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
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
Journal title :
Discrete Mathematics
