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arXiv · 1310.4324

Spectral triple and Sinai - Ruelle - Bowen measures

Shrihari Sridharan
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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.

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Shrihari Sridharan. 2014-08-13. Spectral triple and Sinai - Ruelle - Bowen measures. https://arxiv.org/abs/1310.4324

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