4 citations · 14 across the 18 of their papers we have counts for
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math.DS2009
On invariant sets in Lagrangian graphs
Xiaojun Cui, Lei Zhao
In this exposition, we show that a Hamiltonian is always constant on a compact invariant connected subset which lies in a Lagrangian graph provided that the Hamiltonian and the gra…
math.DS2009★ 1 cited
On commuting Tonelli Hamiltonians: Autonomous case
Xiaojun Cui, Ji Li
We show that the Aubry sets, the Mañé sets, Mather's barrier functions are the same for two commuting autonomous Tonelli Hamiltonians. We also show the quasi-linearity of -funct…