Title of article
Coding discretizations of continuous functions
Author/Authors
Rojas، نويسنده , , Cristobal and Troubetzkoy، نويسنده , , Serge، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
8
From page
620
To page
627
Abstract
We consider several coding discretizations of continuous functions which reflect their variation at some given precision. We study certain statistical and combinatorial properties of the sequence of finite words obtained by coding a typical continuous function when the diameter of the discretization tends to zero. Our main result is that any finite word appears on a subsequence discretization with any desired limit frequency.
Keywords
Limit frequencies , Discretizations of continuous functions
Journal title
Discrete Mathematics
Serial Year
2011
Journal title
Discrete Mathematics
Record number
1598385
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