Gregory Berkolaiko
Gregory Berkolaiko
Adresse e-mail validée de math.tamu.edu - Page d'accueil
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Introduction to quantum graphs
G Berkolaiko, P Kuchment
American Mathematical Soc., 2013
5832013
Quantum Graphs and Their Applications: Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah
G Berkolaiko, R Carlson, P Kuchment, SA Fulling
American Mathematical Soc., 2006
1412006
Two-point spectral correlations for star graphs
G Berkolaiko, JP Keating
Journal of Physics A: Mathematical and General 32 (45), 7827, 1999
831999
Star graphs and Seba billiards
G Berkolaiko, EB Bogomolny, JP Keating
Journal of Physics A: Mathematical and General 34, 335, 2001
752001
Leading off-diagonal correction to the form factor of large graphs
G Berkolaiko, H Schanz, RS Whitney
Physical review letters 88 (10), 104101, 2002
622002
Non-exponential stability and decay rates in nonlinear stochastic difference equations with unbounded noise
JAD Appleby, G Berkolaiko, A Rodkina
Stochastics: An International Journal of Probability and Stochastics …, 2009
572009
No quantum ergodicity for star graphs
G Berkolaiko, JP Keating, B Winn
Communications in mathematical physics 250 (2), 259-285, 2004
522004
A lower bound for nodal count on discrete and metric graphs
G Berkolaiko
Communications in mathematical physics 278 (3), 803-819, 2008
502008
Full counting statistics of chaotic cavities from classical action correlations
G Berkolaiko, JM Harrison, M Novaes
Journal of Physics A: Mathematical and Theoretical 41 (36), 365102, 2008
452008
On spectral stability of solitary waves of nonlinear Dirac equation in 1D
G Berkolaiko, A Comech
Mathematical Modelling of Natural Phenomena 7 (2), 13-31, 2012
442012
Form factor for a family of quantum graphs: an expansion to third order
G Berkolaiko, H Schanz, RS Whitney
Journal of Physics A: Mathematical and General 36, 8373, 2003
442003
The Number of Nodal Domains on Quantum Graphs as a Stability Index of Graph Partitions
R Band, G Berkolaiko, H Raz, U Smilansky
Communications in Mathematical Physics, 1-24, 2011
412011
Intermediate wave function statistics
G Berkolaiko, JP Keating, B Winn
Physical review letters 91 (13), 134103, 2003
372003
An elementary introduction to quantum graphs
G Berkolaiko
Geometric and computational spectral theory 700, 41-72, 2017
352017
Edge connectivity and the spectral gap of combinatorial and quantum graphs
G Berkolaiko, JB Kennedy, P Kurasov, D Mugnolo
Journal of Physics A: Mathematical and Theoretical 50 (36), 365201, 2017
342017
Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths
G Berkolaiko, P Kuchment
Spectral geometry 84, 117-137, 2012
342012
Surgery principles for the spectral analysis of quantum graphs
G Berkolaiko, J Kennedy, P Kurasov, D Mugnolo
Transactions of the American Mathematical Society 372 (7), 5153-5197, 2019
332019
Nodal count of graph eigenfunctions via magnetic perturbation
G Berkolaiko
Analysis & PDE 6 (5), 1213–1233, 2013
332013
Semiclassical gaps in the density of states of chaotic Andreev billiards
J Kuipers, D Waltner, C Petitjean, G Berkolaiko, K Richter
Physical review letters 104 (2), 027001, 2010
322010
Moments of the Wigner delay times
G Berkolaiko, J Kuipers
Journal of Physics A: Mathematical and Theoretical 43 (3), 035101, 2009
322009
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