Jonathan Keating

Q: What Schools Are Affiliated With Jonathan Keating

Jonathan Keating is affiliated with the following schools: University of Oxford, University of Bristol, University of Washington

Jonathan Keating's AcademicInfluence.com Rankings

Jonathan Keating

Mathematics

#1733

World Rank

#2779

Historical Rank

Measure Theory

#2182

World Rank

#2627

Historical Rank

mathematics Degrees

Download Badge

Mathematics

Why Is Jonathan Keating Influential?

(Suggest an Edit or Addition)

According to Wikipedia, Jonathan Peter Keating is a British mathematician. As of September 2019, he is the Sedleian Professor of Natural Philosophy at the University of Oxford, and from 2012 to 2019 was the Henry Overton Wills Professor of Mathematics at the University of Bristol, where he served as Dean of the Faculty of Science . He has made contributions to applied mathematics and mathematical physics, in particular to quantum chaos, random matrix theory and number theory.

(See a Problem?)

Jonathan Keating's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Random Matrix Theory and ζ(1/2+it) (2000) (714)
Integral Moments of L‐Functions (2002) (383)
The Riemann Zeros and Eigenvalue Asymptotics (1999) (345)
Random Matrix Theory and L-Functions at s= 1/2 (2000) (327)
Analysis on graphs and its applications (2008) (220)
On the Characteristic Polynomial¶ of a Random Unitary Matrix (2001) (204)
Altruism reconsidered: The effect of denying feedback on a victim's status to empathic witnesses. (1989) (172)
Human crowding and personal control: an integration of the research. (1979) (172)
Freezing transitions and extreme values: random matrix theory, and disordered landscapes (2012) (165)
The cat maps: quantum mechanics and classical motion (1991) (161)
H = xp and the Riemann Zeros (1999) (159)
A rule for quantizing chaos (1990) (152)
Freezing transition, characteristic polynomials of random matrices, and the Riemann zeta function. (2012) (130)
A new asymptotic representation for ζ(½ + it) and quantum spectral determinants (1992) (123)
The evolution of bubble size distributions in volcanic eruptions (2003) (117)
Autocorrelation of Random Matrix Polynomials (2002) (113)
Role and Justice Considerations in the Attribution of Responsibility to a Rape Victim. (1976) (110)
Random matrix theory and the Riemann zeros II: n -point correlations (1996) (109)
Supersymmetry and trace formulae : chaos and disorder (1999) (108)
Random Matrix Theory and Entanglement in Quantum Spin Chains (2004) (104)
Random matrix theory and the derivative of the Riemann zeta function (2000) (103)
Random matrices and L-functions (2003) (100)
Asymptotic properties of the periodic orbits of the cat maps (1991) (92)
Inferring volcanic degassing processes from vesicle size distributions (2001) (89)
On the frequency of vanishing of quadratic twists of modular L-functions (2000) (85)
Localization and its consequences for quantum walk algorithms and quantum communication (2006) (84)
A hybrid Euler-Hadamard product for the Riemann zeta function (2007) (83)
Entanglement in quantum spin chains, symmetry classes of random matrices, and conformal field theory. (2005) (83)
Star graphs and Seba billiards (2001) (79)
The variance of the number of prime polynomials in short intervals and in residue classes (2012) (75)
Spectra and Eigenstates of Spin Chain Hamiltonians (2014) (70)
Mood and persuasion: Evidence for the differential influence of positive and negative states (1990) (70)
Two-point spectral correlations for star graphs (1999) (69)
Recent Perspectives in Random Matrix Theory and Number Theory (2005) (68)
Semiclassical structure of chaotic resonance eigenfunctions. (2006) (67)
Acceptance of persuasion and the inhibition of counterargumentation under various distraction tasks (1974) (64)
Proceedings of the Tenth Marcel Grossmann Meeting on General Relativity (2006) (62)
Random matrix theory and the Riemann zeros. I. Three- and four-point correlations (1995) (61)
The Riemann Zeta-Function and Quantum Chaology (1993) (56)
The mean value of L(12,χ) in the hyperelliptic ensemble (2012) (54)
No Quantum Ergodicity for Star Graphs (2003) (54)
Conjectures for the integral moments and ratios of L-functions over function fields (2014) (53)
Pseudo-symmetries of Anosov maps and spectral statistics (2000) (49)
Eigenfunction Statistics on Quantum Graphs (2010) (45)
Quantum boundary conditions for torus maps (1999) (45)
Moments of zeta and correlations of divisor-sums: IV (2015) (44)
Value Distribution of the Eigenfunctions and Spectral Determinants of Quantum Star Graphs (2002) (43)
Freezing transitions and extreme values: random matrix theory, ζ ( 12 + i t ) and disordered landscapes (2013) (43)
Periodic orbit resummation and the quantization of chaos (1992) (41)
Politicians on TV: The Image Is the Message (1976) (39)
Orbit bifurcations and the scarring of wave functions (2000) (39)
Universal quantum signature of mixed dynamics in antidot lattices (2005) (39)
Quantum statistics on graphs (2011) (39)
Lower order terms in the full moment conjecture for the Riemann zeta function (2006) (38)
Squarefree polynomials and Mobius values in short intervals and arithmetic progressions (2015) (38)
Resummation and the semiclassical theory of spectral statistics (2007) (37)
Random Matrix Theory and the Fourier Coefficients of Half-Integral-Weight Forms (2004) (36)
Semiclassical asymptotics of perturbed cat maps (1995) (34)
Persistent current flux correlations calculated by quantum chaology (1994) (34)
Singularity Dominated Strong Fluctuations for Some Random Matrix Averages (2004) (34)
A compact hamiltonian with the same asymptotic mean spectral density as the Riemann zeros (2011) (32)
Intermediate wave function statistics. (2003) (32)
Fields Institute Communications (2015) (31)
The Effects of Mandatory Time Limits in the Voting Booth on Liberal‐conservative Voting Patterns (1974) (30)
On the resonance eigenstates of an open quantum baker map (2008) (30)
Nodal domain statistics for quantum maps, percolation, and stochastic Loewner evolution. (2006) (29)
Optical realization of the baker's transformation (1994) (29)
A Hybrid Euler-Hadamard product formula for the Riemann zeta function (2005) (29)
Quantum Chaos, Random Matrix Theory, and the Riemann ζ-function (2013) (29)
On the Moments of the Moments of the Characteristic Polynomials of Random Unitary Matrices (2018) (29)
Discrete symmetries and spectral statistics (1997) (29)
Random matrix theory, the exceptional Lie groups and L-functions (2002) (28)
Sums of divisor functions in $$\mathbb {F}_q[t]$$Fq[t] and matrix integrals (2015) (27)
Orbit bifurcations and spectral statistics (1998) (26)
Quantum Ergodicity for Graphs Related to Interval Maps (2006) (26)
Supersymmetry and Trace Formulae (1999) (26)
On the mean values of Dirichlet L‐functions (2006) (25)
Calculation of spectral determinants (1994) (25)
Quantum chaotic resonances from short periodic orbits. (2009) (25)
Mean Value Theorems for L-functions over Prime Polynomials for the Rational Function Field (2013) (24)
Measuring androcentrism in the Western god-concept. (1992) (24)
Lower order terms for the one-level density of elliptic curve L-functions☆ (2008) (23)
On the mean values of L‐functions in orthogonal and symplectic families (2006) (23)
n-Particle Quantum Statistics on Graphs (2013) (23)
Random matrices and quantum spin chains (2014) (23)
What is the probability that a random integral quadratic form in n variables has an integral zero (2015) (23)
Universal twinkling exponents for spectral fluctuations associated with mixed chaology (2000) (22)
Symmetry Transitions in Random Matrix Theory & L-functions (2008) (20)
Rate of convergence of linear functions on the unitary group (2010) (20)
Negative moments of characteristic polynomials of random GOE matrices and singularity-dominated strong fluctuations (2002) (19)
Comb entanglement in quantum spin chains (2006) (19)
Moments of moments of characteristic polynomials of random unitary matrices and lattice point counts (2019) (19)
Clusters of near-degenerate levels dominate negative moments of spectral determinants (2002) (19)
Quantum ergodicity on graphs. (2008) (18)
Periodic Orbits, Spectral Statistics, and the Riemann Zeros (1999) (18)
The loss surfaces of neural networks with general activation functions (2020) (17)
Model for chaotic dielectric microresonators (2007) (17)
Fluctuations in quantum expectation values for chaotic systems with broken time-reversal symmetry (1998) (16)
Extreme values of CUE characteristic polynomials: a numerical study (2018) (16)
A random matrix model for elliptic curve L-functions of finite conductor (2011) (16)
The classical compact groups and Gaussian multiplicative chaos (2020) (16)
On the moments of the moments of the characteristic polynomials of Haar distributed symplectic and orthogonal matrices (2019) (16)
Maxima of log-correlated fields: some recent developments (2021) (15)
Misattributions to crowding: Blaming crowding for nondensity-caused events (1980) (15)
Long-time divergence of semiclassical form-factors (1994) (15)
Two-point spectral correlations for the square billiard (1997) (15)
Localized eigenfunctions in Šeba billiards (2009) (14)
False singularities in partial sums over closed orbits (1987) (14)
The semiclassical functional equation. (1992) (14)
Post Fire Interviews: Development and Field Validation of the Behavioral Sequence Interview Technique. Final Report. | NIST (1984) (14)
The lowest eigenvalue of Jacobi random matrix ensembles and Painlevé VI (2010) (14)
A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions (2018) (14)
The semiclassical sum rule and Riemann's zeta-function (1991) (13)
Altering thoughts and judgements through repeated association (1990) (13)
The Measurement of Perceived Crowding (1981) (12)
Fluctuation statistics for quantum star graphs (2006) (12)
On the moments of the moments of ζ(1/2 + it) (2021) (12)
On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L‐functions in the Selberg class (2015) (11)
Two-point correlation function for Dirichlet L-functions (2013) (11)
Detecting squarefree numbers (2013) (10)
RANDOM MATRICES AND NUMBER THEORY (2006) (10)
A method for calculating spectral statistics based on random-matrix universality with an application to the three-point correlations of the Riemann zeros (2013) (9)
Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (2004) (9)
Force and impulse from an Aharonov-Bohm flux line (Aharonov-Bohm force and impulse) (2001) (9)
Nodal domain distributions for quantum maps (2002) (9)
Fractional h scaling for quantum kicked rotors without cantori (2007) (9)
A Spin Glass Model for the Loss Surfaces of Generative Adversarial Networks (2021) (9)
Quantum chaology and the Riemann zeta-function (1993) (9)
On the joint moments of the characteristic polynomials of random unitary matrices (2020) (8)
The Ratios Conjecture and upper bounds for negative moments of $L$-functions over function fields (2021) (8)
L-functions and the characteristic polynomials of random matrices (2005) (8)
Moments of quadratic twists of elliptic curve L-functions over function fields (2019) (8)
Pair correlation and twin primes revisited (2016) (8)
Semiclassical wavefunctions in chaotic scattering systems (2004) (8)
Arithmetic Correlations Over Large Finite Fields (2015) (8)
Random matrices and number theory: some recent themes (2018) (8)
Truncated Product Representations for $L$-Functions in the Hyperelliptic Ensemble (2016) (7)
Semiclassical Properties of the Cat Maps (1990) (7)
Random matrices and the Riemann zeta-function (2002) (7)
Symmetric function theory and unitary invariant ensembles (2020) (7)
Persuasive impact, attitudes, and image : the effect of communication media and audience size on attitudes toward a source and toward his advocated position / (1972) (7)
On twin primes associated with the Hawkins random sieve (2006) (7)
Force and impulse from an Aharonov-Bohm ﬂux line (2000) (7)
On the Critical–Subcritical Moments of Moments of Random Characteristic Polynomials: A GMC Perspective (2020) (6)
Semiclassical theory of magnetization for a two-dimensional non-interacting electron gas (1994) (6)
Mean values of finite Euler products (2010) (6)
Persuasion, surveillance, and voting behavior (1974) (5)
Variance of sums in arithmetic progressions of arithmetic functions associated with higher degree 0-functions in Fq[t] (2018) (5)
A new approximation for (1/2)+it) and quantum spectral determinants (1992) (5)
Variance of arithmetic sums and L-functions in 𝔽q[t] (2018) (5)
The effects of prior reward and punishment on subsequent reward and punishment: Guilt versus consistency. (1976) (5)
On Relations between One-Dimensional Quantum and Two-Dimensional Classical Spin Systems (2015) (5)
Random permutations and related topics (2018) (5)
Appearance of random matrix theory in deep learning (2021) (4)
The quantum mechanics of chaotic systems - or - can one hear the chaology of a drum? (1993) (4)
Assessing affective states: A new methodology for some old problems (1988) (4)
On the moments of characteristic polynomials (2021) (4)
Crowding and reactions to uncontrollable events (1984) (4)
Averages of ratios of the Riemann zeta-function and correlations of divisor sums (2016) (4)
Random matrix theory and critical phenomena in quantum spin chains. (2015) (4)
Moments of Moments and Branching Random Walks (2020) (4)
A Myth about Distraction (1971) (4)
LETTER TO THE EDITOR: The diagonal approximation for non-time-reversal-symmetric systems (1998) (4)
Random matrix theory and number theory (2009) (4)
A new correlator in quantum spin-chains (2006) (4)
Nodal domain statistics for quantum chaotic maps (2008) (4)
Degeneracy moments for the square billiard (1999) (4)
Variance of sums in arithmetic progressions of arithmetic functions associated with higher degree $L$-functions in $\mathbb{F}_q[t]$ (2017) (3)
Semiclassical structure of quantum fractal eigenstates (2006) (3)
Quantum Energy Levels and Classical Periodic Orbits: Discreteness and Statistical Duality (2001) (3)
Type-I contributions to the one and two level densities of quadratic Dirichlet L–functions over function fields (2020) (3)
Multifractal Eigenfunctions for a Singular Quantum Billiard (2021) (3)
Orbit bifurcations and wavefunction autocorrelations (2002) (3)
Number Theory for the Millennium 1 (2002) (3)
Number fields and function fields: coalescences, contrasts and emerging applications (2015) (2)
Corrigendum to: “Arithmetic Correlations Over Large Finite Fields” (2018) (2)
Torus maps, symmetries, and spectral statistics † (2000) (2)
Type of Activity and Failure as Mediators of Perceived Crowding (1979) (2)
STOCHASTIC STABILIZATION OF CHAOS AND THE COSMIC MICROWAVE BACKGROUND (2004) (2)
Proceedings of the International School of Physics "Enrico Fermi", New directions in quantum chaos, Varenna, Italy, 20-30 July (2000) (2)
Random matrices and the Rietmann zeta-function - a review (2003) (2)
Summability of alternating gap series (2000) (1)
Twin prime correlations from the pair correlation of Riemann zeros (2019) (1)
New tests of the correspondence between unitary eigenvalues and the zeros of Riemann's (2017) (1)
Stochastic stabilization of cosmological photons (2003) (1)
Moments of zeta and correlations of divisor-sums: IV (2016) (1)
Applied Mathematics Entering the 21st Century: Invited talks from the ICIAM 2003 Congress (2004) (1)
Periodic Orbit Bifurcations and Scattering Time Delay Fluctuations(Quantum Mechanics and Chaos) (2007) (1)
Quantum Chaology of Energy Levels Notes Based on Lectures by Michael Berry (1988) (1)
Moments of moments of the characteristic polynomials of random orthogonal and symplectic matrices (2022) (1)
NOTES BASED ON LECTURES BY MICHAEL BERRY (1988) (1)
Effects of Crowding and Depersonalization on Perception of Group Atmosphere (1977) (1)
Universal characteristics of deep neural network loss surfaces from random matrix theory (2022) (1)
Spectra and Eigenstates of Spin Chain Hamiltonians (2015) (1)
Application of compound matrices to linear systems (1970) (1)
Hierarchical structure in the trace formula (2022) (1)
Summability of gap series (2000) (1)
Top secrets revealed (1994) (0)
A ug 2 00 2 Autocorrelation of Random Matrix Polynomials (2003) (0)
Comb entanglement in quantum spin chains (6 pages) (2006) (0)
New Directions in Linear Acoustics and Vibration: Quantum Chaos, Random Matrix Theory, and Complexity (2010) (0)
Chaotic wave scattering (2010) (0)
Random matrices, integrability, and number theory - Lecture 1 (2019) (0)
Erratum to Keating and Brock. (1976) (0)
The Trace Formula and Spectral Statistics : Beyond the Diagonal Approximation (2000) (0)
Moments of Moments and Branching Random Walks (2021) (0)
A Spin Glass Model for the Loss Surfaces of Generative Adversarial Networks (2022) (0)
Orbit bifur ations and wavefun tion auto orrelations (2002) (0)
N T ] 3 J un 2 00 2 INTEGRAL MOMENTS OF L-FUNCTIONS (2009) (0)
0 20 80 07 v 2 9 J un 2 00 3 Autocorrelation of Random Matrix Polynomials (2003) (0)
A pr 2 00 5 Entanglement in Quantum Spin Chains , Symmetry Classes of Random Matrices , and Conformal Field Theory (0)
0 30 80 05 v 1 5 A ug 2 00 3 No Quantum Ergodicity for Star Graphs (2004) (0)
A pr 2 00 6 Comb entanglement in quantum spin chains (0)
Misattributions to Crowding: Nondensity-Caused Events (1980) (0)
Variance of sums in arithmetic progressions of divisor functions associated with higher degree L-functions in 𝔽q[t] (2019) (0)
Force and Im pulse from an Ah aronov-Boh m Flux Line (2000) (0)
Maximum Absolute Determinants of Upper Hessenberg Bohemian Matrices (2020) (0)
Orbit Bifurcations and Quantum Fluctuation Statistics (2003) (0)
Multifractal eigenfunctions for quantum star graphs (2022) (0)
Soft-window averaging of Radar cross sections (2004) (0)
Highlights of Mathematical Physics (ICMP2000) (2002) (0)
On the moments of the moments of $\zeta(1/2+it)$ (2020) (0)
Resummation and the turning points of zeta functions (1997) (0)
n-Particle Quantum Statistics on Graphs (2014) (0)
Calling Nurse Blaze: tailoring programs to fit human behavior. (1978) (0)
Quantum Signatures of Chaos (Fritz Haake) (1993) (0)
Number Theory and Physics (1990) (0)
What is the probability that a random integral quadratic form in nvariables has an integral zero? International (2015) (0)
Nonlinearity is 20 years old in 2008! (2008) (0)
Multifractal Eigenfunctions for a Singular Quantum Billiard (2021) (0)
primes revisited (2016) (0)
A pr 2 00 6 A new correlator in quantum spin chains (2006) (0)
Fractional variant Planck's over 2pi scaling for quantum kicked rotors without Cantori. (2007) (0)
C D ] 2 4 Ju n 20 04 Stochastic Stabilization of Cosmological Photons (2008) (0)
Review of Quantum Chaos by G Casati & B Chirikov (1996) (0)
rhO ' HEWLETT ~ a PACKARD 2-point Soectral Correlations for the Square Billiard (2001) (0)
0 Star graphs and Šeba billiards (0)
Mathematical Aspects of Quantum Chaos (2005) (0)
C D ] 2 6 O ct 2 00 0 Star graphs and Šeba billiards (0)
Stochastic Stabilization of the Cosmic Microwave Background Radiation (2006) (0)
Random Matrix Theory and theDerivative of the Riemann (2000) (0)
Development of coded emergency alarms through word-association tasks (1978) (0)
Detecting squarefree numbers. Mathematical (2), (2015) (0)
On the Characteristic Polynomialof a Random Unitary MatrixC (2000) (0)
Random Matrix Theory and Elliptic Curves (2014) (0)
Applicability of Random Matrix Theory in Deep Learning (2021) (0)

This paper list is powered by the following services:

Other Resources About Jonathan Keating

en.wikipedia.org

What Schools Are Affiliated With Jonathan Keating?

Jonathan Keating is affiliated with the following schools:

Jonathan Keating's Academic­Influence.com Rankings