Edit Profile (opens in new tab) Keating, Jonathan Peter Compute Distance To: Compute Author ID: keating.jonathan-p Published as: Keating, Jonathan P.; Keating, J. P.; Keating, Jonathan; Keating, Jon P.; Keating, Jon more...less Homepage: https://jpkeating.wordpress.com/ External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 129 Publications since 1986 2 Contributions as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 81 Co-Authors with 109 Joint Publications 1,630 Co-Co-Authors all top 5 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 all top 5 Fields 66 Number theory (11-XX) 60 Quantum theory (81-XX) 29 Statistical mechanics, structure of matter (82-XX) 25 Linear and multilinear algebra; matrix theory (15-XX) 22 Dynamical systems and ergodic theory (37-XX) 13 Probability theory and stochastic processes (60-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Special functions (33-XX) 5 Partial differential equations (35-XX) 4 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 4 Ordinary differential equations (34-XX) 3 General and overarching topics; collections (00-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Sequences, series, summability (40-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications 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 1051.11048Keating, Jonathan P.; Snaith, Nina C. 210 2000 Integral moments of \(L\)-functions. Zbl 1075.11058Conrey, 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 1051.11047Keating, Jonathan P.; Snaith, Nina C. 89 2000 The Riemann zeros and eigenvalue asymptotics. Zbl 0928.11036Berry, M. V.; Keating, Jonathan P. 67 1999 The Pitman nearness criterion and its determination. Zbl 0615.62031Rao, C. R.; Keating, J. P.; Mason, Robert L. 66 1986 On the characteristic polynomial of a random unitary matrix. Zbl 0987.60039Hughes, 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 1330.82028Fyodorov, 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 1090.11055Conrey, J. B.; Farmer, D. W.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, Nina C. 39 2003 A rule for quantizing chaos? Zbl 0715.58043Berry, M. V.; Keating, J. P. 33 1990 Gutzwiller’s trace formula and spectral statistics: beyond the diagonal approximation. Zbl 1182.81034Bogomolny, E. B.; Keating, J. P. 31 1996 A hybrid Euler-Hadamard product for the Riemann zeta function. Zbl 1171.11049Gonek, S. M.; Hughes, C. P.; Keating, Jonathan P. 30 2007 Random matrix theory and the derivative of the Riemann zeta function. Zbl 0996.11052Hughes, C. P.; Keating, Jonathan P.; O’Connell, Neil 29 2000 Random matrix theory and the Riemann zeros. II: \(n\)-point correlations. Zbl 0898.60107Bogomolny, E. B.; Keating, Jonathan P. 27 1996 The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble. Zbl 1278.11082Andrade, J. C.; Keating, J. P. 27 2012 Random matrix theory and entanglement in quantum spin chains. Zbl 1124.82009Keating, J. P.; Mezzadri, F. 27 2004 The variance of the number of prime polynomials in short intervals and in residue classes. Zbl 1319.11084Keating, Jonathan P.; Rudnick, Zeév 26 2014 A new asymptotic representation for \(\zeta(\tfrac12+it)\) and quantum spectral determinants. Zbl 0776.11048Berry, M. V.; Keating, Jonathan P. 26 1992 Random matrix theory and the Riemann zeros. I: Three- and four-point correlations. Zbl 0834.60105Bogomolny, E. B.; Keating, Jonathan P. 25 1995 Random matrices and \(L\)-functions. Zbl 1074.11053Keating, J. P.; Snaith, N. C. 24 2003 Lower order terms in the full moment conjecture for the Riemann zeta function. Zbl 1141.11040Conrey, 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 1430.11137Keating, J. P.; Rodgers, B.; Roditty-Gershon, E.; Rudnick, Z. 18 2018 The cat maps: Quantum mechanics and classical motion. Zbl 0726.58037Keating, J. P. 18 1991 Conjectures for the integral moments and ratios of \(L\)-functions over function fields. Zbl 1318.11083Andrade, J. C.; Keating, J. P. 17 2014 Star graphs and Šeba billiards. Zbl 1058.81021Berkolaiko, G.; Bogomolny, E. B.; Keating, Jonathan P. 16 2001 No quantum ergodicity for star graphs. Zbl 1059.81066Berkolaiko, G.; Keating, J. P.; Winn, B. 15 2004 On the frequency of vanishing of quadratic twists of modular \(L\)-functions. Zbl 1044.11035Conrey, J. B.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, Nina C. 14 2002 Asymptotic properties of the periodic orbits of the cat maps. Zbl 0726.58036Keating, J. P. 14 1991 Mean value theorems for \(L\)-functions over prime polynomials for the rational function field. Zbl 1286.11097Andrade, Julio C.; Keating, Jonathan P. 13 2013 Squarefree polynomials and Möbius values in short intervals and arithmetic progressions. Zbl 1391.11156Keating, Jonathan P.; Rudnick, Zeev 13 2016 Moments of zeta and correlations of divisor-sums. II. Zbl 1382.11052Conrey, Brian; Keating, Jonathan P. 12 2015 Spectra and eigenstates of spin chain Hamiltonians. Zbl 1318.81022Keating, J. P.; Linden, N.; Wells, H. J. 12 2015 Two-point spectral correlations for star graphs. Zbl 0946.81025Berkolaiko, G.; Keating, Jonathan P. 11 1999 Lower order terms for the one-level density of elliptic curve \(L\)-functions. Zbl 1205.11077Huynh, D. K.; Keating, Jonathan P.; Snaith, N. C. 11 2009 Value distribution of the eigenfunctions and spectral determinants of quantum star graphs. Zbl 1098.81034Keating, Jonathan P.; Marklof, J.; Winn, B. 10 2003 Moments of zeta and correlations of divisor-sums. IV. Zbl 1411.11074Conrey, Brian; Keating, Jonathan P. 10 2016 Random matrix theory and the Fourier coefficients of half-integral weight forms. Zbl 1144.11035Conrey, J. B.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, N. C. 10 2006 Moments of zeta and correlations of divisor-sums. I. Zbl 1383.11098Conrey, Brian; Keating, Jonathan P. 10 2015 Random matrix theory, the exceptional Lie groups and \(L\)-functions. Zbl 1074.11052Keating, J. P.; Linden, N.; Rudnick, Z. 9 2003 Correlations in the actions of periodic orbits derived from quantum chaos. Zbl 0972.81543Argaman, 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 1087.82012Forrester, P. J.; Keating, J. P. 9 2004 On the mean values of \(L\)-functions in orthogonal and symplectic families. Zbl 1220.11099Bui, H. M.; Keating, Jonathan P. 9 2008 A compact Hamiltonian with the same asymptotic mean spectral density as the Riemann zeros. Zbl 1222.81172Berry, M. V.; Keating, J. P. 9 2011 Eigenfunction statistics on quantum graphs. Zbl 1206.81043Gnutzmann, S.; Keating, J. P.; Piotet, F. 9 2010 Optical realization of the baker’s transformation. Zbl 0803.58025Hannay, J. H.; Keating, Jonathan P.; Ozorio de Almeida, A. M. 8 1994 Moments of zeta and correlations of divisor-sums. III. Zbl 1332.11079Conrey, Brian; Keating, Jonathan P. 8 2015 Symmetry transitions in random matrix theory & \(L\)-functions. Zbl 1170.11029Keating, Jonathan P.; Odgers, B. E. 8 2008 Quantum ergodicity for graphs related to interval maps. Zbl 1122.81037Berkolaiko, G.; Keating, Jonathan P.; Smilansky, U. 8 2007 Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations. Zbl 1049.82035Fyodorov, Yan V.; Keating, Jonathan P. 7 2003 \(n\)-particle quantum statistics on graphs. Zbl 1294.81049Harrison, Jon M.; Keating, J. P.; Robbins, J. M.; Sawicki, A. 7 2014 Quantum chaos, random matrix theory, and the Riemann \(\zeta\)-function. Zbl 1335.81082Bourgade, Paul; Keating, Jonathan P. 7 2013 What is the probability that a random integral quadratic form in \(n\) variables has an integral zero? Zbl 1404.11035Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P. 6 2016 On the mean values of Dirichlet \(L\)-functions. Zbl 1129.11034Bui, H. M.; Keating, Jonathan P. 6 2007 Extreme values of CUE characteristic polynomials: a numerical study. Zbl 1411.15026Fyodorov, Yan V.; Gnutzmann, Sven; Keating, Jonathan P. 6 2018 Orbit bifurcations and the scarring of wave functions. Zbl 0990.81036Keating, Jonathan P.; Prado, S. D. 6 2001 Periodic orbit resummation and the quantization of chaos. Zbl 0820.58057Keating, Jonathan P. 6 1992 Quantum statistics on graphs. Zbl 1219.82060Harrison, 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 1423.60013Bailey, E. C.; Keating, J. P. 6 2019 Vladimir A. Geyler, April 29, 1943–April 2, 2007. Zbl 1190.01017Exner, Pavel; Keating, Jonathan P.; Kuchment, Peter; Sunada, Toshikazu; Teplyaev, Alexander 5 2008 Persistent current flux correlations calculated by quantum chaology. Zbl 0843.58088Berry, M. V.; Keating, Jonathan P. 5 1994 Clusters of near-degenerate levels dominate negative moments of spectral determinants. Zbl 1012.81015Berry, M. V.; Keating, Jonathan P. 5 2002 Localized eigenfunctions in Šeba billiards. Zbl 1311.81115Keating, J. P.; Marklof, J.; Winn, B. 5 2010 Arithmetic correlations over large finite fields. Zbl 1359.11091Keating, 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 1272.81073Bogomolny, E.; Keating, J. P. 4 2013 A random matrix model for elliptic curve \(L\)-functions of finite conductor. Zbl 1292.11101Dueñez, E.; Huynh, D. K.; Keating, J. P.; Miller, S. J.; Snaith, N. C. 4 2012 Detecting squarefree numbers. Zbl 1395.11139Booker, 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 1359.11076Bui, 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 1423.60014Basor, 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 0932.37022Connors, R. D.; Keating, Jonathan P. 3 1997 Moments of zeta and correlations of divisor-sums: V. Zbl 1444.11166Conrey, Brian; Keating, Jonathan P. 3 2019 Two-point correlation function for Dirichlet \(L\)-functions. Zbl 1304.11089Bogomolny, E.; Keating, J. P. 3 2013 Pair correlation and twin primes revisited. Zbl 1407.11109Conrey, Brian; Keating, Jonathan P. 3 2016 Semiclassical properties of the cat maps. Zbl 0709.58024Keating, J. P. 3 1990 The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI. Zbl 1206.34113Dueñez, E.; Huynh, D. K.; Keating, J. P.; Miller, S. J.; Snaith, N. C. 3 2010 Mean values of finite Euler products. Zbl 1215.11080Gonek, S. M.; Keating, J. P. 3 2010 Discrete symmetries and spectral statistics. Zbl 1042.81541Keating, Jonathan P.; Robbins, J. M. 2 1997 Averages of ratios of the Riemann zeta-function and correlations of divisor sums. Zbl 1427.11085Conrey, Brian; Keating, Jonathan P. 2 2017 Resummation and the semiclassical theory of spectral statistics. Zbl 1140.81400Keating, Jonathan P.; Müller, Sebastian 2 2007 On the resonance eigenstates of an open quantum baker map. Zbl 1158.35319Keating, Jonathan P.; Nonnenmacher, S.; Novaes, M.; Sieber, M. 2 2008 Universal twinkling exponents for spectral fluctuations associated with mixed chaology. Zbl 0967.81025Berry, M. V.; Keating, Jonathan P.; Schomerus, H. 2 2000 On twin primes associated with the Hawkins random sieve. Zbl 1135.11048Bui, H. M.; Keating, J. P. 2 2006 Pseudo-symmetries of Anosov maps and spectral statistics. Zbl 1101.81329Keating, Jonathan P.; Mezzadri, F. 2 2000 The semiclassical functional equation. Zbl 1055.81553Keating, Jonathan 2 1992 Quantum boundary conditions for torus maps. Zbl 0984.81048Keating, Jonathan P.; Mezzadri, F.; Robbins, J. M. 2 1999 Orbit bifurcations and spectral statistics. Zbl 1001.81519Berry, M. V.; Keating, Jonathan P.; Prado, S. D. 2 1998 On relations between one-dimensional quantum and two-dimensional classical spin systems. Zbl 1341.82014Hutchinson, J.; Keating, J. P.; Mezzadri, F. 2 2015 Random matrices and number theory: some recent themes. Zbl 1386.15070Keating, Jon P. 2 2017 Rate of convergence of linear functions on the unitary group. Zbl 1210.15038Keating, Jonathan P.; Mezzadri, F.; Singphu, B. 2 2011 Quantum graphs and quantum chaos. Zbl 1153.81501Keating, Jonathan P. 1 2008 Orbit bifurcations and quantum fluctuation statistics. Zbl 1043.81025Keating, J. P. 1 2003 Moments of quadratic twists of elliptic curve \(L\)-functions over function fields. Zbl 1466.11056Bui, 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 1464.11134Hall, Chris; Keating, Jonathan P.; Roditty-Gershon, Edva 1 2019 Moments of moments and branching random walks. Zbl 1454.60130Bailey, E. C.; Keating, J. P. 1 2021 A new correlator in quantum spin chains. Zbl 1122.82009Keating, J. P.; Mezzadri, F.; Novaes, M. 1 2006 Calculation of spectral determinants. Zbl 0827.11034Keating, Jonathan P.; Sieber, M. 1 1994 Summability of alternating gap series. Zbl 0949.40016Keating, Jonathan P.; Reade, J. B. 1 2000 Semiclassical asymptotics of perturbed cat maps. Zbl 0842.58062Boasman, P. A.; Keating, Jonathan P. 1 1995 Semiclassical theory of magnetization for a two-dimensional non-interacting electron gas. Zbl 0844.58071Prado, S. D.; de Aguiar, M. A. M.; Keating, Jonathan P.; de Carvalho, R. Egydio 1 1994 Long-time divergence of semiclassical form-factors. Zbl 0848.58038Keating, Jonathan P. 1 1994 Truncated product representations for \(L\)-functions in the hyperelliptic ensemble. Zbl 1428.11117Andrade, J. C.; Gonek, S. M.; Keating, J. P. 1 2018 Moments of moments and branching random walks. Zbl 1454.60130Bailey, E. C.; Keating, J. P. 1 2021 The loss surfaces of neural networks with general activation functions. Zbl 07398345Baskerville, 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 1482.15035Assiotis, Theodoros; Keating, Jonathan P. 1 2021 Moments of quadratic twists of elliptic curve \(L\)-functions over function fields. Zbl 1466.11056Bui, 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 1423.60013Bailey, E. C.; Keating, J. P. 6 2019 A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions. Zbl 1423.60014Basor, 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 1444.11166Conrey, Brian; Keating, Jonathan P. 3 2019 Variance of arithmetic sums and \(L\)-functions in \(\mathbb F_q[t]\). Zbl 1464.11134Hall, Chris; Keating, Jonathan P.; Roditty-Gershon, Edva 1 2019 Sums of divisor functions in \(\mathbb {F}_q[t]\) and matrix integrals. Zbl 1430.11137Keating, J. P.; Rodgers, B.; Roditty-Gershon, E.; Rudnick, Z. 18 2018 Extreme values of CUE characteristic polynomials: a numerical study. Zbl 1411.15026Fyodorov, Yan V.; Gnutzmann, Sven; Keating, Jonathan P. 6 2018 Truncated product representations for \(L\)-functions in the hyperelliptic ensemble. Zbl 1428.11117Andrade, J. C.; Gonek, S. M.; Keating, J. P. 1 2018 Averages of ratios of the Riemann zeta-function and correlations of divisor sums. Zbl 1427.11085Conrey, Brian; Keating, Jonathan P. 2 2017 Random matrices and number theory: some recent themes. Zbl 1386.15070Keating, Jon P. 2 2017 Squarefree polynomials and Möbius values in short intervals and arithmetic progressions. Zbl 1391.11156Keating, Jonathan P.; Rudnick, Zeev 13 2016 Moments of zeta and correlations of divisor-sums. IV. Zbl 1411.11074Conrey, Brian; Keating, Jonathan P. 10 2016 What is the probability that a random integral quadratic form in \(n\) variables has an integral zero? Zbl 1404.11035Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P. 6 2016 Arithmetic correlations over large finite fields. Zbl 1359.11091Keating, 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 1359.11076Bui, H. M.; Keating, J. P.; Smith, D. J. 4 2016 Pair correlation and twin primes revisited. Zbl 1407.11109Conrey, Brian; Keating, Jonathan P. 3 2016 Moments of zeta and correlations of divisor-sums. II. Zbl 1382.11052Conrey, Brian; Keating, Jonathan P. 12 2015 Spectra and eigenstates of spin chain Hamiltonians. Zbl 1318.81022Keating, J. P.; Linden, N.; Wells, H. J. 12 2015 Moments of zeta and correlations of divisor-sums. I. Zbl 1383.11098Conrey, Brian; Keating, Jonathan P. 10 2015 Moments of zeta and correlations of divisor-sums. III. Zbl 1332.11079Conrey, Brian; Keating, Jonathan P. 8 2015 Detecting squarefree numbers. Zbl 1395.11139Booker, Andrew R.; Hiary, Ghaith A.; Keating, Jon P. 4 2015 On relations between one-dimensional quantum and two-dimensional classical spin systems. Zbl 1341.82014Hutchinson, J.; Keating, J. P.; Mezzadri, F. 2 2015 Number fields and function fields: coalescences, contrasts and emerging applications. Zbl 1353.11098Keating, 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 1330.82028Fyodorov, Yan V.; Keating, Jonathan P. 48 2014 The variance of the number of prime polynomials in short intervals and in residue classes. Zbl 1319.11084Keating, Jonathan P.; Rudnick, Zeév 26 2014 Conjectures for the integral moments and ratios of \(L\)-functions over function fields. Zbl 1318.11083Andrade, J. C.; Keating, J. P. 17 2014 \(n\)-particle quantum statistics on graphs. Zbl 1294.81049Harrison, 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 1286.11097Andrade, Julio C.; Keating, Jonathan P. 13 2013 Quantum chaos, random matrix theory, and the Riemann \(\zeta\)-function. Zbl 1335.81082Bourgade, 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 1272.81073Bogomolny, E.; Keating, J. P. 4 2013 Two-point correlation function for Dirichlet \(L\)-functions. Zbl 1304.11089Bogomolny, E.; Keating, J. P. 3 2013 The mean value of \(L(\frac{1}{2}, \chi)\) in the hyperelliptic ensemble. Zbl 1278.11082Andrade, J. C.; Keating, J. P. 27 2012 A random matrix model for elliptic curve \(L\)-functions of finite conductor. Zbl 1292.11101Dueñez, 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 1222.81172Berry, M. V.; Keating, J. P. 9 2011 Quantum statistics on graphs. Zbl 1219.82060Harrison, Jon M.; Keating, J. P.; Robbins, J. M. 6 2011 Rate of convergence of linear functions on the unitary group. Zbl 1210.15038Keating, Jonathan P.; Mezzadri, F.; Singphu, B. 2 2011 Number theory. Zbl 1292.11102Keating, J. P.; Snaith, N. C. 1 2011 Eigenfunction statistics on quantum graphs. Zbl 1206.81043Gnutzmann, S.; Keating, J. P.; Piotet, F. 9 2010 Localized eigenfunctions in Šeba billiards. Zbl 1311.81115Keating, J. P.; Marklof, J.; Winn, B. 5 2010 The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI. Zbl 1206.34113Dueñez, E.; Huynh, D. K.; Keating, J. P.; Miller, S. J.; Snaith, N. C. 3 2010 Mean values of finite Euler products. Zbl 1215.11080Gonek, S. M.; Keating, J. P. 3 2010 Lower order terms for the one-level density of elliptic curve \(L\)-functions. Zbl 1205.11077Huynh, 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 1141.11040Conrey, 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 1220.11099Bui, H. M.; Keating, Jonathan P. 9 2008 Symmetry transitions in random matrix theory & \(L\)-functions. Zbl 1170.11029Keating, Jonathan P.; Odgers, B. E. 8 2008 Vladimir A. Geyler, April 29, 1943–April 2, 2007. Zbl 1190.01017Exner, Pavel; Keating, Jonathan P.; Kuchment, Peter; Sunada, Toshikazu; Teplyaev, Alexander 5 2008 On the resonance eigenstates of an open quantum baker map. Zbl 1158.35319Keating, Jonathan P.; Nonnenmacher, S.; Novaes, M.; Sieber, M. 2 2008 Quantum graphs and quantum chaos. Zbl 1153.81501Keating, Jonathan P. 1 2008 A hybrid Euler-Hadamard product for the Riemann zeta function. Zbl 1171.11049Gonek, S. M.; Hughes, C. P.; Keating, Jonathan P. 30 2007 Quantum ergodicity for graphs related to interval maps. Zbl 1122.81037Berkolaiko, G.; Keating, Jonathan P.; Smilansky, U. 8 2007 On the mean values of Dirichlet \(L\)-functions. Zbl 1129.11034Bui, H. M.; Keating, Jonathan P. 6 2007 Resummation and the semiclassical theory of spectral statistics. Zbl 1140.81400Keating, Jonathan P.; Müller, Sebastian 2 2007 Random matrix theory and the Fourier coefficients of half-integral weight forms. Zbl 1144.11035Conrey, J. B.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, N. C. 10 2006 On twin primes associated with the Hawkins random sieve. Zbl 1135.11048Bui, H. M.; Keating, J. P. 2 2006 A new correlator in quantum spin chains. Zbl 1122.82009Keating, J. P.; Mezzadri, F.; Novaes, M. 1 2006 Random matrices and number theory. Zbl 1136.11331Keating, Jonathan P. 1 2006 Integral moments of \(L\)-functions. Zbl 1075.11058Conrey, 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 1124.82009Keating, J. P.; Mezzadri, F. 27 2004 No quantum ergodicity for star graphs. Zbl 1059.81066Berkolaiko, G.; Keating, J. P.; Winn, B. 15 2004 Singularity dominated strong fluctuations for some random matrix averages. Zbl 1087.82012Forrester, P. J.; Keating, J. P. 9 2004 Autocorrelation of random matrix polynomials. Zbl 1090.11055Conrey, J. B.; Farmer, D. W.; Keating, Jonathan P.; Rubinstein, M. O.; Snaith, Nina C. 39 2003 Random matrices and \(L\)-functions. Zbl 1074.11053Keating, J. P.; Snaith, N. C. 24 2003 Value distribution of the eigenfunctions and spectral determinants of quantum star graphs. Zbl 1098.81034Keating, Jonathan P.; Marklof, J.; Winn, B. 10 2003 Random matrix theory, the exceptional Lie groups and \(L\)-functions. Zbl 1074.11052Keating, J. P.; Linden, N.; Rudnick, Z. 9 2003 Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations. Zbl 1049.82035Fyodorov, Yan V.; Keating, Jonathan P. 7 2003 Orbit bifurcations and quantum fluctuation statistics. Zbl 1043.81025Keating, J. P. 1 2003 On the frequency of vanishing of quadratic twists of modular \(L\)-functions. Zbl 1044.11035Conrey, 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 1012.81015Berry, M. V.; Keating, Jonathan P. 5 2002 On the characteristic polynomial of a random unitary matrix. Zbl 0987.60039Hughes, C. P.; Keating, Jonathan P.; O’Connell, Neil 58 2001 Star graphs and Šeba billiards. Zbl 1058.81021Berkolaiko, G.; Bogomolny, E. B.; Keating, Jonathan P. 16 2001 Orbit bifurcations and the scarring of wave functions. Zbl 0990.81036Keating, Jonathan P.; Prado, S. D. 6 2001 Random matrix theory and \(\zeta(1/2+it)\). Zbl 1051.11048Keating, Jonathan P.; Snaith, Nina C. 210 2000 Random matrix theory and \(L\)-functions at \(s=1/2\). Zbl 1051.11047Keating, Jonathan P.; Snaith, Nina C. 89 2000 Random matrix theory and the derivative of the Riemann zeta function. Zbl 0996.11052Hughes, C. P.; Keating, Jonathan P.; O’Connell, Neil 29 2000 Universal twinkling exponents for spectral fluctuations associated with mixed chaology. Zbl 0967.81025Berry, M. V.; Keating, Jonathan P.; Schomerus, H. 2 2000 Pseudo-symmetries of Anosov maps and spectral statistics. Zbl 1101.81329Keating, Jonathan P.; Mezzadri, F. 2 2000 Summability of alternating gap series. Zbl 0949.40016Keating, Jonathan P.; Reade, J. B. 1 2000 The Riemann zeros and eigenvalue asymptotics. Zbl 0928.11036Berry, M. V.; Keating, Jonathan P. 67 1999 Two-point spectral correlations for star graphs. Zbl 0946.81025Berkolaiko, G.; Keating, Jonathan P. 11 1999 Quantum boundary conditions for torus maps. Zbl 0984.81048Keating, 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 1001.81519Berry, M. V.; Keating, Jonathan P.; Prado, S. D. 2 1998 Two-point spectral correlations for the square billiard. Zbl 0932.37022Connors, R. D.; Keating, Jonathan P. 3 1997 Discrete symmetries and spectral statistics. Zbl 1042.81541Keating, Jonathan P.; Robbins, J. M. 2 1997 Gutzwiller’s trace formula and spectral statistics: beyond the diagonal approximation. Zbl 1182.81034Bogomolny, E. B.; Keating, J. P. 31 1996 Random matrix theory and the Riemann zeros. II: \(n\)-point correlations. Zbl 0898.60107Bogomolny, E. B.; Keating, Jonathan P. 27 1996 Random matrix theory and the Riemann zeros. I: Three- and four-point correlations. Zbl 0834.60105Bogomolny, E. B.; Keating, Jonathan P. 25 1995 Semiclassical asymptotics of perturbed cat maps. Zbl 0842.58062Boasman, P. A.; Keating, Jonathan P. 1 1995 Optical realization of the baker’s transformation. Zbl 0803.58025Hannay, J. H.; Keating, Jonathan P.; Ozorio de Almeida, A. M. 8 1994 Persistent current flux correlations calculated by quantum chaology. Zbl 0843.58088Berry, M. V.; Keating, Jonathan P. 5 1994 Calculation of spectral determinants. Zbl 0827.11034Keating, Jonathan P.; Sieber, M. 1 1994 Semiclassical theory of magnetization for a two-dimensional non-interacting electron gas. Zbl 0844.58071Prado, S. D.; de Aguiar, M. A. M.; Keating, Jonathan P.; de Carvalho, R. Egydio 1 1994 Long-time divergence of semiclassical form-factors. Zbl 0848.58038Keating, Jonathan P. 1 1994 Correlations in the actions of periodic orbits derived from quantum chaos. Zbl 0972.81543Argaman, 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 0776.11048Berry, M. V.; Keating, Jonathan P. 26 1992 Periodic orbit resummation and the quantization of chaos. Zbl 0820.58057Keating, Jonathan P. 6 1992 ...and 6 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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Series A 2 Journal of Differential Equations 2 Journal für die Reine und Angewandte Mathematik 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 all top 5 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) 16 Information and communication theory, circuits (94-XX) 13 Topological groups, Lie groups (22-XX) 12 Functional analysis (46-XX) 11 Numerical analysis (65-XX) 10 Differential geometry (53-XX) 9 Group theory and generalizations (20-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Mechanics of particles and systems (70-XX) 9 Relativity and gravitational theory (83-XX) 8 Nonassociative rings and algebras (17-XX) 8 Measure and integration (28-XX) 8 Fluid mechanics (76-XX) 6 Approximations and expansions (41-XX) 5 Difference and functional equations (39-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Real functions (26-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Convex and discrete geometry (52-XX) 4 Computer science (68-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral equations (45-XX) 3 Optics, electromagnetic theory (78-XX) 2 Sequences, series, summability (40-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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