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Bourgain's Entropy Estimates Revisited

2006/11/20 by John T. Workman, Workman, John T.
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Mathematical Approximation and Integration #Mathematical Dynamics and Fractals #math.CA #math.PR #msc:28D20

paper · pdf · doi:10.48550/arxiv.math/0611621

28 pages, no figures; added more references in version 2

arxiv created 2007/01/25 · arxiv updated 2009/12/01

Abstract

The following is a near complete set of notes of Bourgain's 1988 paper "Almost Sure Convergence and Bounded Entropy." Both entropy results are treated, as is one application. The proofs here are essentially those of Bourgain's.

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