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math.SG2010★ 7 cited
Symplectic capacity and short periodic billiard trajectory
Kei Irie
We prove that a bounded domain in with smooth boundary has a periodic billiard trajectory with at most bounce times and of length less than , where …
math.SG2010
Handle attaching in wrapped Floer homology and brake orbits in classical Hamiltonian systems
Kei Irie
The objective of this note is to prove an existence result for brake orbits in classical Hamiltonian systems (which was first proved by S.V.Bolotin) by using Floer theory. To this…