2 papers
math.DS2017
On the tangent cones of Aubry sets
Ke Zhang
We show that the paratingent cone of the Aubry set of the Tonelli Hamiltonian is contained in a cone bounded by the Green bundles. Our result improves the earlier result of M.-C. A…
math.AC2016
Finite lattices and Koszul Filtrations
Dancheng Lu, Ke Zhang
We characterize when a finite lattice is distributive by the existences of some particular classes of Koszul filtrations.