欧拉数三角形的边界

Boundary Harnack Inequality for alpha-harmonic functions on the Sierpiński triangle

We prove an uniform boundary Harnack inequality for nonnegative functions harmonic with respect to $α$-stable process on the Sierpi{ń}ski triangle, where $α\in (0, 1)$. Our result requires no regularity assumptions on the domain of harmonicity.

矩问题与三角形数的边界

Moment problems and boundaries of number triangles

边界问题的图形像帕斯卡的，但一般多重的边缘是有关的“落后”问题的时刻的豪斯多夫型。

三角形上20V模型的北极曲线

Arctic curves of the 20V model on a triangle

利用切线方法预测三角形上二十顶点模型在无序相中的北极曲线，得到含六种冻结相和一种液相的状态图，并完成构型的精确细化枚举。

Littlewood-Paley theory for triangle buildings

For the natural two parameter filtration $(\mathcal{F}_λ: λ\in P)$ on the boundary of a triangle building we define a maximal function and a square function and show their boundedness on $L^p(Ω_0)$ for $p \in (1, \infty)$. At the end we consider $L^p(Ω_0)$ boundedness of martingale transforms. If the building is of $\text{GL}(3, \mathbb{Q}_p)$ then $Ω_0$ can be identified with $p$-adic Heisenberg group.