Representation formula for symmetrical symplectic capacity and applications
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Publication:2187868
DOI10.3934/dcds.2020199OpenAlexW3023516872MaRDI QIDQ2187868
Publication date: 3 June 2020
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.00678
representation formulaBrunn-Minkowski type inequalityMinkowski billiard trajectoriessymmetrical Ekeland-Hofer symplectic capacitysymmetrical Hofer-Zehnder symplectic capacity
Symplectic and contact topology in high or arbitrary dimension (57R17) Hamilton's equations (70H05) Global theory of symplectic and contact manifolds (53D35) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)
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Remarks on the systoles of symmetric convex hypersurfaces and symplectic capacities ⋮ Higher \(P\)-symmetric Ekeland-Hofer capacities ⋮ Coisotropic Ekeland–Hofer capacities ⋮ Coisotropic Hofer-Zehnder capacities of convex domains and related results ⋮ Remark on coisotropic Ekeland-Hofer-Zehnder capacity ⋮ Unnamed Item ⋮ Combinatorial formulas for some generalized Ekeland-Hofer-Zehnder capacities of convex polytopes
Cites Work
- Symmetrical symplectic capacity with applications
- From symplectic measurements to the Mahler conjecture
- The principle of symmetric criticality
- Functional analysis, Sobolev spaces and partial differential equations
- Symplectic topology and Hamiltonian dynamics
- A capacity representation theorem for some non-convex domains
- Shortest periodic billiard trajectories in convex bodies
- The space of linear anti-symplectic involutions is a homogenous space
- Coisotropic Hofer-Zehnder capacities and non-squeezing for relative embeddings
- Periodic billiard trajectories and Morse theory on loop spaces
- Lagrangian blow-ups, blow-downs, and applications to real packing
- Generalized Euler identity for subdifferentials of homogeneous functions and applications
- Bounds for Minkowski Billiard Trajectories in Convex Bodies
- Convex Analysis
- A Brunn-Minkowski Inequality for Symplectic Capacities of Convex Domains
- Optimization and nonsmooth analysis
- Shorter Notes: A Classical Variational Principle for Periodic Hamiltonian Trajectories
- Symplectic G-capacities and integrable systems
- Convex Analysis
- Prescribed minimal period problems for convex Hamiltonian systems via Hofer-Zehnder symplectic capacity
- Stability for some extremal properties of the simplex
- Generalizations of Ekeland-Hofer and Hofer-Zehnder symplectic capacities and applications
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