The Borel measure of sequences with bounded run-length  

作　　者：Alisa DeStefano Clyde Martin 

机构地区：[1]Department of Mathematics and Computer Science,College of the Holy Cross,1 College St,Worcester,MA,01610,USA [2]Department of Mathematics and Statistics,Texas Tech University,1108 Memorial Circle,Lubbock,TX,79409,USA

出　　处：《Control Theory and Technology》2022年第3期316-322,共7页控制理论与技术（英文版）

摘　　要：Infinite sequences defined with a finite alphabet are studied and it is shown that the set of sequences with bounded run-length has measure zero with respect to the Borel measure.Such sequences arise in many applications including digitization of certain linear systems involving flows on the circle and 2-torus,large scale simulation,and cryptology.They are basic objects of study in ergodic theory.

关 键 词：DIGITIZATION Borel measure Binary sequences Bounded run-length Irrational flow TORUS 

分 类 号：O17[理学—数学]