Profil isopérimétrique, métriques périodiques et formes d'équilibre des cristaux

DOI10.1051/cocv:1999100zbMath0939.53022OpenAlexW2151660489MaRDI QIDQ4937719

Pierre Pansu

Publication date: 17 February 2000

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/90559

zbMATH Keywords

isoperimetric inequalitystable normcrystallographyWulff shape

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Global Riemannian geometry, including pinching (53C20)

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Cites Work

• Action minimizing invariant measures for positive definite Lagrangian systems
• The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• On the microscopic validity of the Wulff construction and of the generalized Young equation
• On the asymptotic isoperimetric constant of tori
• Periodic sphere packings and the Wulff-shape
• On asymptotic volume of tori
• Volume rigidity of two-dimensional manifolds
• CLOSED GEODESICS, ASYMPTOTIC VOLUME, AND CHARACTERISTICS OF GROUP GROWTH
• Remark about heat diffusion on periodic spaces
• Lattice packing of spheres and the Wulff‐Shape
• Croissance des boules et des géodésiques fermées dans les nilvariétés
• On the Volume Elements on a Manifold
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