Action minimizing properties and distances on the group of Hamiltonian diffeomorphisms

DOI10.2140/gt.2010.14.2383zbMath1207.37043arXiv1002.3915OpenAlexW3103881536WikidataQ104144461 ScholiaQ104144461MaRDI QIDQ611911

Claude Viterbo, Alfonso Sorrentino

Publication date: 15 December 2010

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3915

zbMATH Keywords

Mather theoryMather's beta functionHofer distanceaction-minimizing measureAubrey-Mather theoryMather's minimal average actionsymplectic homogenizationViterbo distance

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35)

Related Items (8)

Remarks on the symplectic invariance of Aubry-Mather sets ⋮ On the regularity of Mather's \(\beta\)-function for standard-like twist maps ⋮ Symplectic and contact properties of the Mañé critical value of the universal cover ⋮ Mather measures associated with a class of Bloch wave functions ⋮ Mather theory and symplectic rigidity ⋮ Symplectic homogenization ⋮ Inverse problems and rigidity questions in billiard dynamics ⋮ Computing Mather's \(\beta\)-function for Birkhoff billiards

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