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A symplectic proof of a theorem of Franks
symplectic proof theorem of Franks Symplectic Geometry Dynamical Systems
2011/8/26
Abstract: A celebrated theorem in two-dimensional dynamics due to John Franks asserts that every area preserving homeomorphism of the sphere has either two or infinitely many periodic points. In this ...
Symplectic Fluctuations for Electromagnetic Excitations of Hall Droplets
Symplectic Fluctuations Electromagnetic Excitations Hall Droplets
2010/12/15
We show that the integer quantum Hall effect systems in plane, sphere or disc, can be formulated in terms of an algebraic unified scheme. This can be achieved by making use of a generalized Weyl–Heise...