Bohan Yang

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math.NT2026

Winning property of counterexamples to Uniform Littlewood's Conjecture

Vasiliy Neckrasov, Chengyang Wu, Bohan Yang

In this paper, we prove that the set of counterexamples to the uniform Littlewood's conjecture proposed in Bandi-Fregoli-Kleinbock, that is, the set of pairs of real numbers $(x,y)…

math.NT2026

Slowly Divergent Trajectories for Weighted Singular Vectors in R^2

Bohan Yang

Let $w = (w_{1}, w_{2})$ satisfy $w_{1} > w_{2} > 0$ and $w_{1} + w_{2} = 1$ . For every function $f : [0, \infty) \to (0, \infty)$ with $f (t) \to 0$ , we prove that the set of $w$ -singular vectors whose weighted…

math.NT2026

Maximal Gaps for Dilated Lacunary Integer Sequences

Yuval Peres, Bohan Yang

Let $(a_n)_{n\ge1}\subset\mathbb{N}$ be a lacunary sequence, $a_{n+1}\ge q a_n$ for $q>1$. For $x\in\mathbb{T}$, we study the maximal empty circular gap $G_N(x)$ of the f…