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math.CA2017★ 3 cited
Fractal Uncertainty Principle with Explicit Exponent
Long Jin, Ruixiang Zhang
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 reg…
math.CA2017★ 15 cited
Dolgopyat's method and the fractal uncertainty principle
Semyon Dyatlov, Long Jin
We show a fractal uncertainty principle with exponent , , for Ahflors-David regular subsets of of dimension . This improves over the volume bo…