2 citations · 2 across the 5 of their papers we have counts for
4 papers · 1 filter
Lipschitz sub-actions for locally maximal hyperbolic sets of a maps
Xifeng Su, Philippe Thieullen, Wenzhe Yu
Livšic theorem asserts that, for Anosov diffeomorphisms/flows, a Lipschitz observable is a coboundary if all its Birkhoff sums on every periodic orbits are equal to zero. The trans…
Essential forward weak KAM solution for the convex Hamilton-Jacobi equation
Xifeng Su, Jianlu Zhang
For a convex, coercive continuous Hamiltonian on a compact closed Riemannian manifold , we construct a unique forward weak KAM solution of \[ H(x, d_x u)=c(H) \] by a vanishing…
Discounted Gottschalk-Hedlund theorem
Xifeng Su, Philippe Thieullen
Ergodic optimization and discrete weak KAM theory are two parallel theories with several results in common. For instance, the Mather set is the locus of orbits which minimize the e…
On a remarkable example of F. Almgren and H. Federer in the global theory of minimizing geodesics
Xifeng Su, Rafael de la Llave
We present an exposition of a remarkable example attributed to Frederick Almgren Jr. in \cite[Section 5.11]{Federer74} to illustrate the need of certain definitions in the calculus…