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math.DS2018
Non-resonant tori in symplectic twist maps without conjugate points
Marc Arcostanzo
We study the dynamics of a symplectic twist map without conjugate points. We show that in a neighborhood of a totally periodic Lagrangian manifold, there exists a large family of i…
math.DS2016
The integrability of symplectic twist maps without conjugate points
Marc Arcostanzo
We prove that symplectic twist maps defined on the cotangent bundle of the d-dimensional torus that have no conjugate points are integrable, i.e. the cotangent bundle is cont…