# Brunn–Minkowski theorem

## Papers overview

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Highly Cited

2014

Highly Cited

2014

- 2014

The Brunn Minkowski theory is the heart of quantitative convexity. It had its origins in Minkowski's joining his notion of mixed… (More)

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2014

2014

- 2014

The Brunn-Miknowski inequality gives a lower bound on the Lebesgue measure of a sumset in terms of the measures of the individual… (More)

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2013

2013

- 2013

For origin-symmetric convex bodies (i.e., the unit balls of finite dimensional Banach spaces) it is conjectured that there exist… (More)

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2009

2009

- 2009

Starting from a mass transportation proof of the Brunn-Minkowski inequality on convex sets, we improve the inequality showing a… (More)

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2008

2008

- 2008

A detailed investigation is undertaken into Brunn-Minkowski-type inequalities for Gauss measure. A Gaussian dual Brunn-Minkowski… (More)

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Highly Cited

2008

Highly Cited

2008

- IEEE Transactions on Signal Processing
- 2008

The concept of a miss-distance, or error, between a reference quantity and its estimated/controlled value, plays a fundamental… (More)

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2006

2006

- 2006

The Brunn–Minkowski inequality gives a lower bound of the Lebesgue measure of a sum-set in terms of the measures of the… (More)

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2006

2006

- 2006

Suppose two bounded subsets of R are given. Parametrise the Minkowski combination of these sets by t. The Classical Brunn… (More)

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2005

2005

- 2005

Theorem 7.1 (Brunn-Minkowski). If A, B ⊆ R n satisfy some mild assumptions (in particular, convexity suffices), then [vol (A + B… (More)

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Review

2001

Review

2001

- 2001

In 1978, Osserman [124] wrote a rather comprehensive survey on the isoperimetric inequality. The Brunn-Minkowski inequality can… (More)

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