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Keating, Jonathan Peter

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Author ID: keating.jonathan-p Recent zbMATH articles by "Keating, Jonathan Peter"
Published as: Keating, Jonathan P.; Keating, J. P.; Keating, Jonathan; Keating, Jon P.; Keating, Jon
Homepage: https://jpkeating.wordpress.com/
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Co-Authors

17 single-authored
12 Conrey, John Brian
12 Snaith, Nina Claire
11 Mezzadri, Francesco
9 Berry, Michael Victor
7 Prado, Sandra D.
6 Bogomolny, E. B.
6 Bui, Hung Manh
6 Roditty-Gershon, Edva
5 Rubinstein, Michael O.
5 Rudnick, Zeév
4 Andrade, Julio Cesar
3 Bailey, E. C.
3 Farmer, David W.
3 Fyodorov, Yan V.
3 Gonek, Steven M.
3 Hughes, C. P.
3 Huynh, Duc Khiem
2 Baskerville, Nicholas P.
2 Connors, Richard D.
2 Dueñez, Eduardo
2 Exner, Pavel
2 Florea, Alexandra M.
2 Gnutzmann, Sven
2 Hall, Chris
2 Harrison, Jon M.
2 Kuchment, Peter A.
2 Linden, Noah
2 Marklof, Jens
2 Miller, Steven J.
2 Najnudel, Joseph
2 O’Connell, Neil
2 Ozorio de Almeida, Alfredo M.
2 Sieber, Martin
2 Smilansky, Uzy
2 Sunada, Toshikazu
2 Teplyaev, Alexander
1 Argaman, Nathan
1 Assiotis, Theodoros
1 Basor, Estelle L.
1 Berkolaiko, Gregory
1 Bhargava, Manjul
1 Bleher, Pavel M.
1 Boasman, P. A.
1 Booker, Andrew R.
1 Bourgade, Paul
1 Buckingham, Robert J.
1 Cremona, John E.
1 de Carvalho, T. O.
1 Dettman, C. P.
1 Dettmann, Carl P.
1 Dittes, F.-M.
1 Doron, Eyal
1 Fisher, Tom A.
1 Fishman, Shmuel
1 Forrester, Peter J.
1 Grava, Tamara
1 Hannay, J. H.
1 Hiary, Ghaith Ayesh
1 Ishio, Hiromu
1 Its, Alexander Rudolfovich
1 Its, Elizabeth N.
1 Jones, Nick G.
1 Jonnadula, Bhargavi
1 Khmelnitskii, David E.
1 Kitaev, Alexei Yu.
1 Lerner, Igor V.
1 Martinez de Aguiar, Marcus Aloizio
1 Mason, Robert Lee
1 Monastra, Alejandro G.
1 Mondragón, Raúl J.
1 Müller, Sebastian
1 Nonnenmacher, Stéphane
1 Odgers, B. E.
1 Piotet, F.
1 Rao, Calyampudi Radhakrishna
1 Reade, John B.
1 Rodgers, Brad
1 Schomerus, Henning
1 Singphu, B.
1 Ueberschär, Henrik
1 Vallejos, Raúl O.
1 Wells, H. J.
1 Wooley, Trevor D.
all top 5

Serials

21 Journal of Physics A: Mathematical and General
14 Communications in Mathematical Physics
11 Nonlinearity
7 Journal of Number Theory
7 Journal of Physics A: Mathematical and Theoretical
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Proceedings of the London Mathematical Society. Third Series
4 IMRN. International Mathematics Research Notices
4 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
3 Algebra & Number Theory
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Duke Mathematical Journal
2 Journal of the London Mathematical Society. Second Series
2 Physical Review Letters
2 Philosophical Transactions A. Royal Society of London
1 Acta Arithmetica
1 Journal of the American Statistical Association
1 Mathematische Zeitschrift
1 Mathematika
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Annals of Physics
1 Communications in Statistics. Theory and Methods
1 SIAM Review
1 Indagationes Mathematicae. New Series
1 Experimental Mathematics
1 International Journal of Modern Physics D
1 Chaos
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Annales Henri Poincaré
1 Journal of Statistical Mechanics: Theory and Experiment
1 International Journal of Number Theory
1 Proceedings of Symposia in Pure Mathematics
1 Advances in Mathematical Physics
1 Random Matrices: Theory and Applications
1 Research in Number Theory
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 London Mathematical Society. Newsletter

Publications by Year

Citations contained in zbMATH Open

106 Publications have been cited 1,553 times in 750 Documents Cited by Year
Random matrix theory and \(\zeta(1/2+it)\). Zbl 1051.11048
Keating, Jonathan P.; Snaith, Nina C.
210
2000
Integral moments of \(L\)-functions. Zbl 1075.11058
Conrey, J. B.; Farmer, D. W.; Keating, J. P.; Rubinstein, M. O.; Snaith, N. C.
122
2005
Random matrix theory and \(L\)-functions at \(s=1/2\). Zbl 1051.11047
Keating, Jonathan P.; Snaith, Nina C.
89
2000
The Riemann zeros and eigenvalue asymptotics. Zbl 0928.11036
Berry, M. V.; Keating, Jonathan P.
67
1999
The Pitman nearness criterion and its determination. Zbl 0615.62031
Rao, C. R.; Keating, J. P.; Mason, Robert L.
66
1986
On the characteristic polynomial of a random unitary matrix. Zbl 0987.60039
Hughes, C. P.; Keating, Jonathan P.; O’Connell, Neil
58
2001
Freezing transitions and extreme values: random matrix theory, \(\zeta(\frac12 +\mathrm{i}t)\) and disordered landscapes. Zbl 1330.82028
Fyodorov, Yan V.; Keating, Jonathan P.
48
2014
Analysis on graphs and its applications. Selected papers based on the Isaac Newton Institute for Mathematical Sciences programme, Cambridge, UK, January 8–June 29, 2007. Zbl 1143.05002
47
2008
Autocorrelation of random matrix polynomials. Zbl 1090.11055
Conrey, J. B.; Farmer, D. W.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, Nina C.
39
2003
A rule for quantizing chaos? Zbl 0715.58043
Berry, M. V.; Keating, J. P.
33
1990
Gutzwiller’s trace formula and spectral statistics: beyond the diagonal approximation. Zbl 1182.81034
Bogomolny, E. B.; Keating, J. P.
31
1996
A hybrid Euler-Hadamard product for the Riemann zeta function. Zbl 1171.11049
Gonek, S. M.; Hughes, C. P.; Keating, Jonathan P.
30
2007
Random matrix theory and the derivative of the Riemann zeta function. Zbl 0996.11052
Hughes, C. P.; Keating, Jonathan P.; O’Connell, Neil
29
2000
Random matrix theory and the Riemann zeros. II: \(n\)-point correlations. Zbl 0898.60107
Bogomolny, E. B.; Keating, Jonathan P.
27
1996
The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble. Zbl 1278.11082
Andrade, J. C.; Keating, J. P.
27
2012
Random matrix theory and entanglement in quantum spin chains. Zbl 1124.82009
Keating, J. P.; Mezzadri, F.
27
2004
The variance of the number of prime polynomials in short intervals and in residue classes. Zbl 1319.11084
Keating, Jonathan P.; Rudnick, Zeév
26
2014
A new asymptotic representation for \(\zeta(\tfrac12+it)\) and quantum spectral determinants. Zbl 0776.11048
Berry, M. V.; Keating, Jonathan P.
26
1992
Random matrix theory and the Riemann zeros. I: Three- and four-point correlations. Zbl 0834.60105
Bogomolny, E. B.; Keating, Jonathan P.
25
1995
Random matrices and \(L\)-functions. Zbl 1074.11053
Keating, J. P.; Snaith, N. C.
24
2003
Lower order terms in the full moment conjecture for the Riemann zeta function. Zbl 1141.11040
Conrey, J. B.; Farmer, D. W.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, N. C.
19
2008
Sums of divisor functions in \(\mathbb {F}_q[t]\) and matrix integrals. Zbl 1430.11137
Keating, J. P.; Rodgers, B.; Roditty-Gershon, E.; Rudnick, Z.
18
2018
The cat maps: Quantum mechanics and classical motion. Zbl 0726.58037
Keating, J. P.
18
1991
Conjectures for the integral moments and ratios of \(L\)-functions over function fields. Zbl 1318.11083
Andrade, J. C.; Keating, J. P.
17
2014
Star graphs and Šeba billiards. Zbl 1058.81021
Berkolaiko, G.; Bogomolny, E. B.; Keating, Jonathan P.
16
2001
No quantum ergodicity for star graphs. Zbl 1059.81066
Berkolaiko, G.; Keating, J. P.; Winn, B.
15
2004
On the frequency of vanishing of quadratic twists of modular \(L\)-functions. Zbl 1044.11035
Conrey, J. B.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, Nina C.
14
2002
Asymptotic properties of the periodic orbits of the cat maps. Zbl 0726.58036
Keating, J. P.
14
1991
Mean value theorems for \(L\)-functions over prime polynomials for the rational function field. Zbl 1286.11097
Andrade, Julio C.; Keating, Jonathan P.
13
2013
Squarefree polynomials and Möbius values in short intervals and arithmetic progressions. Zbl 1391.11156
Keating, Jonathan P.; Rudnick, Zeev
13
2016
Moments of zeta and correlations of divisor-sums. II. Zbl 1382.11052
Conrey, Brian; Keating, Jonathan P.
12
2015
Spectra and eigenstates of spin chain Hamiltonians. Zbl 1318.81022
Keating, J. P.; Linden, N.; Wells, H. J.
12
2015
Two-point spectral correlations for star graphs. Zbl 0946.81025
Berkolaiko, G.; Keating, Jonathan P.
11
1999
Lower order terms for the one-level density of elliptic curve \(L\)-functions. Zbl 1205.11077
Huynh, D. K.; Keating, Jonathan P.; Snaith, N. C.
11
2009
Value distribution of the eigenfunctions and spectral determinants of quantum star graphs. Zbl 1098.81034
Keating, Jonathan P.; Marklof, J.; Winn, B.
10
2003
Moments of zeta and correlations of divisor-sums. IV. Zbl 1411.11074
Conrey, Brian; Keating, Jonathan P.
10
2016
Random matrix theory and the Fourier coefficients of half-integral weight forms. Zbl 1144.11035
Conrey, J. B.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, N. C.
10
2006
Moments of zeta and correlations of divisor-sums. I. Zbl 1383.11098
Conrey, Brian; Keating, Jonathan P.
10
2015
Random matrix theory, the exceptional Lie groups and \(L\)-functions. Zbl 1074.11052
Keating, J. P.; Linden, N.; Rudnick, Z.
9
2003
Correlations in the actions of periodic orbits derived from quantum chaos. Zbl 0972.81543
Argaman, N.; Dittes, F. M.; Doron, E.; Keating, J. P.; Kitaev, A. Yu.; Sieber, M.; Smilansky, U.
9
1993
Singularity dominated strong fluctuations for some random matrix averages. Zbl 1087.82012
Forrester, P. J.; Keating, J. P.
9
2004
On the mean values of \(L\)-functions in orthogonal and symplectic families. Zbl 1220.11099
Bui, H. M.; Keating, Jonathan P.
9
2008
A compact Hamiltonian with the same asymptotic mean spectral density as the Riemann zeros. Zbl 1222.81172
Berry, M. V.; Keating, J. P.
9
2011
Eigenfunction statistics on quantum graphs. Zbl 1206.81043
Gnutzmann, S.; Keating, J. P.; Piotet, F.
9
2010
Optical realization of the baker’s transformation. Zbl 0803.58025
Hannay, J. H.; Keating, Jonathan P.; Ozorio de Almeida, A. M.
8
1994
Moments of zeta and correlations of divisor-sums. III. Zbl 1332.11079
Conrey, Brian; Keating, Jonathan P.
8
2015
Symmetry transitions in random matrix theory & \(L\)-functions. Zbl 1170.11029
Keating, Jonathan P.; Odgers, B. E.
8
2008
Quantum ergodicity for graphs related to interval maps. Zbl 1122.81037
Berkolaiko, G.; Keating, Jonathan P.; Smilansky, U.
8
2007
Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations. Zbl 1049.82035
Fyodorov, Yan V.; Keating, Jonathan P.
7
2003
\(n\)-particle quantum statistics on graphs. Zbl 1294.81049
Harrison, Jon M.; Keating, J. P.; Robbins, J. M.; Sawicki, A.
7
2014
Quantum chaos, random matrix theory, and the Riemann \(\zeta\)-function. Zbl 1335.81082
Bourgade, Paul; Keating, Jonathan P.
7
2013
What is the probability that a random integral quadratic form in \(n\) variables has an integral zero? Zbl 1404.11035
Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P.
6
2016
On the mean values of Dirichlet \(L\)-functions. Zbl 1129.11034
Bui, H. M.; Keating, Jonathan P.
6
2007
Extreme values of CUE characteristic polynomials: a numerical study. Zbl 1411.15026
Fyodorov, Yan V.; Gnutzmann, Sven; Keating, Jonathan P.
6
2018
Orbit bifurcations and the scarring of wave functions. Zbl 0990.81036
Keating, Jonathan P.; Prado, S. D.
6
2001
Periodic orbit resummation and the quantization of chaos. Zbl 0820.58057
Keating, Jonathan P.
6
1992
Quantum statistics on graphs. Zbl 1219.82060
Harrison, Jon M.; Keating, J. P.; Robbins, J. M.
6
2011
On the moments of the moments of the characteristic polynomials of random unitary matrices. Zbl 1423.60013
Bailey, E. C.; Keating, J. P.
6
2019
Vladimir A. Geyler, April 29, 1943–April 2, 2007. Zbl 1190.01017
Exner, Pavel; Keating, Jonathan P.; Kuchment, Peter; Sunada, Toshikazu; Teplyaev, Alexander
5
2008
Persistent current flux correlations calculated by quantum chaology. Zbl 0843.58088
Berry, M. V.; Keating, Jonathan P.
5
1994
Clusters of near-degenerate levels dominate negative moments of spectral determinants. Zbl 1012.81015
Berry, M. V.; Keating, Jonathan P.
5
2002
Localized eigenfunctions in Šeba billiards. Zbl 1311.81115
Keating, J. P.; Marklof, J.; Winn, B.
5
2010
Arithmetic correlations over large finite fields. Zbl 1359.11091
Keating, Jonathan P.; Roditty-Gershon, Edva
5
2016
A method for calculating spectral statistics based on random-matrix universality with an application to the three-point correlations of the Riemann zeros. Zbl 1272.81073
Bogomolny, E.; Keating, J. P.
4
2013
A random matrix model for elliptic curve \(L\)-functions of finite conductor. Zbl 1292.11101
Dueñez, E.; Huynh, D. K.; Keating, J. P.; Miller, S. J.; Snaith, N. C.
4
2012
Detecting squarefree numbers. Zbl 1395.11139
Booker, Andrew R.; Hiary, Ghaith A.; Keating, Jon P.
4
2015
On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for \(L\)-functions in the Selberg class. Zbl 1359.11076
Bui, H. M.; Keating, J. P.; Smith, D. J.
4
2016
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014
Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P.
4
2019
Two-point spectral correlations for the square billiard. Zbl 0932.37022
Connors, R. D.; Keating, Jonathan P.
3
1997
Moments of zeta and correlations of divisor-sums: V. Zbl 1444.11166
Conrey, Brian; Keating, Jonathan P.
3
2019
Two-point correlation function for Dirichlet \(L\)-functions. Zbl 1304.11089
Bogomolny, E.; Keating, J. P.
3
2013
Pair correlation and twin primes revisited. Zbl 1407.11109
Conrey, Brian; Keating, Jonathan P.
3
2016
Semiclassical properties of the cat maps. Zbl 0709.58024
Keating, J. P.
3
1990
The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI. Zbl 1206.34113
Dueñez, E.; Huynh, D. K.; Keating, J. P.; Miller, S. J.; Snaith, N. C.
3
2010
Mean values of finite Euler products. Zbl 1215.11080
Gonek, S. M.; Keating, J. P.
3
2010
Discrete symmetries and spectral statistics. Zbl 1042.81541
Keating, Jonathan P.; Robbins, J. M.
2
1997
Averages of ratios of the Riemann zeta-function and correlations of divisor sums. Zbl 1427.11085
Conrey, Brian; Keating, Jonathan P.
2
2017
Resummation and the semiclassical theory of spectral statistics. Zbl 1140.81400
Keating, Jonathan P.; Müller, Sebastian
2
2007
On the resonance eigenstates of an open quantum baker map. Zbl 1158.35319
Keating, Jonathan P.; Nonnenmacher, S.; Novaes, M.; Sieber, M.
2
2008
Universal twinkling exponents for spectral fluctuations associated with mixed chaology. Zbl 0967.81025
Berry, M. V.; Keating, Jonathan P.; Schomerus, H.
2
2000
On twin primes associated with the Hawkins random sieve. Zbl 1135.11048
Bui, H. M.; Keating, J. P.
2
2006
Pseudo-symmetries of Anosov maps and spectral statistics. Zbl 1101.81329
Keating, Jonathan P.; Mezzadri, F.
2
2000
The semiclassical functional equation. Zbl 1055.81553
Keating, Jonathan
2
1992
Quantum boundary conditions for torus maps. Zbl 0984.81048
Keating, Jonathan P.; Mezzadri, F.; Robbins, J. M.
2
1999
Orbit bifurcations and spectral statistics. Zbl 1001.81519
Berry, M. V.; Keating, Jonathan P.; Prado, S. D.
2
1998
On relations between one-dimensional quantum and two-dimensional classical spin systems. Zbl 1341.82014
Hutchinson, J.; Keating, J. P.; Mezzadri, F.
2
2015
Random matrices and number theory: some recent themes. Zbl 1386.15070
Keating, Jon P.
2
2017
Rate of convergence of linear functions on the unitary group. Zbl 1210.15038
Keating, Jonathan P.; Mezzadri, F.; Singphu, B.
2
2011
Quantum graphs and quantum chaos. Zbl 1153.81501
Keating, Jonathan P.
1
2008
Orbit bifurcations and quantum fluctuation statistics. Zbl 1043.81025
Keating, J. P.
1
2003
Moments of quadratic twists of elliptic curve \(L\)-functions over function fields. Zbl 1466.11056
Bui, Hung M.; Florea, Alexandra; Keating, Jonathan P.; Roditty-Gershon, Edva
1
2020
Variance of arithmetic sums and \(L\)-functions in \(\mathbb F_q[t]\). Zbl 1464.11134
Hall, Chris; Keating, Jonathan P.; Roditty-Gershon, Edva
1
2019
Moments of moments and branching random walks. Zbl 1454.60130
Bailey, E. C.; Keating, J. P.
1
2021
A new correlator in quantum spin chains. Zbl 1122.82009
Keating, J. P.; Mezzadri, F.; Novaes, M.
1
2006
Calculation of spectral determinants. Zbl 0827.11034
Keating, Jonathan P.; Sieber, M.
1
1994
Summability of alternating gap series. Zbl 0949.40016
Keating, Jonathan P.; Reade, J. B.
1
2000
Semiclassical asymptotics of perturbed cat maps. Zbl 0842.58062
Boasman, P. A.; Keating, Jonathan P.
1
1995
Semiclassical theory of magnetization for a two-dimensional non-interacting electron gas. Zbl 0844.58071
Prado, S. D.; de Aguiar, M. A. M.; Keating, Jonathan P.; de Carvalho, R. Egydio
1
1994
Long-time divergence of semiclassical form-factors. Zbl 0848.58038
Keating, Jonathan P.
1
1994
Truncated product representations for \(L\)-functions in the hyperelliptic ensemble. Zbl 1428.11117
Andrade, J. C.; Gonek, S. M.; Keating, J. P.
1
2018
Moments of moments and branching random walks. Zbl 1454.60130
Bailey, E. C.; Keating, J. P.
1
2021
The loss surfaces of neural networks with general activation functions. Zbl 07398345
Baskerville, Nicholas P.; Keating, Jonathan P.; Mezzadri, Francesco; Najnudel, Joseph
1
2021
Moments of moments of characteristic polynomials of random unitary matrices and lattice point counts. Zbl 1482.15035
Assiotis, Theodoros; Keating, Jonathan P.
1
2021
Moments of quadratic twists of elliptic curve \(L\)-functions over function fields. Zbl 1466.11056
Bui, Hung M.; Florea, Alexandra; Keating, Jonathan P.; Roditty-Gershon, Edva
1
2020
On the moments of the moments of the characteristic polynomials of random unitary matrices. Zbl 1423.60013
Bailey, E. C.; Keating, J. P.
6
2019
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014
Basor, Estelle; Bleher, Pavel; Buckingham, Robert; Grava, Tamara; Its, Alexander; Its, Elizabeth; Keating, Jonathan P.
4
2019
Moments of zeta and correlations of divisor-sums: V. Zbl 1444.11166
Conrey, Brian; Keating, Jonathan P.
3
2019
Variance of arithmetic sums and \(L\)-functions in \(\mathbb F_q[t]\). Zbl 1464.11134
Hall, Chris; Keating, Jonathan P.; Roditty-Gershon, Edva
1
2019
Sums of divisor functions in \(\mathbb {F}_q[t]\) and matrix integrals. Zbl 1430.11137
Keating, J. P.; Rodgers, B.; Roditty-Gershon, E.; Rudnick, Z.
18
2018
Extreme values of CUE characteristic polynomials: a numerical study. Zbl 1411.15026
Fyodorov, Yan V.; Gnutzmann, Sven; Keating, Jonathan P.
6
2018
Truncated product representations for \(L\)-functions in the hyperelliptic ensemble. Zbl 1428.11117
Andrade, J. C.; Gonek, S. M.; Keating, J. P.
1
2018
Averages of ratios of the Riemann zeta-function and correlations of divisor sums. Zbl 1427.11085
Conrey, Brian; Keating, Jonathan P.
2
2017
Random matrices and number theory: some recent themes. Zbl 1386.15070
Keating, Jon P.
2
2017
Squarefree polynomials and Möbius values in short intervals and arithmetic progressions. Zbl 1391.11156
Keating, Jonathan P.; Rudnick, Zeev
13
2016
Moments of zeta and correlations of divisor-sums. IV. Zbl 1411.11074
Conrey, Brian; Keating, Jonathan P.
10
2016
What is the probability that a random integral quadratic form in \(n\) variables has an integral zero? Zbl 1404.11035
Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P.
6
2016
Arithmetic correlations over large finite fields. Zbl 1359.11091
Keating, Jonathan P.; Roditty-Gershon, Edva
5
2016
On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for \(L\)-functions in the Selberg class. Zbl 1359.11076
Bui, H. M.; Keating, J. P.; Smith, D. J.
4
2016
Pair correlation and twin primes revisited. Zbl 1407.11109
Conrey, Brian; Keating, Jonathan P.
3
2016
Moments of zeta and correlations of divisor-sums. II. Zbl 1382.11052
Conrey, Brian; Keating, Jonathan P.
12
2015
Spectra and eigenstates of spin chain Hamiltonians. Zbl 1318.81022
Keating, J. P.; Linden, N.; Wells, H. J.
12
2015
Moments of zeta and correlations of divisor-sums. I. Zbl 1383.11098
Conrey, Brian; Keating, Jonathan P.
10
2015
Moments of zeta and correlations of divisor-sums. III. Zbl 1332.11079
Conrey, Brian; Keating, Jonathan P.
8
2015
Detecting squarefree numbers. Zbl 1395.11139
Booker, Andrew R.; Hiary, Ghaith A.; Keating, Jon P.
4
2015
On relations between one-dimensional quantum and two-dimensional classical spin systems. Zbl 1341.82014
Hutchinson, J.; Keating, J. P.; Mezzadri, F.
2
2015
Number fields and function fields: coalescences, contrasts and emerging applications. Zbl 1353.11098
Keating, J. P.; Rudnick, Z.; Wooley, T. D.
1
2015
Freezing transitions and extreme values: random matrix theory, \(\zeta(\frac12 +\mathrm{i}t)\) and disordered landscapes. Zbl 1330.82028
Fyodorov, Yan V.; Keating, Jonathan P.
48
2014
The variance of the number of prime polynomials in short intervals and in residue classes. Zbl 1319.11084
Keating, Jonathan P.; Rudnick, Zeév
26
2014
Conjectures for the integral moments and ratios of \(L\)-functions over function fields. Zbl 1318.11083
Andrade, J. C.; Keating, J. P.
17
2014
\(n\)-particle quantum statistics on graphs. Zbl 1294.81049
Harrison, Jon M.; Keating, J. P.; Robbins, J. M.; Sawicki, A.
7
2014
Mean value theorems for \(L\)-functions over prime polynomials for the rational function field. Zbl 1286.11097
Andrade, Julio C.; Keating, Jonathan P.
13
2013
Quantum chaos, random matrix theory, and the Riemann \(\zeta\)-function. Zbl 1335.81082
Bourgade, Paul; Keating, Jonathan P.
7
2013
A method for calculating spectral statistics based on random-matrix universality with an application to the three-point correlations of the Riemann zeros. Zbl 1272.81073
Bogomolny, E.; Keating, J. P.
4
2013
Two-point correlation function for Dirichlet \(L\)-functions. Zbl 1304.11089
Bogomolny, E.; Keating, J. P.
3
2013
The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble. Zbl 1278.11082
Andrade, J. C.; Keating, J. P.
27
2012
A random matrix model for elliptic curve \(L\)-functions of finite conductor. Zbl 1292.11101
Dueñez, E.; Huynh, D. K.; Keating, J. P.; Miller, S. J.; Snaith, N. C.
4
2012
A compact Hamiltonian with the same asymptotic mean spectral density as the Riemann zeros. Zbl 1222.81172
Berry, M. V.; Keating, J. P.
9
2011
Quantum statistics on graphs. Zbl 1219.82060
Harrison, Jon M.; Keating, J. P.; Robbins, J. M.
6
2011
Rate of convergence of linear functions on the unitary group. Zbl 1210.15038
Keating, Jonathan P.; Mezzadri, F.; Singphu, B.
2
2011
Number theory. Zbl 1292.11102
Keating, J. P.; Snaith, N. C.
1
2011
Eigenfunction statistics on quantum graphs. Zbl 1206.81043
Gnutzmann, S.; Keating, J. P.; Piotet, F.
9
2010
Localized eigenfunctions in Šeba billiards. Zbl 1311.81115
Keating, J. P.; Marklof, J.; Winn, B.
5
2010
The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI. Zbl 1206.34113
Dueñez, E.; Huynh, D. K.; Keating, J. P.; Miller, S. J.; Snaith, N. C.
3
2010
Mean values of finite Euler products. Zbl 1215.11080
Gonek, S. M.; Keating, J. P.
3
2010
Lower order terms for the one-level density of elliptic curve \(L\)-functions. Zbl 1205.11077
Huynh, D. K.; Keating, Jonathan P.; Snaith, N. C.
11
2009
Analysis on graphs and its applications. Selected papers based on the Isaac Newton Institute for Mathematical Sciences programme, Cambridge, UK, January 8–June 29, 2007. Zbl 1143.05002
47
2008
Lower order terms in the full moment conjecture for the Riemann zeta function. Zbl 1141.11040
Conrey, J. B.; Farmer, D. W.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, N. C.
19
2008
On the mean values of \(L\)-functions in orthogonal and symplectic families. Zbl 1220.11099
Bui, H. M.; Keating, Jonathan P.
9
2008
Symmetry transitions in random matrix theory & \(L\)-functions. Zbl 1170.11029
Keating, Jonathan P.; Odgers, B. E.
8
2008
Vladimir A. Geyler, April 29, 1943–April 2, 2007. Zbl 1190.01017
Exner, Pavel; Keating, Jonathan P.; Kuchment, Peter; Sunada, Toshikazu; Teplyaev, Alexander
5
2008
On the resonance eigenstates of an open quantum baker map. Zbl 1158.35319
Keating, Jonathan P.; Nonnenmacher, S.; Novaes, M.; Sieber, M.
2
2008
Quantum graphs and quantum chaos. Zbl 1153.81501
Keating, Jonathan P.
1
2008
A hybrid Euler-Hadamard product for the Riemann zeta function. Zbl 1171.11049
Gonek, S. M.; Hughes, C. P.; Keating, Jonathan P.
30
2007
Quantum ergodicity for graphs related to interval maps. Zbl 1122.81037
Berkolaiko, G.; Keating, Jonathan P.; Smilansky, U.
8
2007
On the mean values of Dirichlet \(L\)-functions. Zbl 1129.11034
Bui, H. M.; Keating, Jonathan P.
6
2007
Resummation and the semiclassical theory of spectral statistics. Zbl 1140.81400
Keating, Jonathan P.; Müller, Sebastian
2
2007
Random matrix theory and the Fourier coefficients of half-integral weight forms. Zbl 1144.11035
Conrey, J. B.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, N. C.
10
2006
On twin primes associated with the Hawkins random sieve. Zbl 1135.11048
Bui, H. M.; Keating, J. P.
2
2006
A new correlator in quantum spin chains. Zbl 1122.82009
Keating, J. P.; Mezzadri, F.; Novaes, M.
1
2006
Random matrices and number theory. Zbl 1136.11331
Keating, Jonathan P.
1
2006
Integral moments of \(L\)-functions. Zbl 1075.11058
Conrey, J. B.; Farmer, D. W.; Keating, J. P.; Rubinstein, M. O.; Snaith, N. C.
122
2005
Random matrix theory and entanglement in quantum spin chains. Zbl 1124.82009
Keating, J. P.; Mezzadri, F.
27
2004
No quantum ergodicity for star graphs. Zbl 1059.81066
Berkolaiko, G.; Keating, J. P.; Winn, B.
15
2004
Singularity dominated strong fluctuations for some random matrix averages. Zbl 1087.82012
Forrester, P. J.; Keating, J. P.
9
2004
Autocorrelation of random matrix polynomials. Zbl 1090.11055
Conrey, J. B.; Farmer, D. W.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, Nina C.
39
2003
Random matrices and \(L\)-functions. Zbl 1074.11053
Keating, J. P.; Snaith, N. C.
24
2003
Value distribution of the eigenfunctions and spectral determinants of quantum star graphs. Zbl 1098.81034
Keating, Jonathan P.; Marklof, J.; Winn, B.
10
2003
Random matrix theory, the exceptional Lie groups and \(L\)-functions. Zbl 1074.11052
Keating, J. P.; Linden, N.; Rudnick, Z.
9
2003
Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations. Zbl 1049.82035
Fyodorov, Yan V.; Keating, Jonathan P.
7
2003
Orbit bifurcations and quantum fluctuation statistics. Zbl 1043.81025
Keating, J. P.
1
2003
On the frequency of vanishing of quadratic twists of modular \(L\)-functions. Zbl 1044.11035
Conrey, J. B.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, Nina C.
14
2002
Clusters of near-degenerate levels dominate negative moments of spectral determinants. Zbl 1012.81015
Berry, M. V.; Keating, Jonathan P.
5
2002
On the characteristic polynomial of a random unitary matrix. Zbl 0987.60039
Hughes, C. P.; Keating, Jonathan P.; O’Connell, Neil
58
2001
Star graphs and Šeba billiards. Zbl 1058.81021
Berkolaiko, G.; Bogomolny, E. B.; Keating, Jonathan P.
16
2001
Orbit bifurcations and the scarring of wave functions. Zbl 0990.81036
Keating, Jonathan P.; Prado, S. D.
6
2001
Random matrix theory and \(\zeta(1/2+it)\). Zbl 1051.11048
Keating, Jonathan P.; Snaith, Nina C.
210
2000
Random matrix theory and \(L\)-functions at \(s=1/2\). Zbl 1051.11047
Keating, Jonathan P.; Snaith, Nina C.
89
2000
Random matrix theory and the derivative of the Riemann zeta function. Zbl 0996.11052
Hughes, C. P.; Keating, Jonathan P.; O’Connell, Neil
29
2000
Universal twinkling exponents for spectral fluctuations associated with mixed chaology. Zbl 0967.81025
Berry, M. V.; Keating, Jonathan P.; Schomerus, H.
2
2000
Pseudo-symmetries of Anosov maps and spectral statistics. Zbl 1101.81329
Keating, Jonathan P.; Mezzadri, F.
2
2000
Summability of alternating gap series. Zbl 0949.40016
Keating, Jonathan P.; Reade, J. B.
1
2000
The Riemann zeros and eigenvalue asymptotics. Zbl 0928.11036
Berry, M. V.; Keating, Jonathan P.
67
1999
Two-point spectral correlations for star graphs. Zbl 0946.81025
Berkolaiko, G.; Keating, Jonathan P.
11
1999
Quantum boundary conditions for torus maps. Zbl 0984.81048
Keating, Jonathan P.; Mezzadri, F.; Robbins, J. M.
2
1999
Supersymmetry and trace formulae. Chaos and disorder. Proceedings of a NATO ASI, Cambridge, UK, September 8–20, 1997. Zbl 1305.81012
1
1999
Orbit bifurcations and spectral statistics. Zbl 1001.81519
Berry, M. V.; Keating, Jonathan P.; Prado, S. D.
2
1998
Two-point spectral correlations for the square billiard. Zbl 0932.37022
Connors, R. D.; Keating, Jonathan P.
3
1997
Discrete symmetries and spectral statistics. Zbl 1042.81541
Keating, Jonathan P.; Robbins, J. M.
2
1997
Gutzwiller’s trace formula and spectral statistics: beyond the diagonal approximation. Zbl 1182.81034
Bogomolny, E. B.; Keating, J. P.
31
1996
Random matrix theory and the Riemann zeros. II: \(n\)-point correlations. Zbl 0898.60107
Bogomolny, E. B.; Keating, Jonathan P.
27
1996
Random matrix theory and the Riemann zeros. I: Three- and four-point correlations. Zbl 0834.60105
Bogomolny, E. B.; Keating, Jonathan P.
25
1995
Semiclassical asymptotics of perturbed cat maps. Zbl 0842.58062
Boasman, P. A.; Keating, Jonathan P.
1
1995
Optical realization of the baker’s transformation. Zbl 0803.58025
Hannay, J. H.; Keating, Jonathan P.; Ozorio de Almeida, A. M.
8
1994
Persistent current flux correlations calculated by quantum chaology. Zbl 0843.58088
Berry, M. V.; Keating, Jonathan P.
5
1994
Calculation of spectral determinants. Zbl 0827.11034
Keating, Jonathan P.; Sieber, M.
1
1994
Semiclassical theory of magnetization for a two-dimensional non-interacting electron gas. Zbl 0844.58071
Prado, S. D.; de Aguiar, M. A. M.; Keating, Jonathan P.; de Carvalho, R. Egydio
1
1994
Long-time divergence of semiclassical form-factors. Zbl 0848.58038
Keating, Jonathan P.
1
1994
Correlations in the actions of periodic orbits derived from quantum chaos. Zbl 0972.81543
Argaman, N.; Dittes, F. M.; Doron, E.; Keating, J. P.; Kitaev, A. Yu.; Sieber, M.; Smilansky, U.
9
1993
A new asymptotic representation for \(\zeta(\tfrac12+it)\) and quantum spectral determinants. Zbl 0776.11048
Berry, M. V.; Keating, Jonathan P.
26
1992
Periodic orbit resummation and the quantization of chaos. Zbl 0820.58057
Keating, Jonathan P.
6
1992
...and 6 more Documents
all top 5

Cited by 888 Authors

40 Keating, Jonathan Peter
19 Andrade, Julio Cesar
15 Conrey, John Brian
15 Fyodorov, Yan V.
13 Miller, Steven J.
11 Forrester, Peter J.
11 Jung, Hwanyup
11 Rubinstein, Michael O.
10 Snaith, Nina Claire
9 Najnudel, Joseph
9 Soundararajan, Kannan
8 Bourgade, Paul
8 Nikeghbali, Ashkan
8 Rodgers, Brad
8 Rudnick, Zeév
8 Smilansky, Uzy
8 Strahov, Eugene
7 Bui, Hung Manh
7 Farmer, David W.
7 Gorodetsky, Ofir
7 Webb, Christian
7 Young, Matthew P.
6 Bary-Soroker, Lior
6 Florea, Alexandra M.
6 Gonek, Steven M.
6 Its, Alexander Rudolfovich
6 Radziwiłł, Maksym
6 Ueberschär, Henrik
5 Bae, Sunghan
5 Bettin, Sandro
5 Bolte, Jens
5 Djanković, Goran
5 Đokić, Dragan
5 Hiary, Ghaith Ayesh
5 Hughes, C. P.
5 Korepin, Vladimir E.
5 Kurlberg, Pär
5 Lambert, Gaultier
5 LeClair, André
5 Mezzadri, Francesco
5 Ostrovskii, Dmitrii M.
5 Roditty-Gershon, Edva
5 Saraceno, Marcos
5 Yang, Chuanfu
4 Adami, Riccardo
4 Anantharaman, Nalini
4 Arguin, Louis-Pierre
4 Bailey, E. C.
4 Baluyot, Siegfred Alan C.
4 Berkolaiko, Gregory
4 Bondarenko, Natalia P.
4 Cacciapuoti, Claudio
4 Chandee, Vorrapan
4 Cvitanović, Predrag
4 Exner, Pavel
4 Hall, Richard R.
4 Heap, Winston P.
4 Huynh, Duc Khiem
4 Ivić, Aleksandar
4 Kostenko, Aleksey S.
4 Kösters, Holger
4 Liu, Dangzheng
4 Saksman, Eero
4 Sarnak, Peter Clive
4 Sawin, William F.
4 Schleich, Wolfgang P.
4 Sierra, Germán
4 Turnage-Butterbaugh, Caroline L.
4 Weder, Ricardo A.
4 Zaharescu, Alexandru
4 Zeindler, Dirk
3 Agam, Oded
3 Assiotis, Theodoros
3 Balkanova, Ol’ga Germanovna
3 Bank, Efrat
3 Barrett, Owen
3 Booker, Andrew R.
3 Dahlqvist, Per
3 David, Chantal
3 Deift, Percy A.
3 Dutta, Parikshit
3 Dutta, Suvankar
3 Feiler, C.
3 Fiorilli, Daniel
3 Frolenkov, Dmitriĭ Andreevich
3 Fulman, Jason E.
3 Gamburd, Alexander
3 Götze, Friedrich
3 Humphries, Peter J.
3 Katz, Nicholas Michael
3 Krasovsky, Igor V.
3 Lakaev, Shukhrat Saidakhmatovich
3 Le Boudec, Pierre
3 Le Doussal, Pierre
3 Lelas, Nikola
3 Lester, Stephen J.
3 Li, Xiannan
3 Maciążek, Tomasz
3 Malamud, Mark M.
3 Milinovich, Micah B.
...and 788 more Authors
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Cited in 195 Serials

49 Communications in Mathematical Physics
46 Journal of Number Theory
41 Journal of Mathematical Physics
24 Journal of Statistical Physics
21 Chaos
19 International Journal of Number Theory
14 Duke Mathematical Journal
14 Annales Henri Poincaré
14 Journal of Physics A: Mathematical and Theoretical
12 Journal of Mathematical Analysis and Applications
12 Bulletin of the American Mathematical Society. New Series
11 Transactions of the American Mathematical Society
10 The Annals of Probability
10 Journal of Statistical Mechanics: Theory and Experiment
9 Mathematics of Computation
9 Probability Theory and Related Fields
9 Finite Fields and their Applications
8 Nuclear Physics. B
8 Proceedings of the American Mathematical Society
8 Physical Review Letters
8 Research in Number Theory
7 International Journal of Modern Physics A
7 Chaos, Solitons and Fractals
7 Mathematische Annalen
7 Mathematika
7 New Journal of Physics
7 Random Matrices: Theory and Applications
6 Letters in Mathematical Physics
6 Journal of Approximation Theory
6 Physica D
6 Journal of Theoretical Probability
6 Journal de Théorie des Nombres de Bordeaux
6 Journal of High Energy Physics
6 Algebra & Number Theory
5 Nonlinearity
5 Advances in Mathematics
5 Functiones et Approximatio. Commentarii Mathematici
5 Journal of Computational and Applied Mathematics
5 Mathematische Zeitschrift
5 Forum Mathematicum
5 Geometric and Functional Analysis. GAFA
5 Experimental Mathematics
5 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Annals of Mathematics. Second Series
5 Journal of the European Mathematical Society (JEMS)
5 Research in the Mathematical Sciences
4 Communications on Pure and Applied Mathematics
4 Acta Arithmetica
4 Integral Equations and Operator Theory
4 Inventiones Mathematicae
4 The Ramanujan Journal
3 International Journal of Theoretical Physics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Physics Reports
3 Theoretical and Mathematical Physics
3 Annales de l’Institut Fourier
3 Journal of Functional Analysis
3 Journal of the London Mathematical Society. Second Series
3 Monatshefte für Mathematik
3 Results in Mathematics
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3 Electronic Journal of Probability
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3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 LMS Journal of Computation and Mathematics
3 Milan Journal of Mathematics
3 International Journal of Geometric Methods in Modern Physics
3 Advances in Mathematical Physics
3 Philosophical Transactions A. Royal Society of London
2 International Journal of Modern Physics B
2 Israel Journal of Mathematics
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2 Memoirs of the American Mathematical Society
2 Theoretical Computer Science
2 Statistics & Probability Letters
2 The Annals of Applied Probability
2 Annals of Physics
2 Linear Algebra and its Applications
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Russian Journal of Mathematical Physics
2 Journal of Inverse and Ill-Posed Problems
2 Mathematical Physics, Analysis and Geometry
2 Central European Journal of Mathematics
2 Quantum Information Processing
2 Proceedings of the Steklov Institute of Mathematics
2 Physical Review A, Third Series
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Forum of Mathematics, Sigma
1 Modern Physics Letters A
1 Modern Physics Letters B
1 American Mathematical Monthly
1 Applicable Analysis
...and 95 more Serials
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Cited in 51 Fields

362 Number theory (11-XX)
219 Quantum theory (81-XX)
145 Probability theory and stochastic processes (60-XX)
118 Linear and multilinear algebra; matrix theory (15-XX)
87 Statistical mechanics, structure of matter (82-XX)
67 Dynamical systems and ergodic theory (37-XX)
53 Partial differential equations (35-XX)
40 Algebraic geometry (14-XX)
39 Combinatorics (05-XX)
38 Ordinary differential equations (34-XX)
34 Special functions (33-XX)
30 Operator theory (47-XX)
28 Global analysis, analysis on manifolds (58-XX)
18 Functions of a complex variable (30-XX)
16 Statistics (62-XX)
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12 Functional analysis (46-XX)
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