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Nombres au hasard: de Borel à Martin-Loef Summary:By Claude Dellacherie This is an interesting paper on the meaning of randomness, written for the general mathematical public. From the vantage of modern probability theory, Dellacherie reviews briefly the successive conceptions of random sequences, beginning with Borel's idea of normal numbers, continuing with Von Mises' collectives and via recursive function theory and the halting problem to Martin-Loef and Kolmogorov complexity. The style is informal, and easy to read (if you read French) and the role of martingale theory is highlighted, which should be of particular interest to probabilists. Gazette des Math., Soc. Math. France, 11(1978) 2358. NEWER EBOOKSSponsored LinksNombres au hasard: de Borel à Martin-Loef Keywordstheory borel dellacherie math martin loef style easy informal complexity halting collectives recursive function kolmogorov martingale soc france 11 1978 gazette random sequences sequences beginning normal numbers numbers continuing successive conceptions reviews briefly mathematical public probability theory theory dellacherie dellacherie reviews |
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