In mathematics, the isoperimetric inequality is a geometric inequality involving the surface area of a set and its volume. In -dimensional space theâ€¦Â (More)

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Highly Cited

2009

Highly Cited

2009

- By N. Fusco, F. Maggi, Aldo Pratelli
- 2009

A quantitative sharp form of the classical isoperimetric inequality is proved, thus giving a positive answer to a conjecture byâ€¦Â (More)

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Highly Cited

2007

Highly Cited

2007

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.orgâ€¦Â (More)

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Review

2007

Review

2007

- BY ROBERT OSSERMAN
- 2007

where A is the area enclosed by a curve C of length L, and where equality holds if and only if C is a circle. The purpose of thisâ€¦Â (More)

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2007

2007

- Daniel Allcock
- 2007

We show that the Heisenberg groups H 2n+1 of dimension ve and higher, considered as Rieman-nian manifolds, satisfy a quadraticâ€¦Â (More)

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2004

2004

A purely analytic proof is given for an inequality that has as a direct consequence the two most important affine isoperimetricâ€¦Â (More)

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Highly Cited

2000

Highly Cited

2000

Affine isoperimetric inequalities compare functionals, associated with convex (or more general) bodies, whose ratios areâ€¦Â (More)

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Highly Cited

1995

Highly Cited

1995

- Ravi Kannan, LÃ¡szlÃ³ LovÃ¡sz, MiklÃ³s Simonovits
- Discrete & Computational Geometry
- 1995

We study the smallest number qJ(K) such that a given convex body K in R n can be cut into two parts K 1 and K 2 by a surface withâ€¦Â (More)

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1991

1991

- Keith Ball
- 1991

It is shown that if C is an n-dimensional convex body then there is an affine image C of C for which |âˆ‚ C| | C| nâˆ’1 n is noâ€¦Â (More)

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Highly Cited

1990

Highly Cited

1990

- LÃ¡szlÃ³ LovÃ¡sz, MiklÃ³s Simonovits
- FOCS
- 1990

Sinclair and Jerrum derived a bound on the mixing rate of time-reversible Markov chains in terms of their conductance. Weâ€¦Â (More)

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Highly Cited

1989

Highly Cited

1989

- Bojan Mohar
- J. Comb. Theory, Ser. B
- 1989

For Xs V(G), let 8X denote the set of edges of the graph G having one end in X and the other end in V(G)\X. The quantity i(Gâ€¦Â (More)

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