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.References
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Additional Information
- William Ott
- Affiliation: Courant Institute of Mathematical Sciences, New York, New York 10012
- Email: ott@cims.nyu.edu
- James A. Yorke
- Affiliation: Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742
- Email: yorke@ipst.umd.edu
- Received by editor(s): August 11, 2004
- Published electronically: March 30, 2005
- Additional Notes: This work is based on an invited talk given by the authors in January 2004 at the annual meeting of the AMS in Phoenix, AZ
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - 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
- MathSciNet review: 2149086