Publications

Publications:

The papers listed below are made available as a scientific resource for the private use of individual scholars. None of the material may be used commercially, or for financial gain. Some of it is protected by copyright. Requests for permission to make public use of any of the papers, or material therein, should be sought from the original publisher. It is the responsibility of anyone making use of this material to ensure that they are not breaking copyright.

1. J.P. Keating & M.V. Berry (1987), False singularities in partial sums over closed orbits, J. Phys. A 20 Ll139–1141. pdf

2. M.V. Berry & J.P. Keating (1990), A rule for quantizing chaos?, J. Phys. A 23, 4839-4849. pdf

3. J.P. Keating (1990), Semiclassical properties of the cat maps, in Number Theory and Physics, ed. J.-M. Luck, P.Moussa & M. Waldschmidt, Springer Proceedings in Physics 47, 302–310. pdf

4. J.P. Keating (1990), Physics and the queen of mathematics, Physics World, April issue, 46-50. pdf

5. J.P. Keating (1991), The semiclassical sum rule and Riemann's zeta function, in Quantum Chaos, eds. H Cerdeira, R. Ramaswamy, M.C. Gutzwiller & G. Casati (World Scientific), 280-294. pdf

6. J.P. Keating (1991), Asymptotic properties of the periodic orbits of the cat maps, Nonlinearity 4, 277-307. pdf

7. J.P Keating (1991), The cat maps: quantum mechanics and classical motion, Nonlinearity 4, 309-341. pdf

8. J.P. Keating (1992), Periodic orbit resummation and the quantization of chaos, Proc. R. Soc. Lond. A 436, 99-108. pdf

9. M.V Berry & J.P. Keating (1992), A new asymptotic representation for z(1/2+it) and quantum spectral determinants, Proc. R. Soc. Lond. A 437, 151-173. pdf

10. J.P. Keating (1992), The semiclassical functional equation, Chaos 2, 15-19. pdf

11. N. Argaman, F.M. Dittes, E. Doron, J.P. Keating, A. Kitaev, M. Sieber & U. Smilansky (1993), Correlations in the actions of periodic orbits derived from quantum chaos, Phys. Rev. Lett. 71, 4326-4329. pdf

12. J.P. Keating (1993), The quantum mechanics of chaotic systems – or – can one hear the chaology of a drum?, Chapter 12 of The Nature of Chaos, ed. T. Mullin (Oxford University Press), 282-310. pdf

13. J.P. Keating (1993), Quantum chaology and the Riemann zeta-function, in Quantum Chaos, eds. G. Casati, I. Guarneri & U. Smilansky, (North-Holland, Amsterdam), 145-185. pdf

14. M.V. Berry & J.P. Keating (1994), Persistant current flux correlations calculated by quantum chaology, J. Phys. A 27, 6167-6176. pdf

15. S.D. Prado, M.A.M. de Aguiar, J.P. Keating & R. Egydio de Carvalho (1994), Semiclassical theory of magnetisation for a two-dimensional non-interacting electron gas, J. Phys. A 27, 6091-6106. pdf

16. J.H. Hannay, J.P. Keating & A.M. Ozorio de Almeida (1994), Optical realization of the baker's transformation, Nonlinearity 7, 1327-1342. pdf

17. J.P. Keating (1994), Long-time divergence of semiclassical form-factors, J. Phys. A 27, 6605-6615. pdf

18. J.P. Keating & M. Sieber (1994), Calculation of spectral determinants, Proc. R. Soc. Lond. A 447, 413-437. pdf

19. P.A. Boasman & J.P. Keating (1995), Semiclassical asymptotics of perturbed cat maps, Proc. R. Soc. Lond. A 449, 629-653. pdf

20. E.B Bogomolny & J.P. Keating (1995), Random matrix theory and the Riemann zeros I: three- and four-point correlations, Nonlinearity 8, 1115-1131. pdf

21. B. Eckhardt, S. Fishman, J.P. Keating, 0. Agam, J. Main & K. Muller (1995), Approach to ergodicity in quantum wave functions, Phys. Rev. E 52, 5893-5903. pdf

22. E.B. Bogomolny & J.P. Keating (1996), Random matrix theory and the Riemann zeros II: n-point correlations, Nonlinearity 9, 911-935. pdf

23. E.B. Bogomolny & J.P. Keating (1996), Gutzwiller's trace formula and spectral statistics: Beyond the diagonal approximation, Phys. Rev. Lett. 77, 1472-1475. pdf

24. R.D. Connors & J.P. Keating (1997), Two-point spectral correlations for the square billiard, J. Phys. A 30, 1817-1830. pdf

25. J.P. Keating & J.M. Robbins (1997), Discrete symmetries and spectral statistics, J Phys. A 30, L177-L181. pdf

26. J.P. Keating (1997), Resummation and the turning points of zeta functions, in Classical, semiclassical and quantum chaos in atomic physics, eds. B. Eckhardt & H. Friedich, (Springer: Berlin), pp 83-93. pdf

27. M.V. Berry, J.P.Keating & S.D Prado (1998), Orbit bifurcations and spectral statistics, J. Phys. A 31, L245-L254. pdf

28. S. Fishman & J.P. Keating (1998), The diagonal approximation for non-time-reversal-symmetric systems, J. Phys. A 31, L313-L319. pdf

29. T.O. de Carvalho, J.P.Keating & J.M. Robbins (1998), Fluctuations in quantum expectation values for chaotic systems with broken time-reversal symmetry, J. Phys. A 31, 5631-5640. pdf

30 R.D. Connors & J.P. Keating (1999), Degeneracy moments for the square billiard, J. Phys. A 32, 555-562. pdf

31. J.P. Keating, F. Mezzadri & J.M. Robbins (1999), Quantum boundary conditions for torus maps, Nonlinearity 12, 579-591. pdf

32. M.V. Berry & J.P. Keating (1999), The Riemann zeros and eigenvalue asymptotics, SIAM Review 41, 236-266. pdf

33. G. Berkolaiko & J.P. Keating (1999), Two-point spectral correlations for star graphs, J. Phys. A 32, 7827- 7841. pdf

34. I.V. Lerner, J.P. Keating & D.E. Khmelnitskii (1999) (editors), Supersymmetry and Trace Formulae: Chaos and Disorder (Plenum Press).

35. J.P. Keating (1999), Periodic Orbits, Spectral Statistics, and the Riemann zeros, in Supersymmetry and Trace Formulae: Chaos and Disorder, eds. I.V. Lerner, J.P. Keating & D.E Khmelnitskii (Plenum Press), 1-15. pdf

36. M.V. Berry & J.P. Keating (1999), H=xp and the Riemann zeros, in Supersymmetry and Trace Formulae: Chaos and Disorder, eds. I.V. Lerner, J.P.Keating & D.E. Khmelnitskii (Plenum Press), 355-367. pdf

37 J.P. Keating & J.B Reade (2000), Summability of gap series, Proc. Edin. Math. Soc. 43, 95-101. pdf

38. J.P. Keating and F. Mezzadri (2000), Torus maps, symmetries and spectral statistics, Proceedings of the International School of Physics “Enrico Fermi”, New Directions in Quantum Chaos, Varenna, Italy, edited by G. Casati, I. Guarneri & U. Smilansky, 449-472. pdf

39. J.P. Keating & F. Mezzadri (2000), Pseudo-symmetries of Anosov maps and spectral statistics, Nonlinearity 13, 747-775. pdf

40. J.P. Keating & N.C. Snaith (2000), Random matrix theory and z(1/2+it), Commun. Math. Phys. 214, 57-89. pdf

41. J.P. Keating & N.C. Snaith (2000), Random matrix theory and L-functions at s=1/2, Commun. Math. Phys. 214, 91-110. pdf

42. M.V. Berry, J.P. Keating & H. Schomerus (2000), Universal twinkling exponents for spectral fluctuations associated with mixed chaology, Proc. R. Soc. Lond. A 456, 1659-1668. pdf

43. C.P. Hughes, JP. Keating & Neil O'Connell (2000), Random matrix theory and the derivative of the Riemann zeta function, Proc. R. Soc. Lond. A 456, 2611-2627. pdf

44. J.B. Conrey, J.P. Keating, M.O. Rubinstein & N.C. Snaith (2001), On the frequency of vanishing of quadratic twists of modular L-functions, in Proceedings of the millennial conference on number theory, Urbana, Illinois, May 21-26, 2000. pdf (may differ slightly from final published version)

45. G. Berkolaiko, EB, Bogomolny & J.P. Keating (2001), Star graphs and Seba billiards, J. Phys. A 34, 335-350. pdf

46. J.P. Keating & J.M. Robbins (2001), Force and impulse from an Aharonov-Bohm flux line, J. Phys. A 34, 807-827. pdf

47. J.D. Blower, J.P. Keating, H.M. Mader & J.C. Phillips (2001), Inferring volcanic degassing processes from vesicle size distributions, Geophysical Research Letters 28, 347-350. pdf

48. C.P. Hughes, J.P. Keating & N. O'Connell (2001), On the characteristic polynomial of a random unitary matrix, Commun. Math. Phys. 220, 429-451. pdf

49. J.P. Keating & S.D. Prado (2001), Orbit bifurcations and the scarring of wavefunctions, Proc. R. Soc. Lond. A 457, 1855-1872. pdf

50. R.D. Connors & J.P. Keating (2001), Quantum energy levels and classical periodic orbits: discreteness and statistical duality, Found. Phys. 31, 669-692. pdf

51. M.V. Berry & J.P. Keating (2002), Clusters of near-degenerate levels dominate negative moments of spectral determinants, J. Phys. A 35, L1-L6. pdf

52. J.P. Keating (2002), Random matrices and the Riemann zeta-function, Highlights of Mathematical Physics (ICMP2000), eds. A. Fokas, J. Halliwell, T. Kibble & B. Zegarlinski (AMS), 153-163. pdf

53. A. Bäcker, J.P. Keating & S.D. Prado (2002), Orbit bifurcations and wavefunction autocorrelations, Nonlinearity 15, 1417-1433. pdf

54. J.D. Blower, J.P. Keating, H.M. Mader & J.C. Philips (2002), The evolution of bubble size distributions in volcanic eruptions, J. Volcanol. Geotherm. Res. 120, 1-23. pdf

55. J. B. Conrey, D.W. Farmer, J.P. Keating, M.O. Rubinstein & N.C. Snaith (2003), Autocorrelation of Random Matrix Polynomials, Commun. Math. Phys. 237, 365-395. pdf

56. J.P. Keating, N. Linden & Z. Rudnick (2003), Random matrix theory, the exceptional Lie groups, and L-functions, J. Phys. A, 36, 2933-2944. pdf

57. J.P. Keating, J. Marklof & B. Winn (2003), Value distribution of the eigenfunctions and spectral determinants of quantum star graphs, Commun. Math. Phys., 241, 421-452. pdf

58. J.P. Keating & N.C. Snaith (2003), Random matrices and L-functions, J. Phys. A 36, 2859-2881. pdf

59. J.P. Keating, F. Mezzadri & A.G. Monastra (2003), Nodal domain distributions for quantum maps, J. Phys. A 36, L53-L59. pdf

60. J.P. Keating (2003), Orbit bifurcations and quantum fluctuation statistics, Annales Henri Poincaré 4, S707-S712. pdf (may differ slightly from final published version)

61. Y.V. Fyodorov & J.P. Keating (2003), Negative moments of characteristic polynomials of GOE matrices and singularity-dominated strong fluctuations, J. Phys. A 36, 4035-4046. pdf

62. G. Berkolaiko, J.P. Keating & B. Winn (2003), Intermediate wave function statistics, Phys. Rev. Lett. 91, 134103. pdf

63. H. Ishio & J.P. Keating (2004), Semiclassical wave functions in chaotic scattering systems, J. Phys. A 37, L217-L223. pdf

64. C.P. Dettmann, J.P. Keating & S.D. Prado (2004), Stochastic stabilization of cosmological chaos, J. Phys. A 37, L377-L383. pdf

65. P.J. Forrester & J.P. Keating (2004), Singularity dominated strong fluctuations for some random matrix averages, Commun. Math. Phys. 250, 119-131. pdf

66. G. Berkolaiko, J.P. Keating & B. Winn (2004), No quantum ergodicity for star graphs, Commun. Math. Phys. 250, 259-285. pdf

67. J.P. Keating (2004), Random matrices and the Riemann zeta-function – a review, Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress; editors, James M. Hill and Ross Moore (SIAM), 210-225. pdf (may differ slightly from final published version)

68. H. Ishio & J.P. Keating (2004), Soft-window averaging of radar cross sections, IEEE Trans. Antennas Propagat., 52, 2625-2630. pdf

69. J.P. Keating and F. Mezzadri (2004), Random matrix theory and entanglement in quantum spin chains, Commun. Math. Phys., 252, 543-579. pdf

70. J. B. Conrey, D.W. Farmer, J.P. Keating, M.O. Rubinstein & N.C. Snaith (2005), Integral moments of L-functions, Proc. London. Math. Soc., 91, 33-104. pdf

71. C.P. Dettmann, J.P. Keating & S.D. Prado (2004), Stochastic stabilization of chaos and the cosmic microwave background, Int. J. Mod. Phys. D, 13, 1461-1467. pdf (may differ slightly from final published version)

72. J.P. Keating (2005), L-functions and the characteristic polynomials of random matrices, Recent Perspectives in Random Matrix Theory and Number Theory, eds. F. Mezzadri and N.C. Snaith, London Mathematical Society Lecture Note Series 322 (CUP), pp 251-278. pdf (may differ slightly from final published version)

73. J.P. Keating and F. Mezzadri (2005), Entanglement in quantum spin chains, symmetry classes of random matrices, and conformal field theory, Phys. Rev. Lett., 94, 050501. pdf

74. J.P. Keating (2005), Mathematical aspects of quantum chaos, Proceedings of the 4th European Congress of Mathematics, Stockholm, edited by Ari Laptev, European Mathematical Society, pp 619-624. pdf (may differ slightly from final published version)

75. J.P. Keating (2005), Random matrices and number theory, Proceedings of the Les Houches Summer School on Applications of Random Matrices in Physics, Les Houches 2004, edited by E. Brezin et al., Springer, pp 1-32. pdf (may differ slightly from final published version)

76. J.P. Keating, S.D. Prado & M. Sieber (2005), Universal quantum signature of mixed dynamics in antidot lattices, Phys. Rev. B, 72, art. no. 235334. pdf

77. J.B. Conrey, J.P. Keating, M.O. Rubinstein & N.C. Snaith (2006), Random matrix theory and the Fourier coefficients of half-integral weight forms, Experimental Math., 15, 67-82. pdf

78. J.P. Keating (2006), Fluctuation statistics for quantum star graphs, Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications (Snowbird, Utah, 2005), edited by G. Berkolaiko, R. Carlson, S. Fulling, and P. Kuchment, Contemp. Math., 415 (AMS). pdf (may differ slightly from final published version)

79. H.M. Bui & J.P. Keating (2006), On twin primes associated with the Hawkins random sieve, J. Number Theory 119, 284-296. pdf

80. J.P. Keating, J. Marklof & I.G. Williams (2006), Nodal domain statistics for quantum maps, percolation and stochastic Loewner evolution, Phys. Rev. Lett., 97, 034101. pdf

81. J.P. Keating, F. Mezzadri & M. Novaes (2006), Comb entanglement in quantum spin chains, Phys. Rev. A 74, 012311. pdf

82. J.P. Keating, F. Mezzadri & M. Novaes (2006), A new correlator in quantum spin chains, J. Phys. A 39, L389-L394. pdf

83. J.P. Keating, M. Novaes, S.D. Prado & M. Sieber (2006), Semiclassical structure of chaotic resonance eigenfunctions, Phys. Rev. Lett. 97, 150406. pdf

84. S.M. Gonek, C.P. Hughes & J.P. Keating (2007), A Hybrid Euler-Hadamard product for the Riemann zeta function, Duke Math. J. 136, 507-549. pdf

85. H.M. Bui & J.P. Keating (2007), On the mean values of Dirichlet $L$-functions, Proc. London. Math. Soc. 95, 273-298. pdf

86. G. Berkolaiko, J. P. Keating & U. Smilansky (2007), Quantum ergodicity for graphs related to interval maps, Commun. Math. Phys. 273, 137-159.

87. J.P. Keating, N. Linden, J.C.F. Matthews & A. Winter (2007), Localization and its consequences for quantum walk algorithms and quantum communication, Phys. Rev. A 76, 012315. pdf

88. J.P. Keating, A.M. Ozorio de Almeida, S.D. Prado, M.Sieber and R. Vallejos (2007), Periodic orbit bifurcations and scattering time delay fluctuations, Progress of Theoretical Physics Supplement No. 166, 10-18. pdf

89. J.P. Keating & S. Müller (2007), Resummation and the semiclassical theory of spectral statistics, Proc. R. Soc. Lond. A 463, 3241-3250. pdf

90. J. Wang, T.S. Monteiro, S. Fishman, J.P. Keating & R. Schubert (2007), Fractional - scaling for quantum kicked rotors without cantori, Phys. Rev. Lett. 99, 234101.

91. J.P. Keating, M. Novaes & H. Schomerus (2008), A model for chaotic dielectric microresonators, Phys. Rev. E. 77, 013834.

92. J.P. Keating & B.E. Odgers (2008), Symmetry transitions in Random Matrix Theory & L-Functions, Commun. Math. Phys. 281, 499-528.

93. H.M. Bui & J.P. Keating (2008), On the mean values of L-functions in orthogonal and symplectic families, Proc. London. Math. Soc. 96, 335-366.

94. J.B. Conrey, D. Farmer, J.P. Keating, M.O. Rubinstein & N.C. Snaith (2008), Lower order terms in the full moment conjecture for the Riemann zeta function, J. Number Theory 128, 1516-1554.

95. J.P. Keating, J. Marklof & I.G. Williams (2008), Nodal domain statistics for quantum chaotic maps, New Journal of Physics 10, 083023.

96. P. Exner, J.P. Keating, P. Kuchment, T. Sunada & A. Teplyaev (2008) (eds.), Analysis on graphs and its applications, Proc. Symp. Pure Math. 77 (AMS).

97. J.P. Keating (2008), Quantum graphs and quantum chaos, Analysis on graphs and its applications, edited by P. Exner, J.P. Keating, P. Kuchment, T. Sunada & A. Teplyaev, Proc. Symp. Pure Math. 77 (AMS), 279-290.

98. J.P. Keating, S. Nonnenmacher, M. Novaes & M. Sieber (2008), On the resonance eigenstates of an open quantum baker map, Nonlinearity 21, 2591-2624.

99. J.P. Keating & M. Novaes (2008), Chaotic wave scattering, New directions in linear acoustics and vibration – quantum chaos, random matrix theory & complexity, edited by R. Weaver & M. Wright (CUP), in the press.

100. S. Gnutzman, J.P. Keating & F. Piotet (2008), Quantum ergodicity on graphs, Phys. Rev. Lett., in the press.

101. D.K Huynh, J.P. Keating & N.C. Snaith (2008), Lower order terms for the one-level density of elliptic curve L-functions, J. Number Theory, in the press.