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math.DS2016
Generically Mane set supports uniquely ergodic measure for residual cohomology class
Jianlu Zhang
In this paper, we proved that for generic Tonelli Lagrangian, there always exists a residual set such that \[ \widetilde{\mathcal{M}}(c)=\wid…
math.DS2016
Suspension of the Billiard maps in the Lazutkin's coordinate
Jianlu Zhang
In this paper we proved that under the Lazutkin's coordinate, the billiard map can be interpolated by a time-1 flow of a Hamiltonian which can be formally expressed by \…