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2003-2004 First return limiting notions in real analysis.
Michael J. Evans, Richard J. O'Malley
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Real Anal. Exchange 29(2): 503-530 (2003-2004).


During the past decade several authors have explored some ramifications of borrowing the ``first-return'' notion from the study of the dynamics of chaotic maps on an interval and applying the concept to the core areas of real analysis: approximation, continuity, differentiation, and integration. This survey attempts to summarize the results obtained and to point toward possible future directions for exploration.


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Michael J. Evans. Richard J. O'Malley. "First return limiting notions in real analysis.." Real Anal. Exchange 29 (2) 503 - 530, 2003-2004.


Published: 2003-2004
First available in Project Euclid: 7 June 2006

zbMATH: 1067.26004
MathSciNet: MR2083794

Primary: 26A21 , 26A24

Keywords: approachability recoverability , Baire one , continuity , first-return

Rights: Copyright © 2003 Michigan State University Press

Vol.29 • No. 2 • 2003-2004
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