Symbolical and Geometrical Characterizations of Kronecker Sequences by Using the Accelerated Brun Algorithm

Journal of Mathematical Sciences

Fujita, Takahiko¹  Ninomiya, Syoiti¹  Ito, Shunji¹ 

关键词: ergodic theory;    irrational rotation;    Kronecker sequence;    low-discrepancy sequence;    accelerated Brun algorithm;    three-distance theorem;   

DOI  :  

学科分类：数学（综合）

来源: University of Tokyo * Department of Mathematical Sciences

【 摘 要 】

Wegiveahbox{vanderCorput}-typeexpressionofthemulti-dimensionalhbox{Kronecker}sequenceandageometricalcharacterizationofitsdistributionproperty.Wecanconsiderthelattertobeamulti-dimensionalanalogueofthe"three-distancetheorem."AlltheseresultswereobtainedbyusingtheacceleratedBrunalgorithm.

【 授权许可】

Unknown