Regularity of conjugacies between critical circle maps: an experimental study.
A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: announcement of results.
A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations
Relativistic stability of matter (I).
In this article, we study the quantum mechanics of N electrons and M nuclei interacting by Coulomb forces. Motivated by an important idea of Chandrasekhar and following Herbst [H], we modify the usual kinetic energy -∆ to take into account an effect from special relativity. As a result, the system can implode for unfavorable values of the nuclear charge Z and the fine structure constant α. This is analogous to the gravitational collapse of a heavy star. Our goal here is to find those values of α...
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