Prevalence

Ott, William; Yorke, James

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

Prevalence

Authors: William Ott and James A. Yorke
Journal: Bull. Amer. Math. Soc. 42 (2005), 263-290
MSC (2000): Primary :, 28C10, 28C15, 28C20; Secondary :, 37C20, 37C45
DOI: https://doi.org/10.1090/S0273-0979-05-01060-8
Published electronically: March 30, 2005
MathSciNet review: 2149086
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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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