The Borel measure of sequences with bounded run-length
Alisa DeStefano1
Clyde Martin2
1.Department of Mathematics and Computer Science,College of the Holy Cross,1 College St,Worcester,MA 01610,USA2.Department of Mathematics and Statistics,Texas Tech University,1108 Memorial Circle,Lubbock,TX 79409,USA
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.
机标关键词：withborelboundedmeasurerun-lengthsequences
论文发表日期：2022-08-05
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：7( 316-322 )
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