Jiayin Liu

most citedOn the Hausdorff dimension of circular Furstenberg sets

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.DG2025

One Dimensional Asymptotic Plateau Problem in $n$ -Dimensional Asymptotically Conical Manifolds

Jiayin Liu, Shijin Zhang, Yuan Zhou

Let $(M, g)$ be an asymptotically conical Riemannian manifold having dimension $n \geq 2$ , opening angle $α \in (0, π /2) ∖ {arcsin \frac{1}{2 k + 1}}_{k \in N}$ and pos…

math.CA2023

Restricted Projections to Lines in $R^{n + 1}$

Jiayin Liu

We prove the following restricted projection theorem. Let $n \geq 3$ and $Σ \subset S^{n}$ be an $(n - 1)$ -dimensional $C^{2}$ manifold such that $Σ$ has sectional curvature $> 1$ . Let $Z…

math.CA2023★ 1 cited

On the Hausdorff dimension of circular Furstenberg sets

Katrin Fässler, Jiayin Liu, Tuomas Orponen

For $0 \leq s \leq 1$ and $0 \leq t \leq 3$ , a set $F \subset R^{2}$ is called a circular $(s, t)$ -Furstenberg set if there exists a family of circles $S$ of Haus…

One Dimensional Asymptotic Plateau Problem in n-Dimensional Asymptotically Conical Manifolds

Restricted Projections to Lines in Rn+1

On the Hausdorff dimension of circular Furstenberg sets

One Dimensional Asymptotic Plateau Problem in $n$ -Dimensional Asymptotically Conical Manifolds

Restricted Projections to Lines in $R^{n + 1}$