Year: 2025
Type: article
Abstract: 通过Laba-Pramanik的构造和Hoeffding不等式，Shmerkin-Suomala 证明了Mandelbrot随机级联$\beta$-模型诱导的极限随机测度在非退化情形几乎处处为Salem测度.本文结合Kahane的矩估计方法，利用经典的Burkholder及Burkholder-Rosenthal数量值鞅不等式，得到 了Shmerkin-Suomala 结论的新证明. 本文中给出上述随机测度的Fourier系数高阶矩的渐近阶估计还可以做进一步推广.
Source: Scientia Sinica Mathematica
Authors: Chen Xinxin, Han Yong, Qiu Yanqi, Wang Zipeng
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4409776118