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arxiv: 1310.4324 · v2 · pith:ZCPJRCYNnew · submitted 2013-10-16 · 🧮 math.DS

Spectral triple and Sinai - Ruelle - Bowen measures

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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.

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