Jiang Lai

activity

20222026

collaborators

4 papers

math.CA2026

Positive measure and level sets of the Takagi function

Lai Jiang

Let $T$ be the classical Takagi function, and $L (y) := {x \in [0, 1] : T (x) = y}$ be its level set at height $y$ . For each positive integer $m$ , let $S_{m}$ be the set of $y$ for wh…

math.GT2024

Box dimension of fractal interpolation surfaces with vertical scaling function

Lai Jiang

In this paper, we first present a simple lemma which allows us to estimate the box dimension of graphs of given functions by the associated oscillation sums and oscillation vectors…

math.CA2023

Box dimension of generalized affine fractal interpolation functions (II)

Lai Jiang, Huo-Jun Ruan

Let $f$ be a generalized affine fractal interpolation function with vertical scaling functions. In this paper, we prove the monotonicity of spectral radii of vertical scaling matri…

math.MG2022

Box dimension of generalized affine fractal interpolation functions

Lai Jiang, Huo-Jun Ruan

Let $f$ be a generalized affine fractal interpolation function with vertical scaling function $S$ . In this paper, we study $dim_{B} Γ f$ , the box dimension of the graph of $f$ , under…