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Abstract: According to one of the basic conjectures in Quantum Chaos, the eigenvalues of a quantized chaotic Hamiltonian behave like the spectrum of the typical member of the appropriate ensemble of random matrices. We study one of the simplest examples of this phenomenon in the context of ergodic actions of groups generated by several linear toral automorphisms { \cat maps". Our numerical experiments indicate that for \generic" choices of cat maps, the unfolded consecutive spacings distribution... (Update)
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9.9: Eigenvalue Spacings for Quantized Cat Maps - Gamburd, Lafferty, Rockmore (Correct)
0.9: Spectra Of Elements In The Group Ring Of SU(2) - Gamburd, Jakobson, Sarnak (1999) (Correct)
0.7: Level Spacings For Cayley Graphs - Lafferty, Rockmore (Correct)
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BibTeX entry: (Update)
@misc{ john-eigenvalue,
author = "Alex Gamburd John",
title = "Eigenvalue Spacings For Quantized Cat Maps",
url = "citeseer.ist.psu.edu/752285.html" }
Citations (may not include all citations):439 An introduction to the theory of numbers (context) - Hardy, Wright - 1979
411 Random graphs (context) - ela, as - 1985
148 Ramanujan Graphs (context) - Lubotzky, Phillips et al. - 1988
140 Random matrices (context) - Mehta - 1991
63 Ergodic Problems of Classical Mechanics (context) - Arnold, Avez - 1968
36 Some Applications of Modular Forms (context) - Sarnak - 1990
31 Symmetric random walks on groups (context) - Kesten - 1959
29 The Selberg trace formula for PSL (context) - Hejhal
24 Arithmetic Quantum Chaos (context) - Sarnak - 1995
16 Characterization of chaotic quantum spectra and universality.. (context) - Bohigas, Giannoni et al. - 1984
13 Classical limit of the quantized hyperbolic toral automorphi.. - Espositi, Gra et al. - 1995
12 The cat map: quantum mechanics and classical motion (context) - Keating - 1991
10 Quantization of the orientation preserving automorphism of a.. (context) - Esposti - 1993
10 Arithmetical chaos and violation of universality in energy l.. (context) - Bolte, Steil et al. - 1992
9 Numerical investigation of the spectrum for certain families.. - La, Rockmore - 1993
8 strong ergodicity and invariant means for ergodic group-acti.. (context) - Schmidt, Kazhdan's - 1981
8 Number variance for arithmetic hyperbolic surfaces (context) - Luo, Sarnak - 1994
6 Rudnick Hecke theory and equidistribution for the quantizati.. (context) - Kurlberg - 2000
6 Chaotic billiards generated by arithmetic groups Phys (context) - Bogomolny, Georgeot et al. - 1992
6 The behavior of general theta functions under the modular gr.. (context) - Kloosterman - 1946
5 Expanding graphs and invariant means (context) - Shalom - 1997
4 Eigenvalue spacings for regular graphs - Jacobson, Miller et al. - 1999
4 Mezzadri Pseudo-symmetries of Anosov maps and spectral stati.. (context) - Keating - 2000
4 Spectra of elements in the group ring of SU - Gamburd, Jakobson et al. - 1999
3 Uniform distribution of points on a sphere and some ergodic .. (context) - Arnold, Krylov - 1962
3 Quantization of Anosov Maps (context) - de Matos, de Almeida - 1995
3 Soc London (context) - Berry, Proc - 1977
3 Quantization of linear maps on a torus { Fresnel di raction .. (context) - Hannay, Berry - 1980
3 Repartition asymptotique des valeurs propres de l'operateur .. (context) - Serre - 1997
3 Mezzadri Quantum Cat Maps with spin (context) - Keppeler, Marklof - 2001
2 Valette Elementary Number Theory (context) - Davido, Sarnak
2 Observations sur la mecanique quantique nie (context) - Balian, Itzykson - 1986
2 Spectral gap for in nite index \congruence (context) - Gamburd - 2002
2 Groups and Expanders (context) - Lubotzky, Weiss - 1993
2 Level spacings for Cayley graphs (context) - La, Rockmore - 1999
2 Lecture Note Ser (context) - Lubotzky, graphs et al. - 1995
2 Fast Fourier analysis for SL2 over a nite eld and related nu.. (context) - La, Rockmore - 1992
2 Robbins Quantum boundary conditions for torus maps (context) - Keating, Mezzadri - 1999
2 the quantum cat and sawtooth maps { Return to generic behavi.. (context) - Lakshminarayan, Balazs - 1995
2 Quantization of a class of piecewise ane transformations on .. (context) - evre, Degli et al. - 1996
2 Statistical properties of eigenvalues of the Hecke operators (context) - Sarnak
Documents on the same site (http://www.cs.cmu.edu/~lafferty/publications.html): More
Spectral Techniques for Expander Codes - Lafferty, Rockmore (1997) (Correct)
Level Spacings For Cayley Graphs - Lafferty, Rockmore (Correct)
Spectral Techniques for Expander Codes and Generalized Cyclic .. - Lafferty, Rockmore (1997) (Correct)
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