Journal Articles
Winn, B (2024)
Extreme eigenvalues of random matrices from Jacobi ensembles,
Journal of Mathematical Physics, ISSN: 0022-2488.
Anantharaman, N, Ingremeau, M, Sabri, M, Winn, B (Accepted for publication) Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit, Journal of Functional Analysis, 280(12), pp.108988-108988, ISSN: 0022-1236. DOI: 10.1016/j.jfa.2021.108988.
Anantharaman, N, Ingremeau, M, Sabri, M,
Winn, B (2021)
Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization,
Journal de Mathematiques Pures et Appliquees, 151, pp.28-98, ISSN: 0021-7824. DOI:
10.1016/j.matpur.2021.04.012.
Anantharaman, N, Ingremeau, M, Sabri, M,
Winn, B (2021)
Absolutely continuous spectrum for quantum trees,
Communications in Mathematical Physics, 383(1), pp.537-594, ISSN: 0010-3616. DOI:
10.1007/s00220-021-03994-3.
Ingremeau, M, Sabri, M,
Winn, B (2019)
Quantum ergodicity for large equilateral quantum graphs,
Journal of the London Mathematical Society, 101(1), pp.82-109, ISSN: 0024-6107. DOI:
10.1112/jlms.12259.
Berkolaiko, G and
Winn, B (2018)
Maximal scarring for eigenfunctions of quantum graphs,
Nonlinearity, 31(10), pp.4812-4850, ISSN: 0951-7715. DOI:
10.1088/1361-6544/aad3fe.
Mezzadri, F, Reynolds, AK,
Winn, B (2017)
Moments of the eigenvalue densities and of the secular coefficients of β-ensembles,
Nonlinearity, 30(3), pp.1034-1057, ISSN: 0951-7715. DOI:
10.1088/1361-6544/aa518c.
Winn, B and Brammall, M (2015)
Quantum ergodicity for quantum graphs without back-scattering,
Annales Henri Poincare, 17(6), pp.1353-1382, ISSN: 1424-0637. DOI:
10.1007/s00023-015-0435-8.
Harrison, JM and
Winn, B (2012)
Intermediate statistics for a system with symplectic symmetry: The Dirac rose graph,
Journal of Physics A: Mathematical and Theoretical, 45(43), ISSN: 1751-8113. DOI:
10.1088/1751-8113/45/43/435101.
Winn, B (2012)
Derivative Moments for Characteristic Polynomials from the CUE,
Communications in Mathematical Physics, 315(2), pp.531-562, ISSN: 0010-3616. DOI:
10.1007/s00220-012-1512-1.
Berkolaiko, G and
Winn, B (2010)
Relationship between scattering matrix and spectrum of quantum graphs,
Transactions of the American Mathematical Society, 362(12), pp.6261-6277, ISSN: 0002-9947. DOI:
10.1090/S0002-9947-2010-04897-4.
Keating, JP, Marklof, J,
Winn, B (2010)
Localized eigenfunctions in Seba billiards,
JOURNAL OF MATHEMATICAL PHYSICS, 51(6), ARTN 062101, ISSN: 0022-2488. DOI:
10.1063/1.3393884.
Exner, P, Kuchment, P,
Winn, B (2010)
On the location of spectral edges in Z-periodic media,
Journal of Physics A: Mathematical and Theoretical, 43, p.474022.
Harrison, JM, Kuchment, P, Sobolev, A,
Winn, B (2007)
On occurrence of spectral edges for periodic operators inside the Brillouin zone,
J. Phys. A, 40, pp.7597-7618, ISSN: 1751-8113. DOI:
10.1088/1751-8113/40/27/011.
Harrison, JM, Smilansky, U,
Winn, B (2007) Quantum graphs where back-scattering is prohibited,
Journal of Physics A, 40, pp.14181-14193.
Degli Esposti, M, Nonnenmacher, S,
Winn, B (2006)
Quantum variance and ergodicity for the baker's map,
Commun. Math. Phys, 263, pp.325-352, ISSN: 0010-3616. DOI:
10.1007/s00220-005-1397-3.
Degli Esposti, M and
Winn, B (2005) The quantum perturbed cat map and symmetry,
Journal of Physics A, 38, pp.5895-5912.
Degli Esposti, M, O'Keefe, S,
Winn, B (2005) A semi-classical study of the Casati-Prosen triangle map,
Nonlinearity, 18, pp.1073-1094.
Berkolaiko, G, Keating, JP,
Winn, B (2004)
No quantum ergodicity for star graphs,
Comm. Math. Phys, 250, pp.259-285, ISSN: 0010-3616. DOI:
10.1007/s00220-004-1145-0.
Keating, JP, Marklof, J,
Winn, B (2003)
Value distribution of the eigenfunctions and spectral determinants of quantum star graphs,
Commun. Math. Phys, 241, pp.421-452, ISSN: 0010-3616. DOI:
10.10007/s00220-003-0941-2.
Berkolaiko, G, Keating, JP,
Winn, B (2003)
Intermediate Wave Function Statistics,
Physical Review Letters, 91(13), 134103, ISSN: 0031-9007. DOI:
10.1103/physrevlett.91.134103.
Mestel, BD, Osbaldestin, AH,
Winn, B (2000)
Golden Mean Renormalisation for the Harper Equation: The Strong Coupling Fixed Point,
Journal of Mathematical Physics, 41, pp.8304-8330, ISSN: 0022-2488.
