ISSN:
1572-9168
Keywords:
52A20
;
46B07
;
52A21
;
Convex geometry
;
Steiner/Schwarz symmetrizations
;
random Minkowski symmetrization
;
Euclidean ball
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We establish some new quantitative results on Steiner/Schwarz-type symmetrizations, continuing the line of results from [Bourgain et al. (Lecture Notes in Math. 1376 (1988), 44–66)] on Steiner symmetrizations. We show that if we symmetrize high-dimensional sections of convex bodies, then very few steps are required to bring such a body close to a Euclidean ball.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00160622
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