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Quantum Variance and Ergodicity for the Baker's Map

Mirko Degli Esposti, S. Nonnenmacher, Brian Winn

Communications in Mathematical Physics · 2006 · 27 citations · 43 references

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References

43

Uniform distribution of eigenfunctions on compact hyperbolic surfaces

Steven Zelditch · Duke Mathematical Journal · 1987 · 579 citations

, , +3

Quantization of linear maps on a torus-fresnel diffraction by a periodic grating

J H Hannay, Michael Berry · Physica D Nonlinear Phenomena · 1980 · 412 citations

, , +14

The behaviour of eigenstates of arithmetic hyperbolic manifolds

Zeév Rudnick, Peter Sarnak · Communications in Mathematical Physics · 1994 · 386 citations

, , +10

Invariant measures and arithmetic quantum unique ergodicity

Elon Lindenstrauss · Annals of Mathematics · 2006 · 354 citations · Full text

, , +12

Ergodic properties of eigenfunctions for the Dirichlet problem

Patrick Gérard, Éric Leichtnam · Duke Mathematical Journal · 1993 · 281 citations

, , +12