9 citations · 51 across the 17 of their papers we have counts for
4 papers · 1 filter
Hofer-Zehnder capacity and a Hamiltonian circle action with noncontractible orbits
Kei Irie
Let be an aspherical symplectic manifold, which is closed or convex. Let be an open set in , which admits a circle action generated by an autonomous Hamiltonian $H \…
Hofer-Zehnder capacity of unit disk cotangent bundles and the loop product
Kei Irie
We prove the finiteness of the Hofer-Zehnder capacity of unit disk cotangent bundles of closed Riemannian manifolds, under some simple topological assumptions on the manifolds. The…
VC dimension of ellipsoids
Yohji Akama, Kei Irie
We will establish that the VC dimension of the class of d-dimensional ellipsoids is (d^2+3d)/2, and that maximum likelihood estimate with N-component d-dimensional Gaussian mixture…
Displacement energy of unit disk cotangent bundles
Kei Irie
We give an upper bound of a Hamiltonian displacement energy of a unit disk cotangent bundle in a cotangent bundle , when the base manifold is an open Riemannian ma…