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math.DS2026
Fourier transform of nonlinear images of self-similar measures: qualitative aspects
Amlan Banaji, Han Yu
The goal of this paper is to establish polynomial Fourier decay for images of self-similar measures on under sufficiently nonlinear real-analytic maps $f \colon…
math.DS2026★ 6 cited
Finer geometry of planar self-affine sets
Balázs Bárány, Antti Käenmäki, Han Yu
For planar self-affine sets satisfying the strong separation condition, recent work of Bárány, Hochman, and Rapaport gives mild assumptions under which the Hausdorff dimension eq…