  = {Spectral triple and Sinai - Ruelle - Bowen measures},
  author = {Shrihari Sridharan},
  journal= {arXiv preprint arXiv:1310.4324},
  year   = {2014}
}

Comments

The paper has been withdrawn by the author since there is an error in page 7 of the paper