James Leng

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20182026

most citedOn finite spacer rank for words and subshifts

2 citations · 2 across the 8 of their papers we have counts for

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math.NT2023

Efficient equidistribution of periodic nilsequences and applications

James Leng

This is a companion paper to arXiv:2312.10772. We deduce an equidistribution theorem for periodic nilsequences and use this theorem to give two applications in arithmetic combinato…

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 $\frac{d}{2} - δ + ε$ , $ε > 0$ , for Ahlfors--David regular subsets of $R^{d}$ with dimension $δ$ whi…