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On the Lyapounov exponents of Schrodinger operators associated with the standard map
Lyapounov exponents Schrodinger operators associated standard map
2012/3/1
It is shown that Schrodinger operators defined from the standard map have positive (mean) Lyapounov exponents for almost all energies.
We introduce a generalized Ulam method and apply it to symplectic dynamical maps with a divided phase space. Our extensive numerical studies based on the Arnoldi method show that the Ulam approximant ...