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math.CA2023
The fractal uncertainty principle via Dolgopyat's method in higher dimensions
Aidan Backus, James Leng, Zhongkai Tao
We prove a fractal uncertainty principle with exponent , , for Ahlfors--David regular subsets of with dimension whi…
math.CA2020
Moser's Method and Conservative Extensions of Diffeomorphisms
James Leng
This paper shall be concerned with three main results. After a brief recollection of basic symplectic geometry, we prove using Moser's homotopy method a special case of the Strong…