Large Supremum Norms and Small Shannon Entropy for Hecke Eigenfunctions of Quantized Cat Maps-Reference-Cited by-同舟云学术

Large Supremum Norms and Small Shannon Entropy for Hecke Eigenfunctions of Quantized Cat Maps

Published:2008-09-23 Issue:3 Volume:286 Page:1051-1072
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Olofsson Rikard

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-008-0627-x.pdf

Reference21 articles.

1. Anantharaman, N., Koch, H., Nonnenmacher, S.: Entropy of eigenfunctions. http://hal.archives-ouvertes.fr/hal-00141310/en , 2007

2. Anantharaman N., Nonnenmacher S.: Entropy of semiclassical measures of the Walsh-quantized baker’s map. Ann. H. Poincaré 8, 37–74 (2007)

3. Bouzouina A., De Bièvre S.: Equipartition of the eigenfunctions of quantized ergodic maps on the torus. Commun. Math. Phys. 178(1), 83–105 (1996)

4. Degli Esposti M.D.: Quantization of the orientation preserving automorphisms of the torus. Ann. Inst. H. Poincaré Phys. Théor. 58(3), 323–341 (1993)

5. Degli Esposti M., Graffi S., Isola S.: Classical limit of the quantized hyperbolic toral automorphisms. Commun. Math. Phys. 167(3), 471–507 (1995)

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