19962020

Research output per year

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Research Output

  • 36 Article (Academic Journal)
  • 2 Edited book
  • 2 Conference Contribution (Conference Proceeding)
2020

Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermions

Brightmore, L. J., Gehér, G., Its, A. R., Mezzadri, F., Mo, M. Y., Korepin, V. E. & Virtanen, J. A., 15 Jun 2020, (Accepted/In press) In : Journal of Physics A: Mathematical and Theoretical. 26 p.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
2 Downloads (Pure)
2019

Moments of random matrices and hypergeometric orthogonal polynomials

Cunden, F. D., Mezzadri, F., O’Connell, N. & Simm, N., 1 Aug 2019, In : Communications in Mathematical Physics. 369, 3, p. 1091-1145 55 p.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
3 Citations (Scopus)
125 Downloads (Pure)
2018

Free Fermions and the Classical Compact Groups

Cunden, F. D., Mezzadri, F. & O’Connell, N., Jun 2018, In : Journal of Statistical Physics. 171, 5, p. 768-801 34 p.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
8 Citations (Scopus)
219 Downloads (Pure)
2017

Density and spacings for the energy levels of quadratic Fermi operators

Cunden, F., Mezzadri, F. & Maltsev, A., Jun 2017, In : Journal of Mathematical Physics. 58, 6, 15 p., 061902.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
148 Downloads (Pure)

Moments of the eigenvalue densities and of the secular coefficients of β-ensembles

Mezzadri, F., Reynolds, A. & Winn, B., Mar 2017, In : Nonlinearity. 30, 3, 24 p., 1034.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
3 Citations (Scopus)
213 Downloads (Pure)
2016

Correlators for the Wigner-Smith time-delay matrix of chaotic cavities

Cunden, F. D., Mezzadri, F., Simm, N. & Vivo, P., 6 May 2016, In : Journal of Physics A: Mathematical and Theoretical. 49 , 18, 20 p., 18LT01.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
10 Citations (Scopus)
319 Downloads (Pure)

Large deviations of radial statistics in the two-dimensional one-component plasma

Cunden, F., Mezzadri, F. & Vivo, P., Sep 2016, In : Journal of Statistical Physics. 164, 5, p. 1062–1081 20 p.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
11 Citations (Scopus)
237 Downloads (Pure)

Large-N expansion for the time-delay matrix of ballistic chaotic cavities

Cunden, F., Mezzadri, F., Simm, N. & Vivo, P., Nov 2016, In : Journal of Mathematical Physics. 57, 11, 16 p., 111901.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
9 Citations (Scopus)
260 Downloads (Pure)

On the Tracy-Widom beta-distribution for beta=6

Grava, T., Its, A., Kapaev, A. & Mezzadri, F., 1 Nov 2016, In : Symmetry, Integrability and Geometry: Methods and Applications. 12, 26 p., 105.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
4 Citations (Scopus)
212 Downloads (Pure)

Random matrix ensembles with singularities and a hierarchy of Painlevé III equations

Atkin, M. R., Claeys, T. & Mezzadri, F., Aug 2016, In : International Mathematics Research Notices. 2016, 8, p. 2320-2375 56 p.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
12 Citations (Scopus)
297 Downloads (Pure)
2015

A matrix model with a singular weight and Painlevé III

Brightmore, L. J., Mezzadri, F. & Mo, M. Y., Feb 2015, In : Communications in Mathematical Physics. 333, 3, p. 1317-1364 47 p.

Research output: Contribution to journalArticle (Academic Journal)

14 Citations (Scopus)

A unified fluctuation formula for one-cut beta-ensembles of random matrices

Cunden, F., Mezzadri, F. & Vivo, P., 20 Jul 2015, In : Journal of Physics A: Mathematical and Theoretical. 48, 31, 23 p., 315204.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
8 Citations (Scopus)
201 Downloads (Pure)

Fluctuations in the 2D one-component plasma and associated fourth-order phase transition

Cunden, F., Maltsev, A. & Mezzadri, F., Jun 2015, In : Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 91, 6, 060105(R).

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
7 Citations (Scopus)
220 Downloads (Pure)

On relations between one-dimensional quantum and two-dimensional classical spin systems

Hutchinson, J., Keating, J. & Mezzadri, F., 16 Dec 2015, In : Advances in Mathematical Physics. 2015, 18 p., 652026.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
2 Citations (Scopus)
277 Downloads (Pure)

Random matrix theory and critical phenomena in quantum spin chains

Hutchinson, J., Keating, J. P. & Mezzadri, F., 4 Sep 2015, In : Physical Review E: Statistical, Nonlinear, and Soft Matter Physics. 92, 3, 6 p., 032106.

Research output: Contribution to journalArticle (Academic Journal)

Open Access
File
4 Citations (Scopus)
311 Downloads (Pure)
2013

Tau-function theory of chaotic quantum transport with beta =1,2,4

Mezzadri, F. & Simm, N. J., Dec 2013, In : Communications in Mathematical Physics. 324, 2, p. 465-513 49 p.

Research output: Contribution to journalArticle (Academic Journal)

29 Citations (Scopus)
2012

Moments of the transmission eigenvalues, proper delay times and random matrix theory II

Mezzadri, F. & Simm, NJ., May 2012, In : Journal of Mathematical Physics. 53, 5, 42 p., 053504.

Research output: Contribution to journalArticle (Academic Journal)

23 Citations (Scopus)
2011

Moments of the transmission eigenvalues, proper delay times, and random matrix theory. I

Mezzadri, F. & Simm, NJ., Oct 2011, In : Journal of Mathematical Physics. 52, 10, 29 p., 103511.

Research output: Contribution to journalArticle (Academic Journal)

31 Citations (Scopus)

Rate of convergence of linear functions on the unitary group

Keating, JP., Mezzadri, F. & Singphu, B., Jan 2011, In : Journal of Physics A: Mathematical and Theoretical. 44, 3, 27 p., 035204.

Research output: Contribution to journalArticle (Academic Journal)

3 Citations (Scopus)
2010

Roots of the derivative of the Riemann zeta function and of characteristic polynomials

Duenez, E., Farmer, DW., Froehlich, S., Hughes, C., Mezzadri, F. & Phan, T., Oct 2010, In : Nonlinearity. 23, number 10, p. 2599 - 2621 23 p.

Research output: Contribution to journalArticle (Academic Journal)

12 Citations (Scopus)
2009

On an average over the Gaussian Unitary Ensemble

Mezzadri, F. & Mo, MY., 24 May 2009, In : International Mathematics Research Notices. 2009, 18, p. 3486 - 3515 30 p.

Research output: Contribution to journalArticle (Academic Journal)

11 Citations (Scopus)
2008

Entanglement entropy in quantum spin chains with finite ranage interaction

Its, A., Mezzadri, F. & Mo, MY., Nov 2008, In : Communications in Mathematical Physics. 284, issue 1, p. 117 - 185 69 p.

Research output: Contribution to journalArticle (Academic Journal)

22 Citations (Scopus)
2007

How to generate random matrices from the classical compact groups

Mezzadri, F., May 2007, In : Notices of the American Mathematical Society. 54, 5, p. 592 - 604 13 p.

Research output: Contribution to journalArticle (Academic Journal)

179 Citations (Scopus)

Ranks of Elliptic Curves and Random Matrix Theory

Conrey, B., Farmer, D., Mezzadri, F. & Snaith, N., Feb 2007, Cambridge University Press. 368 p. (London Mathematical Society Lecture Note Series; vol. 341)

Research output: Book/ReportEdited book

2006

A new correlator in quantum spin-chains

Keating, JP., Mezzadri, F. & Novaes, M., 16 Jun 2006, In : Journal of Physics A: Mathematical and General. 39 (4), p. L389 - L394

Research output: Contribution to journalArticle (Academic Journal)

3 Citations (Scopus)

Comb entanglement in quantum spin chains

Keating, JP., Mezzadri, F. & Novaes, M., Jul 2006, In : Physical Review A: Atomic, Molecular and Optical Physics. 74 (1, 012311), p. 1 - 6 6 p.

Research output: Contribution to journalArticle (Academic Journal)

10 Citations (Scopus)

Random polynomials, random matrices and L-functions

Farmer, DW., Mezzadri, F. & Snaith, NC., Apr 2006, In : Nonlinearity. 19 (4), p. 919 - 936 18 p.

Research output: Contribution to journalArticle (Academic Journal)

6 Citations (Scopus)
2005

Entanglement in quantum spin chains, symmetry classes of random matrices, and conformal field theory

Keating, JP. & Mezzadri, F., 11 Feb 2005, In : Physical Review Letters. 94 (5), Art. No. 050501.

Research output: Contribution to journalArticle (Academic Journal)

88 Citations (Scopus)

Recent Perspectives in Random Matrix Theory and Number Theory

Mezzadri, F. & Snaith, N., Jul 2005, Cambridge University Press. (London Mathematical Society Lecture Note Series; vol. 322)

Research output: Book/ReportEdited book

2004

Random matrix theory and entanglement in quantum spin chains

Keating, JP. & Mezzadri, F., Dec 2004, In : Communications in Mathematical Physics. 252 (1-3), p. 543 - 579 37 p.

Research output: Contribution to journalArticle (Academic Journal)

81 Citations (Scopus)
2003

Nodal domain distributions for quantum maps

Keating, JP., Mezzadri, F. & Monastra, AG., 24 Jan 2003, In : Journal of Physics A: Mathematical and General. 36 (3), p. L53 - L59

Research output: Contribution to journalArticle (Academic Journal)

8 Citations (Scopus)

Random matrix theory and the zeros of ζ'(s)

Mezzadri, F., Mar 2003, In : Journal of Physics A: Mathematical and General. 36 (12), p. 2945 - 2962 18 p.

Research output: Contribution to journalArticle (Academic Journal)

14 Citations (Scopus)
2002

On the multiplicativity of quantum cat maps

Mezzadri, F., May 2002, In : Nonlinearity. 15 (3), p. 905 - 922 18 p.

Research output: Contribution to journalArticle (Academic Journal)

9 Citations (Scopus)
2001

Quantum cat maps with spin1/2

Keppeler, S., Marklof, J. & Mezzadri, F., Jul 2001, In : Nonlinearity. 14 (4), p. 719 - 738

Research output: Contribution to journalArticle (Academic Journal)

6 Citations (Scopus)
2000

Pseudo-symmetrics for Anosov Maps and Spectral Statistics

Keating, JP. & Mezzadri, F., 2000, In : Nonlinearity. 13, p. 747 - 775

Research output: Contribution to journalArticle (Academic Journal)

Torus maps symmetries and spectral statistics

Keating, JP. & Mezzadri, F., 2000, Proceedings of the International School of Physics "Enrico Fermi", New directions in quantum chaos, Varenna, Italy, 20-30 July.

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

1999

Quantum boundary conditions for torus maps

Keating, JP., Mezzadri, F. & Robbins, JM., 1999, In : Nonlinearity. 12, p. 579 - 591

Research output: Contribution to journalArticle (Academic Journal)

33 Citations (Scopus)
1998

"Bremsstrahlung" in electron-atom collisions: Could it require a new type of "elastic" scattering cross-section?

Mambriani, G., Mezzadri, F. & Vernizzi, G., 1998, Proceedings of the 14th European Conference of Atomic and Molecular Physics of Ionized Gases (ESCAMPIG 1998). Riley, D., Mahony, CMO. & Graham, WG. (eds.). Belfast, p. 130-131 2 p.

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

1997

On the properties of level spacings for decomposable systems

Mezzadri, F. & Scotti, A., 1997, In : Nuovo Cimento B. 112 B, p. 543 - 554

Research output: Contribution to journalArticle (Academic Journal)

1 Citation (Scopus)
1996

On the locality of level spacing distributions

Mezzadri, F. & Scotti, A., 1996, In : Nuovo Cimento B. 111 B, p. 615 - 622

Research output: Contribution to journalArticle (Academic Journal)