Symbolical and Geometrical Characterizations of Kronecker Sequences by Using the Accelerated Brun Algorithm
[摘要] Wegiveahbox{vanderCorput}-typeexpressionofthemulti-dimensionalhbox{Kronecker}sequenceandageometricalcharacterizationofitsdistributionproperty.Wecanconsiderthelattertobeamulti-dimensionalanalogueofthe"three-distancetheorem."AlltheseresultswereobtainedbyusingtheacceleratedBrunalgorithm.
[发布日期] [发布机构]
[效力级别] [学科分类] 数学（综合）
[关键词] ergodic theory;irrational rotation;Kronecker sequence;low-discrepancy sequence;accelerated Brun algorithm;three-distance theorem [时效性]
