17 citations · 72 across the 27 of their papers we have counts for
36 papers
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…
A note on dyadic approximation in Cantor's set
Demi Allen, Simon Baker, Sam Chow +1
We consider the convergence theory for dyadic approximation in the middle-third Cantor set, , for approximation functions of the form (). In particular…
Non-Salem sets in metric Diophantine approximation
Kyle Hambrook, Han Yu
A classical result of Kaufman states that, for each the set of well approximable numbers \[ E(τ)=\{x\in\mathbb{R}: \|qx\| < |q|^{-τ} \text{ for infinitely many integers q}\}…
Bernoulli convolutions with Garsia parameters in have continuous density functions
Han Yu
Let be an algebraic integer with Mahler measure A classical result of Garsia shows that the Bernoulli convolution is absolutely continuous with respe…
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 equa…
Rational points near self-similar sets
Han Yu
In this paper, we consider a problem of counting rational points near self-similar sets. Let be an integer. We shall show that for some self-similar measures on $\mathbb{…