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arXiv · 1710.00250

Fractal Uncertainty Principle with Explicit Exponent

Long Jin·Ruixiang Zhang
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Abstract

We prove an explicit formula for the dependence of the exponent in the fractal uncertainty principle of Bourgain-Dyatlov on the dimension and on the regularity constant for the regular set. In particular, this implies an explicit essential spectral gap for convex co-compact hyperbolic surfaces when the Hausdorff dimension of the limit set is close to 1.

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Long Jin, Ruixiang Zhang. 2017-09-30. Fractal Uncertainty Principle with Explicit Exponent. https://arxiv.org/abs/1710.00250

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