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13

DM
2011

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Coding discretizations of continuous functions

12 years 11 months ago

Coding discretizations of continuous functions

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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.

Cristobal Rojas, Serge Troubetzkoy

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Continuous Function | DM 2011 | Education | Typical Continuous Function | ﬁnite Word |

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Added	14 May 2011
Updated	14 May 2011
Type	Journal
Year	2011
Where	DM
Authors	Cristobal Rojas, Serge Troubetzkoy

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