Prevalence

Ott, William; Yorke, James

doi:10.1090/S0273-0979-05-01060-8

Prevalence
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by William Ott and James A. Yorke PDF

Bull. Amer. Math. Soc. 42 (2005), 263-290 Request permission

Abstract:

Many problems in mathematics and science require the use of infinite-dimensional spaces. Consequently, there is need for an analogue of the finite-dimensional notions of ‘Lebesgue almost every’ and ‘Lebesgue measure zero’ in the infinite-dimensional setting. The theory of prevalence addresses this need and provides a powerful framework for describing generic behavior in a probabilistic way. We survey the theory and applications of prevalence.

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