scientific article; zbMATH DE number 269615
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Publication:5288463
zbMath0777.58017MaRDI QIDQ5288463
Publication date: 18 August 1993
Full work available at URL: http://www.numdam.org/item?id=AIHPA_1993__58_3_323_0
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Geometry and quantization, symplectic methods (81S10) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Dynamical systems with hyperbolic behavior (37D99)
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Classical limit of the quantized hyperbolic toral automorphisms ⋮ Large supremum norms and small Shannon entropy for Hecke eigenfunctions of quantized cat maps ⋮ Quantization of a class of piecewise affine transformations on the torus ⋮ Equipartition of the eigenfunctions of quantized ergodic maps on the torus ⋮ Distribution of resonances for open quantum maps ⋮ Hecke eigenfunctions of quantized cat maps modulo prime powers ⋮ Large newforms of the quantized cat map revisited ⋮ On the uniqueness of invariant states ⋮ Unnamed Item ⋮ Multi-time correlations in quantized toral automorphisms ⋮ Torus as phase space: Weyl quantization, dequantization, and Wigner formalism ⋮ A canonical quantization of the baker's map ⋮ Hecke theory and equidistribution for the quantization of linear maps of the torus
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