Sze-Man Ngai

activity

20142025

most citedOne-dimensional wave equations defined by fractal Laplacians

18 citations · 19 across the 10 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.FA2022

Separation conditions for iterated function systems with overlaps on Riemannian manifolds

Sze-Man Ngai, Yangyang Xu

We formulate the weak separation condition and the finite type condition for conformal iterated function systems on Riemannian manifolds with nonnegative Ricci curvature, and gener…

math.FA2022★ 1 cited

A class of self-affine tiles in $R^{d}$ that are $d$ -dimensional tame balls

Guotai Deng, Chuntai Liu, Sze-man Ngai

We study a family of self-affine tiles in $R^{d}$ ( $d \geq 2$ ) with noncollinear digit sets, which naturally generalizes a class studied originally by Deng and Lau in $\mathbb{…

math.FA2022

Existence of $L^{q}$ -dimension and entropy dimension of self-conformal measures on Riemannian manifolds

Sze-Man Ngai, Yangyang Xu

Peres and Solomyak proved that on $R^{n}$ , the limits defining the $L^{q}$ -dimension for any $q \in (0, \infty) ∖ {1}$ , and the entropy dimension of a self-conformal measu…

Separation conditions for iterated function systems with overlaps on Riemannian manifolds

A class of self-affine tiles in Rd that are d-dimensional tame balls

Existence of Lq-dimension and entropy dimension of self-conformal measures on Riemannian manifolds

A class of self-affine tiles in $R^{d}$ that are $d$ -dimensional tame balls

Existence of $L^{q}$ -dimension and entropy dimension of self-conformal measures on Riemannian manifolds