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math-ph2001
Value distribution for eigenfunctions of desymmetrized quantum maps
Par Kurlberg, Zeev Rudnick
We study the value distribution and extreme values of eigenfunctions for the ``quantized cat map''. This is the quantization of a hyperbolic linear map of the torus. In a previous…
math-ph1999
Quantum unique ergodicity for parabolic maps
Jens Marklof, Zeev Rudnick
We study the ergodic properties of quantized ergodic maps of the torus. It is known that these satisfy quantum ergodicity: For almost all eigenstates, the expectation values of qua…