HUN-REN Alfréd Rényi Institute of Mathematics

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19942026

most citedBrownian distance covariance

857 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2009 · math.MGShow all

4 papers · 2 filters

math.MG2009

Jarnik's convex lattice $n$ -gon for non-symmetric norms

Imre Barany, Nathanael Enriquez

What is the minimum perimeter of a convex lattice $n$ -gon? This question was answered by Jarnik in 1926. We solve the same question in the case when perimeter is measured by a (not…

math.MG2009★ 18 cited

Intrinsic volumes of inscribed random polytopes in smooth convex bodies

Imre Bárány, Ferenc Fodor, Viktor Vígh

Let $K$ be a $d$ dimensional convex body with a twice continuously differentiable boundary and everywhere positive Gauss-Kronecker curvature. Denote by $K_{n}$ the convex hull of $n$ …

math.MG2009★ 15 cited

The mean width of random polytopes circumscribed around a convex body

Károly J. Böröczky, Ferenc Fodor, Daniel Hug

Let K be a d-dimensional convex body, and let $K^{(n)}$ be the intersection of n halfspaces containing $K$ whose bounding hyperplanes are independent and identically distributed. U…

math.MG2009★ 1 cited

The mean width of circumscribed random polytopes

Károly J. Böröczky, Rolf Schneider

For a given convex body K in $R^{d}$ , a random polytope $K^{(n)}$ is defined (essentially) as the intersection of $n$ independent closed halfspaces containing $K$ and having an isotr…

Jarnik's convex lattice n-gon for non-symmetric norms

Intrinsic volumes of inscribed random polytopes in smooth convex bodies

The mean width of random polytopes circumscribed around a convex body

The mean width of circumscribed random polytopes

Jarnik's convex lattice $n$ -gon for non-symmetric norms