Xintian Zhang

collaborators

3 papers

math.DS2025

On the Fourier transform of random Bernoulli convolutions

Simon Baker, Henna Koivusalo, Sascha Troscheit +1

We investigate random Bernoulli convolutions, namely, probability measures given by the infinite convolution \[ μ_ω= \mathop{\circledast}_{k=1}^{\infty} \left( \frac{δ_0 + δ_{λ_1 λ…

math.DS2023

Hausdorff dimension of the set of eventually always hitting points on a self-conformal set

Xintian Zhang

Recurrence problems are fundamental in dynamics, and for example, sizes of the set of points recurring infinitely often to a target have been studied extensively in many contexts.…

math.NT2023

The dimension of the set of $ψ$ -badly approximable points in all ambient dimensions; on a question of Beresnevich and Velani

Henna Koivusalo, Jason Levesley, Benjamin Ward +1

Let $ψ : N \to [0, \infty)$ , $ψ (q) = q^{- (1 + τ)}$ and let $ψ$ -badly approximable points be those vectors in $R^{d}$ that are $ψ$ -well approximable, but not $c ψ$ -well ap…

On the Fourier transform of random Bernoulli convolutions

Hausdorff dimension of the set of eventually always hitting points on a self-conformal set

The dimension of the set of ψ-badly approximable points in all ambient dimensions; on a question of Beresnevich and Velani

The dimension of the set of $ψ$ -badly approximable points in all ambient dimensions; on a question of Beresnevich and Velani