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Publications by Author

Jon Keating, FRS

For a complete list of publications (2019)
see my personal homepage
Rate of convergence of linear functions on the unitary group (2011)
J. P. Keating, F. Mezzadri and B. Singphu
J. Phys. A: Math. Theor. vol: 44 , Issue: 3 , Pages: 035204 - 035204-27
DOI: 10.1088/1751-8113/44/3/035204
URL provided by the author
Quantum Statistics on Graphs (2011)
JM Harrison, JP Keating and JM Robbins
Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences vol: 467 , Issue: 2125 , Pages: 212 - 233
DOI: 10.1098/rspa.2010.0254
URL provided by the author
Quantum ergodicity for graphs related to interval maps (2007)
G. Berkolaiko, J. P. Keating & U. Smilansky
Communications in Mathematical Physics vol: 273 , Pages: 137 - 159
On the mean values of Dirichlet $L$-functions (2007)
H.M. Bui & J.P. Keating
Proceedings of the London Mathematical Society vol: 95 , Pages: 273 - 298
URL provided by the author
On the mean values of L-functions in orthogonal and symplectic families (2007)
H.M. Bui & J.P. Keating
Proceedings of the London Mathematical Society
Resummation and the semiclassical theory of spectral statistics (2007)
J. P. Keating and S. Mueller
Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences vol: 463 , Page: 3241
DOI: 10.1098/rspa.2007.0178
URL provided by the author
Periodic orbit bifurcations and scattering time delay fluctuations (2007)
J. P. Keating, A. M. Ozorio de Almeida, S. D. Prado, M. Sieber, R. Vallejos
Progress of Theoretical Physics Supplement vol: 166 , Pages: 10 - 18
URL provided by the author
Fractional - scaling for quantum kicked rotors without cantori (2007)
J. Wang, T.S. Monteiro, S. Fishman, J.P. Keating & R. Schubert
Phys. Rev. Lett.
Lower order terms in the full moment conjecture for the Riemann zeta function (2007)
J.B. Conrey, D. Farmer, J.P. Keating, M.O. Rubinstein & N.C. Snaith
Journal of Number Theory
Symmetry transitions in Random Matrix Theory & L-Functions (2007)
J.P. Keating & B.E. Odgers
Communications in Mathematical Physics
Localization and its consequences for quantum walk algorithms and quantum communication (2007)
J.P. Keating, N. Linden, J.C.F. Matthews & A. Winter
Phys. Rev. A vol: 76 , Page: 012315
URL provided by the author
A Hybrid Euler-Hadamard product for the Riemann zeta function (2007)
S.M. Gonek, C.P. Hughes & J.P. Keating
Duke Math. J. vol: 136 , Pages: 507 - 549
URL provided by the author
On twin primes associated with the Hawkins random sieve (2006)
H.M. Bui & J.P. Keating
Journal of Number Theory vol: 119 , Pages: 284 - 296
URL provided by the author
Semiclassical structure of chaotic resonance eigenfunctions (2006)
J. P. Keating, M. Novaes, S. D. Prado, M. Sieber
Physical Review Letters vol: 97 , Issue: 15 , Page: 150406
DOI: 10.1103/PhysRevLett.97.150406
URL provided by the author
Random matrix theory and the Fourier coefficients of half-integral weight forms (2006)
J.B. Conrey, J.P. Keating, M.O. Rubinstein, N.C. Snaith
Experimental Mathematics vol: 15 , Issue: 1 , Pages: 67 - 82
URL provided by the author
Fluctuation statistics for quantum star graphs (2006)
J.P. Keating
Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications (Snowbird, Utah, 2005), Contemp. Math., 415
Editors: G. Berkolaiko, R. Carlson, S. Fulling, and P. Kuchment
Publisher: AMS
URL provided by the author
A new correlator in quantum spin chains (2006)
J.P. Keating, F. Mezzadri & M. Novaes
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 39 , Pages: L389 - L394
URL provided by the author
Comb entanglement in quantum spin chains (2006)
J.P. Keating, F. Mezzadri & M. Novaes
Phys. Rev. D vol: 74 , Page: 012311
URL provided by the author
Nodal domain statistics for quantum maps, percolation and stochastic Loewner evolution (2006)
J.P. Keating, J. Marklof & I.G. Williams
Physical Review Letters vol: 97 , Page: 034101
URL provided by the author
Universal quantum signature of mixed dynamics in antidot lattices (2005)
J. P. Keating, S. D. Prado, M. Sieber
Phys. Rev. B vol: 72 , Page: 245334
DOI: 10.1103/PhysRevB.72.245334
URL provided by the author
Integral moments of L-functions (2005)
J.B.Conrey, D.W. Farmer, J.P. Keating, M.O. Rubinstein, N.C. Snaith
Proceedings of the London Mathematical Society vol: 91 , Pages: 33 - 104
URL provided by the author
L-functions and the characteristic polynomials of random matrices (2005)
J.P. Keating
Recent Perspectives in Random Matrix Theory and Number Theory, London Mathematical Society Lecture Note Series 322
Editors: F. Mezzadri and N.C. Snaith
Page numbers: 251 - 278
Publisher: CUP
URL provided by the author
Mathematical aspects of quantum chaos (2005)
J.P. Keating
Proceedings of the 4th European Congress of Mathematics, Stockholm
Editors: Ari Laptev
Page numbers: 619 - 624
Publisher: European Mathematical Society
URL provided by the author
Random matrices and number theory (2005)
J.P. Keating
Proceedings of the Les Houches Summer School on Applications of Random Matrices in Physics
Editors: E. Brezin et al.
Page numbers: 1 - 32
Publisher: Springer
URL provided by the author
Entanglement in quantum spin chains, symmetry classes of random matrices, and conformal field theory (2005)
J.P. Keating and F. Mezzadri
Physical Review Letters vol: 94 , Page: 050501
URL provided by the author
Stochastic stabilization of cosmological chaos (2004)
C.P. Dettmann, J.P. Keating & S.D. Prado
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 37 , Pages: L377 - L383
URL provided by the author
No quantum ergodicity for star graphs (2004)
G. Berkolaiko, J.P. Keating & B. Winn
Communications in Mathematical Physics vol: 250 , Pages: 259 - 285
URL provided by the author
Semiclassical wave functions in chaotic scattering systems (2004)
H. Ishio & J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 37 , Pages: L217 - L223
URL provided by the author
Soft-window averaging of radar cross sections (2004)
H. Ishio & J.P. Keating
IEEE Trans. Antennas Propagat. vol: 52 , Pages: 2625 - 2630
URL provided by the author
Random matrices and the Riemann zeta-function � a review (2004)
J.P. Keating
Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress
Editors: James M. Hill and Ross Moore
Page numbers: 210 - 225
Publisher: SIAM
URL provided by the author
Random matrix theory and entanglement in quantum spin chains (2004)
J.P. Keating and F. Mezzadri
Communications in Mathematical Physics vol: 242 , Pages: 543 - 579
URL provided by the author
Singularity dominated strong fluctuations for some random matrix averages (2004)
P.J. Forrester & J.P. Keating
Communications in Mathematical Physics vol: 250 , Pages: 119 - 131
URL provided by the author
Intermediate wave function statistics (2003)
G. Berkolaiko, J.P. Keating & B. Winn
Phys. Rev. Lett. vol: 91 , Page: 134103
URL provided by the author
Autocorrelation of random matrix polynomials (2003)
J.B. Conrey, D.W. Farmer, J.P. Keating, M.O. Rubinstein, N.C. Snaith
Communications in Mathematical Physics vol: 237 , Issue: 3 , Pages: 365 - 395
URL provided by the author
Orbit bifurcations and quantum fluctuation statistics (2003)
J.P. Keating
Annales Henri Poincaré vol: 4 , Pages: S707 - S712
URL provided by the author
Random matrices and L-functions (2003)
J.P. Keating and N.C. Snaith
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 36 , Pages: 2859 - 2881
URL provided by the author
Nodal domain distributions for quantum maps (2003)
J.P. Keating, F. Mezzadri & A.G. Monastra
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 36 , Pages: L53 - L59
URL provided by the author
Value distribution of the eigenfunctions and spectral determinants of quantum star graphs (2003)
J.P. Keating, J. Marklof & B. Winn
Communications in Mathematical Physics vol: 241 , Pages: 421 - 452
URL provided by the author
Random matrix theory, the exceptional Lie groups, and L-functions (2003)
J.P. Keating, N. Linden & Z. Rudnick
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 36 , Pages: 2933 - 2944
URL provided by the author
Negative moments of characteristic polynomials of GOE matrices and singularity-dominated strong fluctuations (2003)
Y.V. Fyodorov & J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 36 , Pages: 4035 - 4046
URL provided by the author
Orbit bifurcations and wavefunction autocorrelations (2002)
A. Bäcker, J.P. Keating & S.D. Prado
Nonlinearity vol: 15 , Pages: 1417 - 1433
URL provided by the author
On the frequency of vanishing of quadratic twists of modular L-functions (2002)
J.B. Conrey, J.P. Keating, M.O. Rubinstein, N.C. Snaith
Number Theory for the Millennium I
Editors: MA Bennett et al.
Publisher: A.K. Peters, Ltd
URL provided by the author
The evolution of bubble size distributions in volcanic eruptions (2002)
J.D. Blower, J.P. Keating, H.M. Mader & J.C. Philips
J. Volcanol. Geotherm. Res. vol: 120 , Pages: 1 - 23
URL provided by the author
Random matrices and the Riemann zeta-function (2002)
J.P. Keating
Highlights of Mathematical Physics (ICMP2000)
Editors: A. Fokas, J. Halliwell, T. Kibble & B. Zegarlinski
Page numbers: 153 - 163
Publisher: AMS
Clusters of near-degenerate levels dominate negative moments of spectral determinants (2002)
M.V. Berry & J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 35 , Pages: L1 - L6
URL provided by the author
On the characteristic polynomial of a random unitary matrix (2001)
C.P. Hughes, J.P. Keating & N. O'Connell
Communications in Mathematical Physics vol: 220 , Pages: 429 - 451
URL provided by the author
Star graphs and Seba billiards (2001)
G. Berkolaiko, EB, Bogomolny & J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 34 , Pages: 335 - 350
URL provided by the author
Inferring volcanic degassing processes from vesicle size distributions (2001)
J.D. Blower, J.P. Keating, H.M. Mader & J.C. Phillips
Geophysical Research Letters vol: 28 , Pages: 347 - 350
URL provided by the author
Force and impulse from an Aharonov-Bohm flux line (2001)
J.P. Keating & J.M. Robbins
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 34 , Pages: 807 - 827
URL provided by the author
Orbit bifurcations and the scarring of wavefunctions (2001)
J.P. Keating & S.D. Prado
Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences vol: 457 , Pages: 1855 - 1872
URL provided by the author
Quantum energy levels and classical periodic orbits: discreteness and statistical duality (2001)
R.D. Connors & J.P. Keating
Found. Phys. vol: 31 , Pages: 669 - 692
URL provided by the author
Random matrix theory and the derivative of the Riemann zeta function (2000)
C.P. Hughes, JP. Keating & Neil O'Connell
Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences vol: 456 , Pages: 2611 - 2627
URL provided by the author
Pseudo-symmetries of Anosov maps and spectral statistics (2000)
J.P. Keating & F. Mezzadri
Nonlinearity vol: 13 , Pages: 747 - 775
URL provided by the author
Torus maps, symmetries and spectral statistics (2000)
J.P. Keating & F. Mezzadri
New Directions in Quantum Chaos
Editors: G. Casati, I. Guarneri & U. Smilansky
Page numbers: 449 - 472
Publisher: North Holland
Address: Proceedings of the International School of Physics “Enrico Fermi”, Varenna, Italy,
Summability of gap series (2000)
J.P. Keating & J.B Reade
Proc. Edinburgh Math. Soc. vol: 43 , Pages: 95 - 101
Random matrix theory and $\zeta(1/2+it)$ (2000)
J.P. Keating and N.C. Snaith
Communications in Mathematical Physics vol: 214 , Pages: 57 - 89
URL provided by the author
Random matrix theory and L-functions at $s=1/2$ (2000)
J.P.Keating and N.C. Snaith
Communications in Mathematical Physics vol: 214 , Pages: 91 - 110
URL provided by the author
Universal twinkling exponents for spectral fluctuations associated with mixed chaology (2000)
M.V. Berry, J.P. Keating & H. Schomerus
Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences vol: 456 , Pages: 1659 - 1668
URL provided by the author
Two-point spectral correlations for star graphs (1999)
G. Berkolaiko & J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 32 , Pages: 7827 - 7841
URL provided by the author
Supersymmetry and Trace Formulae: Chaos and Disorder (1999)
I.V. Lerner, J.P. Keating & D.E. Khmelnitskii
Editors: I.V. Lerner, J.P. Keating & D.E. Khmelnitskii
Publisher: Plenum Press
Statistics of quantum eigenvalues and the Riemann zeros (1999)
J.P. Keating
Supersymmetry and Trace Formulae: Chaos and Disorder
Editors: I.V. Lerner, J.P. Keating & D.E Khmelnitskii
Page numbers: 1 - 15
Publisher: Plenum Press
Quantum boundary conditions for torus maps (1999)
J.P. Keating, F. Mezzadri & J.M. Robbins
Nonlinearity vol: 12 , Pages: 579 - 591
URL provided by the author
H=xp and the Riemann zeros (1999)
M.V. Berry & J.P. Keating
Supersymmetry and Trace Formulae: Chaos and Disorder
Editors: I.V. Lerner, J.P.Keating & D.E. Khmelnitskii
Page numbers: 355 - 367
Publisher: Plenum Press
URL provided by the author
The Riemann zeros and eigenvalue asymptotics (1999)
M.V. Berry & J.P. Keating
SIAM Review vol: 41 , Pages: 236 - 266
URL provided by the author
Degeneracy moments for the square billiard (1999)
R.D. Connors & J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 32 , Pages: 555 - 562
URL provided by the author
Orbit bifurcations and spectral statistics (1998)
M.V. Berry, J.P.Keating & S.D Prado
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 31 , Pages: L245 - L254
URL provided by the author
The diagonal approximation for non-time-reversal-symmetric systems (1998)
S. Fishman & J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 31 , Pages: L313 - L319
URL provided by the author
Fluctuations in quantum expectation values for chaotic systems with broken time-reversal symmetry (1998)
T.O. de Carvalho, J.P.Keating & J.M. Robbins
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 31 , Pages: 5631 - 5640
URL provided by the author
Resummation and the turning points of zeta functions (1997)
J.P. Keating
Classical, semiclassical and quantum chaos in atomic physics
Editors: B. Eckhardt & H. Friedich
Page numbers: 83 - 93
Publisher: Springer
Discrete symmetries and spectral statistics (1997)
J.P. Keating & J.M. Robbins
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 30 , Pages: L177 - L181
URL provided by the author
Two-point spectral correlations for the square billiard (1997)
R.D. Connors & J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 30 , Pages: 1817 - 1830
URL provided by the author
Gutzwiller's trace formula and spectral statistics: Beyond the diagonal approximation (1996)
E.B. Bogomolny & J.P. Keating
Phys. Rev. Lett. vol: 77 , Pages: 1472 - 1475
URL provided by the author
Random matrix theory and the Riemann zeros II: n-point correlations (1996)
E.B. Bogomolny & J.P. Keating
Nonlinearity vol: 9 , Pages: 911 - 935
URL provided by the author
Approach to ergodicity in quantum wave functions (1995)
B. Eckhardt, S. Fishman, J.P. Keating, 0. Agam, J. Main & K. Muller
Phys. Rev. E vol: 52 , Pages: 5893 - 5903
URL provided by the author
Random matrix theory and the Riemann zeros I: three- and four-point correlations (1995)
E.B Bogomolny & J.P. Keating
Nonlinearity vol: 8 , Pages: 1115 - 1131
URL provided by the author
Semiclassical asymptotics of perturbed cat maps (1995)
P.A. Boasman & J.P. Keating
Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences vol: 449 , Pages: 629 - 653
URL provided by the author
Optical realization of the baker's transformation (1994)
J.H. Hannay, J.P. Keating & A.M. Ozorio de Almeida
Nonlinearity vol: 7 , Pages: 1327 - 1342
URL provided by the author
Long-time divergence of semiclassical form-factors (1994)
J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 27 , Pages: 6605 - 6615
URL provided by the author
Calculation of spectral determinants (1994)
J.P. Keating & M. Sieber
Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences vol: 447 , Pages: 413 - 437
URL provided by the author
Persistant current flux correlations calculated by quantum chaology (1994)
M.V. Berry & J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 27 , Pages: 6167 - 6176
URL provided by the author
Semiclassical theory of magnetisation for a two-dimensional non-interacting electron gas (1994)
S.D. Prado, M.A.M. de Aguiar, J.P. Keating & R. Egydio de Carvalho
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 27 , Pages: 6091 - 6106
URL provided by the author
Quantum chaology and the Riemann zeta-function (1993)
J.P. Keating
Quantum Chaos
Editors: G. Casati, I. Guarneri & U. Smilansky
Page numbers: 145 - 185
Publisher: North-Holland
The quantum mechanics of chaotic systems – or – can one hear the chaology of a drum? (1993)
J.P. Keating
The Nature of Chaos
Editors: T. Mullin
Page numbers: 282 - 310
Publisher: Oxford University Press
Correlations in the actions of periodic orbits derived from quantum chaos (1993)
N. Argaman, F.M. Dittes, E. Doron, J.P. Keating, A. Kitaev, M. Sieber & U. Smilansky
Physical Review Letters vol: 71 , Pages: 4326 - 4329
URL provided by the author
Periodic orbit resummation and the quantization of chaos (1992)
J.P. Keating
Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences vol: 436 , Pages: 99 - 108
URL provided by the author
The semiclassical functional equation (1992)
J.P. Keating
Chaos vol: 2 , Pages: 15 - 19
URL provided by the author
A new asymptotic representation for $\zeta(1/2+it)$ and quantum spectral determinants (1992)
M.V Berry & J.P. Keating
Proceedings of the Royal Society A - Mathematical, Physical and Engineering Sciences vol: 437 , Pages: 151 - 173
URL provided by the author
The cat maps: quantum mechanics and classical motion (1991)
J.P Keating
Nonlinearity vol: 4 , Pages: 309 - 341
URL provided by the author
The semiclassical sum rule and Riemann's zeta function (1991)
J.P. Keating
Quantum Chaos
Editors: H Cerdeira, R. Ramaswamy, M.C. Gutzwiller & G. Casati
Page numbers: 280 - 294
Publisher: World Scientific
Address: ICTP, Trieste
Asymptotic properties of the periodic orbits of the cat maps (1991)
J.P. Keating
Nonlinearity vol: 4 , Pages: 277 - 307
URL provided by the author
Semiclassical properties of the cat maps (1990)
J.P. Keating
Number Theory and Physics
Editors: J.-M. Luck, P.Moussa & M. Waldschmidt
Page numbers: 302 - 310
Publisher: Springer Proceedings in Physics
Address: Les Houches, France
Physics and the queen of mathematics (1990)
J.P. Keating
Physics World, April issue, pages 46-50.
A rule for quantizing chaos? (1990)
M.V. Berry & J.P. Keating
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 23 , Pages: 4839 - 4849
URL provided by the author
False singularities in partial sums over closed orbits (1987)
J.P. Keating & M.V. Berry
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL vol: 20 , Pages: L1139 - L1141
URL provided by the author