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Brian Winn
Brian Winn
Senior Lecturer, Loughborough University
Verified email at loughborough.ac.uk
Title
Cited by
Cited by
Year
On occurrence of spectral edges for periodic operators inside the Brillouin zone
JM Harrison, P Kuchment, A Sobolev, B Winn
Journal of Physics A: Mathematical and Theoretical 40 (27), 7597, 2007
762007
No quantum ergodicity for star graphs
G Berkolaiko, JP Keating, B Winn
Communications in mathematical physics 250, 259-285, 2004
622004
On the location of spectral edges in-periodic media
P Exner, P Kuchment, B Winn
Journal of Physics A: Mathematical and Theoretical 43 (47), 474022, 2010
602010
Value distribution of the eigenfunctions and spectral determinants of quantum star graphs
JP Keating, J Marklof, B Winn
Communications in mathematical physics 241, 421-452, 2003
492003
Quantum graphs where back-scattering is prohibited
JM Harrison, U Smilansky, B Winn
Journal of Physics A: Mathematical and Theoretical 40 (47), 14181, 2007
432007
Intermediate wave function statistics
G Berkolaiko, JP Keating, B Winn
Physical review letters 91 (13), 134103, 2003
412003
Golden mean renormalization for the Harper equation: the strong coupling fixed point
BD Mestel, AH Osbaldestin, B Winn
Journal of Mathematical Physics 41 (12), 8304-8330, 2000
372000
Relationship between scattering matrix and spectrum of quantum graphs
G Berkolaiko, B Winn
Transactions of the American Mathematical Society 362 (12), 6261-6277, 2010
362010
Quantum variance and ergodicity for the baker's map
M Degli Esposti, S Nonnenmacher, B Winn
Communications in mathematical physics 263, 325-352, 2006
332006
Moments of the eigenvalue densities and of the secular coefficients of β-ensembles
F Mezzadri, AK Reynolds, B Winn
Nonlinearity 30 (3), 1034, 2017
242017
Derivative moments for characteristic polynomials from the CUE
B Winn
Communications in Mathematical Physics 315, 531-562, 2012
202012
Localized eigenfunctions in Šeba billiards
JP Keating, J Marklof, B Winn
Journal of Mathematical Physics 51 (6), 062101, 2010
132010
On the trace formula for quantum star graphs
B Winn
Contemporary Mathematics 415, 293, 2006
132006
Absolutely continuous spectrum for quantum trees
N Anantharaman, M Ingremeau, M Sabri, B Winn
Communications in Mathematical Physics 383, 537-594, 2021
102021
Quantum ergodicity for large equilateral quantum graphs
M Ingremeau, M Sabri, B Winn
Journal of the London Mathematical Society 101 (1), 82-109, 2020
102020
Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization
N Anantharaman, M Ingremeau, M Sabri, B Winn
Journal de Mathématiques Pures et Appliquées 151, 28-98, 2021
92021
The quantum perturbed cat map and symmetry
M Degli Esposti, B Winn
Journal of Physics A: Mathematical and General 38 (26), 5895, 2005
92005
A semi-classical study of the Casati–Prosen triangle map
M Degli Esposti, S O'Keefe, B Winn
Nonlinearity 18 (3), 1073, 2005
92005
Quantum ergodicity for quantum graphs without back-scattering
M Brammall, B Winn
Annales Henri Poincaré 17, 1353-1382, 2016
82016
Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit
N Anantharaman, M Ingremeau, M Sabri, B Winn
Journal of Functional Analysis 280 (12), 108988, 2021
72021
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