On the Discrepancy of the $β$-Adic van der Corput Sequence

Journal of Mathematical Sciences

Ninomiya, Syoiti¹ 

关键词: $β$-adic transformation;    ergodic theory;    low-discrepancy sequence;    numerical integration;    quasi-Monte Carlo method;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

The$β$-adicmbox{vanderCorput}sequenceisconstructed.When$β$satisfiessomeconditions,theorderofdiscrepancyofthesequencebecome$O(logM/M)$or$O((logM)^2/M)$.

【 授权许可】

Unknown