Combinatorial formulas for some generalized Ekeland-Hofer-Zehnder capacities of convex polytopes

DOI10.1007/s11784-021-00903-yOpenAlexW3205073525WikidataQ113899870 ScholiaQ113899870MaRDI QIDQ2051919

Kun Shi, Guang-Cun Lu

Publication date: 25 November 2021

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09566

zbMATH Keywords

convex polytopessymplectic capacitiescombinatorial formulasgeneralized Ekeland-Hofer-Zehnder capacities

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Symplectic manifolds (general theory) (53D05) Global theory of symplectic and contact manifolds (53D35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (2)

Coisotropic Hofer-Zehnder capacities of convex domains and related results ⋮ Remark on coisotropic Ekeland-Hofer-Zehnder capacity

Cites Work

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• Symmetrical symplectic capacity with applications
• Symplectic topology and Hamiltonian dynamics
• Representation formula for symmetrical symplectic capacity and applications
• Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings
• Bang's problem and symplectic invariants
• Bounds for Minkowski Billiard Trajectories in Convex Bodies
• Hamilton-Jacobi on the symplectic group
• Optimization and nonsmooth analysis
• On Hamiltonian Flows and Symplectic Transformations

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