S. Zelditch. Quantum ergodicity of C* dynamical systems. Comm. Math. Phys. 177 (1996), 507-528. Home/Search Document Details and Download
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Classical Limits Of Eigenfunctions For Some Completely.. - Jakobson, Zelditch (1997) Self-citation (Zelditch) (Correct)
....unique ergodicity has been established for Eisenstein series for arithmetic subgroups of SL 2 (R) by Luo, Sarnak and the first author ( L S] J2] To end our discussion of weak limits in the ergodic case we mention a converse result to Theorem 2. 4 proved by Sunada and the second author (cf. [Z1]) They prove that if (5) holds (together with another condition on the off diagonal terms (A i ; j ) for eigenfunctions of Delta on a compact manifold M then the geodesic flow on M is ergodic; the second condition holds for manifolds with ergodic geodesic flows. We conclude this section by ....
....slice the action to get the map Theta ae : S ( M ) S C with S C the unit length elements in C : CLASSICAL LIMITS OF EIGENFUNCTIONS 13 4.2. Algebras, states and classical limits. We now reformulate the questions raised in the introduction from a C algebraic point of view as in [Z1]. This begins with the fact that on any compact manifold M the C algebra Psi o (M ) of bounded pseudodifferential operators (in the norm topology) fits into the exact sequence 0 K Psi o C(S M ) 0 with K the compact operators. Since the linear functionals Phi j are states on ....
S. Zelditch, Quantum ergodicity of C* dynamical systems, Comm. Math. Phys. 177 (1996), 507--528.
Geometric Properties Of Eigenfunctions - Jakobson, Nadirashvili, Toth (Correct)
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S. Zelditch. Quantum ergodicity of C* dynamical systems. Comm. Math. Phys. 177 (1996), 507-528.
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