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Lyapunov spectrum for exceptional rational maps
Lyapunov spectrum exceptional rational maps
2011/1/21
We study the dimension spectrum for Lyapunov exponents for rational maps acting on the Riemann sphere and characterize it by means of the Legendre-Fenchel transform of the hidden variational pres-sure...
Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
division algebra Clifford algebra Grassmann algebra Hopf map non-Abelian
2010/12/15
This paper is a review of monopoles, lowest Landau level, fuzzy spheres, and
their mutual relations. The Hopf maps of division algebras provide a prototype relation
between monopoles and fuzzy spher...