Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Random Matrix Theory and ζ(1/2+it)

- J. Keating, N. Snaith
- Mathematics
- 1 October 2000

Abstract: We study the characteristic polynomials Z(U, θ) of matrices U in the Circular Unitary Ensemble (CUE) of Random Matrix Theory. Exact expressions for any matrix size N are derived for the… Expand

Random Matrix Theory and L-Functions at s= 1/2

- J. Keating, N. Snaith
- Mathematics
- 1 October 2000

Abstract: Recent results of Katz and Sarnak [8, 9] suggest that the low-lying zeros of families of L-functions display the statistics of the eigenvalues of one of the compact groups of matrices U(N),… Expand

Integral moments of L-functions

- J. B. Conrey, D. Farmer, J. Keating, M. Rubinstein, N. Snaith
- Mathematics, Physics
- 3 June 2002

We give a new heuristic for all of the main terms in the integral moments of various families of primitive $L$-functions. The results agree with previous conjectures for the leading order terms. Our… Expand

The Riemann Zeros and Eigenvalue Asymptotics

- M. Berry, J. Keating
- Computer Science, MathematicsSIAM Rev.
- 1 June 1999

TLDR

Freezing transition, characteristic polynomials of random matrices, and the Riemann zeta function.

- Y. Fyodorov, Ghaith A. Hiary, J. Keating
- Mathematics, PhysicsPhysical review letters
- 21 February 2012

We argue that the freezing transition scenario, previously explored in the statistical mechanics of 1/f-noise random energy models, also determines the value distribution of the maximum of the… Expand

H = xp and the Riemann Zeros

- M. Berry, J. Keating
- Physics
- 1999

The Riemann hypothesis 1,2 states that the complex zeros of ζ(s) lie on the critical line Re s=1/2; that is, the nonimaginary solutions E n of (1) are all real. Here we will present some evidence… Expand

The evolution of bubble size distributions in volcanic eruptions

- J. Blower, J. Keating, H. Mader, J. Phillips
- Geology
- 15 January 2003

We review observations of bubble size distributions (BSDs) generated during explosive volcanic eruptions and laboratory explosions, as inferred from vesicle size distributions found in the end… Expand

Freezing transitions and extreme values: random matrix theory, and disordered landscapes

- Y. Fyodorov, J. Keating
- Physics, MedicinePhilosophical Transactions of the Royal Society A…
- 26 November 2012

We argue that the freezing transition scenario, previously conjectured to occur in the statistical mechanics of 1/f-noise random energy models, governs, after reinterpretation, the value distribution… Expand

The variance of the number of prime polynomials in short intervals and in residue classes

- J. Keating, Z. Rudnick
- Mathematics
- 3 April 2012

We resolve a function field version of two conjectures concerning the variance of the number of primes in short intervals (Goldston and Montgomery) and in arithmetic progressions (Hooley). A crucial… Expand

Inferring volcanic degassing processes from vesicle size distributions

- J. Blower, J. Keating, H. Mader, J. Phillips
- Geology
- 15 January 2001

Both power law and exponential vesicle size distributions (VSDs) have been observed in many different types of volcanic rocks. We present results of computer simulations and laboratory analogue… Expand

...

1

2

3

4

5

...