Matching Theorems and Empirical Discrepancy Computations Using Majorizing Measures

نویسنده

  • M. TALAGRAND
چکیده

We give explicit constructions of certain majorizing measures.These constructions allow us to give a unified proof of deep matching theo-rems of Ajtai, Komlbs, and Tusnady, of Leighton and Shor, and of Shor, aswell as of more precise and more general results in a similar spirit. EQUJPE O'ANALYSE, TOUR 46, U.A. No754 AU C.N.R.S., UNIVERSITE PARIS VI, 75230 PARISCEOEX 05, FRANCEE-mail address: mi Ulfrunip62 . bitnet DEPARTMENT OF MATHEMATICS, THE OHIO STATE UNIVERSITY, 231 WEST 18TH AVENUE,COLUMBUS, OHIO 43210 License or copyright restrictions may apply to redistribution; see http://www.ams.org/journal-terms-of-use

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تاریخ انتشار 2009