Mengjie Zhang

collaborators

2 papers

math.DS2025

Multifractal analysis of the convergence exponents for the digits in $d$ -decaying Gauss like dynamical systems

Kunkun Song, Mengjie Zhang

Let ${a_{n} (x)}_{n \geq 1}$ be the sequence of digits of $x \in (0, 1)$ in infinite iterated function systems with polynomial decay of the derivative. We first study the multifractal sp…

math.AP2024

Nodal sets and continuity of eigenfunctions of Kre\uÄ±-Feller operators

Sze-Man Ngai, Meng-Ke Zhang, Wen-Quan Zhao

Let $I^¼$ be a compactly supported positive finite Borel measure on $R^{d}$ . Let $0 < I^»_{1} \leq I^»_{2} \leq \dots$ be eigenvalues of the Kre $A ¨ \pm ˘$ n-Feller operator $I^_{I^} ¼$ . We p…

Multifractal analysis of the convergence exponents for the digits in d-decaying Gauss like dynamical systems

Nodal sets and continuity of eigenfunctions of Kre\uÄ±-Feller operators

Multifractal analysis of the convergence exponents for the digits in $d$ -decaying Gauss like dynamical systems