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math.DS2018
KAM tori are no more than sticky
Bassam Fayad, David Sauzin
When a Gevrey smooth perturbation is applied to a quasi-convex integrable Hamiltonian, it is known that the KAM invariant tori that survive are sticky, that is, doubly exponentiall…
math.RA2018
The Baker-Campbell-Hausdorff formula via mould calculus
Shanzhong Sun, Yong Li, David Sauzin
The well-known Baker-Campbell-Hausdorff theorem in Lie theory says that the logarithm of a noncommutative product e X e Y can be expressed in terms of iterated commutators of X and…