Abstract
The transportation method for proving concentration of measure results works directly for the cube. Here we find the best constant that can be found using this method which turns out to be better than those obtained by previous methods and which cannot be far from that which is best possible.
Supported by EPSRC-97409672.
This work will form part of a Ph.D. thesis which is being supervised by Keith Ball.
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© 2000 Springer-Verlag
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Anttila, M. (2000). The transportation cost for the cube. In: Milman, V.D., Schechtman, G. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1745. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107202
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DOI: https://doi.org/10.1007/BFb0107202
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