On the Kolmogorov complexity of continuous real functions

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On the Kolmogorov complexity of continuous real functions

Kolmogorov complexity was originally defined for finitely-representable objects. Later, the definition was extended to real numbers based on the asymptotic behaviour of the sequence of the Kolmogorov complexities of the finitely-representable objects-such as rational numbers-used to approximate them...

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Bibliographic Details
Main Author:	Farjudian, Amin
Format:	Article
Language:	English
Published:	Elsevier 2013
Subjects:	Kolmogorov complexity; Algorithmic randomness; Computable analysis; Domain theory; Measure theory; Prevalence
Online Access:	https://eprints.nottingham.ac.uk/56380/

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