Application of fragmentation norms to transported points by Hamiltonian isotopies

Morimichi Kawasaki, Ryuma Orita
RIMS Kôkyûroku, vol. 2098 (2018), pp. 57–59
Journal Page

Abstract

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We prove that a certain $C^0$-robust condition of a Hamiltonian function $H$ induces the existence of a point transported $\varepsilon$ out of the original point by the Hamiltonian diffeomorphism $\varphi_H$. Related to our observation, we provide a problem on Hamiltonian pseudo-rotations.

@article{kawasaki2018application,
  author  = {Kawasaki, Morimichi and Orita, Ryuma},
  title   = {{Application of fragmentation norms to transported points by Hamiltonian isotopies}},
  journal = {RIMS Kôkyûroku},
  volume  = {2098},
  pages   = {57--59},
  year    = {2018},
  url     = {http://www.kurims.kyoto-u.ac.jp/~kyodo/kokyuroku/contents/2098.html}
}