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

Author:

Shi Kun,Lu GuangcunORCID

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Reference16 articles.

1. Artstein-Avidan, A., Ostrover, Y.: Bounds for Minkowski billiard trajectories in convex bodies. Int. Math. Res. Not. 1, 165–193 (2012)

2. Akopyan, A., Karasev, R., Petrov, F.: Bangs problem and symplectic invariants. J. Symplectic Geom. 17(6), 1579–1611 (2019)

3. Clarke, F.H.: On Hamiltonian flows and symplectic transformations. SIAM J. Control Optim. 20(3), 355–359 (1982)

4. Clarke, F.H.: Optimization and nonsmooth analysis. In: Canadian Mathematical Society Series of Monographs and Advanced Texts. A Wiley-Interscience Publication. John Wiley and Sons Inc., New York (1983)

5. Ekeland, I.: Convexity methods in Hamiltonian mechanics, Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)], 19. Springer-Verlag, Berlin (1990)

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1. New Estimations for Coisotropic Ekeland–Hofer–Zehnder Capacity;The Journal of Geometric Analysis;2024-05-12

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3. Coisotropic Hofer–Zehnder capacities of convex domains and related results;Journal of Fixed Point Theory and Applications;2023-04-26

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