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- Jon P Keating

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
44
Citations
7,960
169
World Ranking
1085
National Ranking
83

2009 - Fellow of the Royal Society, United Kingdom

- Quantum mechanics
- Mathematical analysis
- Algebra

His primary scientific interests are in Random matrix, Mathematical physics, Riemann hypothesis, Mathematical analysis and Riemann zeta function. His study on Random matrix also encompasses disciplines like

- Limit which intersects with area such as Matrix,
- Combinatorics that intertwine with fields like Autocorrelation matrix. His research integrates issues of Trace, Quantum mechanics, Quantum entanglement, Semiclassical physics and Entropy of entanglement in his study of Mathematical physics.

His research investigates the connection between Riemann hypothesis and topics such as Eigenvalues and eigenvectors that intersect with problems in Conjecture, Discrete mathematics, Prime number and Quantum. His biological study spans a wide range of topics, including Gaussian measure, Central limit theorem and Covariance function. As a member of one scientific family, Jon P Keating mostly works in the field of Riemann zeta function, focusing on Distribution and, on occasion, Statistical mechanics.

- Random Matrix Theory and ζ(1/2+it) (711 citations)
- Integral moments of L-functions (318 citations)
- Random matrix theory and L-functions at s=1/2 (314 citations)

His primary areas of investigation include Random matrix, Semiclassical physics, Mathematical physics, Quantum mechanics and Quantum. His research integrates issues of Riemann zeta function, Mathematical analysis, Limit and Pure mathematics in his study of Random matrix. His research in Semiclassical physics focuses on subjects like Dynamical billiards, which are connected to Degeneracy.

His work carried out in the field of Mathematical physics brings together such families of science as Trace, Quantum entanglement, Phase space and Spectrum. His Quantum mechanics research integrates issues from Poisson distribution and Statistical physics. His Quantum study also includes fields such as

- Eigenfunction which is related to area like Ergodic theory and Quantum ergodicity,
- Fourier transform that intertwine with fields like Form factor.

- Random matrix (35.20%)
- Semiclassical physics (29.05%)
- Mathematical physics (27.37%)

- Combinatorics (11.73%)
- Pure mathematics (15.64%)
- Discrete mathematics (8.38%)

His scientific interests lie mostly in Combinatorics, Pure mathematics, Discrete mathematics, Random matrix and Degree. His research on Combinatorics also deals with topics like

- Random variable which connect with Branching random walk, Explicit formulae, Random field, Random walk and Integer,
- Unitary matrix and related Unit circle, Characteristic polynomial and Gaussian,
- Unitary group, Rational function, Series, Riemann zeta function and Dirichlet series most often made with reference to Divisor function. His Pure mathematics study is mostly concerned with Riemann Xi function and Riemann hypothesis.

His study in Random matrix is interdisciplinary in nature, drawing from both Universality and Central limit theorem. In his study, Arithmetic function, Elliptic curve, Limit and Conjugacy class is inextricably linked to Arithmetic, which falls within the broad field of Degree. The various areas that Jon P Keating examines in his Mathematical physics study include Quantum, Theoretical computer science, Eigenvalues and eigenvectors and Ground state.

- Spectra and Eigenstates of Spin Chain Hamiltonians (63 citations)
- Sums of divisor functions in Fq[t] and matrix integrals (34 citations)
- Sums of divisor functions in $F_{q}[t]$ and matrix integrals (24 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

Jon P Keating spends much of his time researching Combinatorics, Divisor function, Symmetric function, Matrix and Unitary group. His Combinatorics research incorporates elements of Moment, Unitary matrix, Characteristic polynomial and Random variable. Jon P Keating interconnects Asymptotic formula, Dirichlet series, Riemann hypothesis, Riemann zeta function and Series in the investigation of issues within Divisor function.

His Symmetric function study incorporates themes from Random matrix, Central limit theorem, Representation theory and Invariant. His Matrix research includes themes of Discrete mathematics and Integral element. He has researched Unitary group in several fields, including Rational function, Field, Divisor, Finite field and Function.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Random Matrix Theory and ζ(1/2+it)

Jon P Keating;Nina C Snaith.

Communications in Mathematical Physics **(2000)**

764 Citations

Random Matrix Theory and ζ(1/2+it)

Jon P Keating;Nina C Snaith.

Communications in Mathematical Physics **(2000)**

764 Citations

The Riemann Zeros and Eigenvalue Asymptotics

M. V. Berry;J. P. Keating.

Siam Review **(1999)**

418 Citations

The Riemann Zeros and Eigenvalue Asymptotics

M. V. Berry;J. P. Keating.

Siam Review **(1999)**

418 Citations

Integral moments of L-functions

J B Conrey;DW Farmer;Jon P Keating;MO Rubinstein.

Proceedings of The London Mathematical Society **(2005)**

405 Citations

Integral moments of L-functions

J B Conrey;DW Farmer;Jon P Keating;MO Rubinstein.

Proceedings of The London Mathematical Society **(2005)**

405 Citations

Random matrix theory and L-functions at s=1/2

Jon P Keating;Nina C Snaith.

Communications in Mathematical Physics **(2000)**

351 Citations

Random matrix theory and L-functions at s=1/2

Jon P Keating;Nina C Snaith.

Communications in Mathematical Physics **(2000)**

351 Citations

Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation.

EB Bogomolny;JP Keating.

Physical Review Letters **(1996)**

303 Citations

Gutzwiller's Trace Formula and Spectral Statistics: Beyond the Diagonal Approximation.

EB Bogomolny;JP Keating.

Physical Review Letters **(1996)**

303 Citations

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