Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Research Publications


Publications for Brian Winn

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Journal Articles

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.



Conferences

Winn, B (2008) A conditionally convergent trace formula for quantum graphs. In Analysis on Graphs and Its Applications, Amercian Mathematical Society, pp.491-501.

Winn, B (2008) On the trace formula for quantum star graphs. In Quantum graphs and their applications, American Mathematical Society, pp.293-307.



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