Gregory Berkolaiko
Gregory Berkolaiko
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Introduction to quantum graphs
G Berkolaiko, P Kuchment
American Mathematical Soc., 2013
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
American Mathematical Soc., 2006
Two-point spectral correlations for star graphs
G Berkolaiko, JP Keating
Journal of Physics A: Mathematical and General 32 (45), 7827, 1999
Star graphs and Seba billiards
G Berkolaiko, EB Bogomolny, JP Keating
Journal of Physics A: Mathematical and General 34, 335, 2001
An elementary introduction to quantum graphs
G Berkolaiko
Geometric and computational spectral theory 700 (41-72), 4-5, 2017
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
A lower bound for nodal count on discrete and metric graphs
G Berkolaiko
Communications in mathematical physics 278, 803-819, 2008
Leading off-diagonal correction to the form factor of large graphs
G Berkolaiko, H Schanz, RS Whitney
Physical review letters 88 (10), 104101, 2002
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
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
No quantum ergodicity for star graphs
G Berkolaiko, JP Keating, B Winn
Communications in mathematical physics 250, 259-285, 2004
Symmetry and Dirac points in graphene spectrum
G Berkolaiko, A Comech
Journal of Spectral Theory 8 (3), 1099-1147, 2018
Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths
G Berkolaiko, P Kuchment
Spectral geometry 84, 117-137, 2012
Limits of quantum graph operators with shrinking edges
G Berkolaiko, Y Latushkin, S Sukhtaiev
Advances in Mathematics 352, 632-669, 2019
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
Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph
G Berkolaiko, W Liu
Journal of Mathematical Analysis and Applications 445 (1), 803-818, 2017
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
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
Nodal count of graph eigenfunctions via magnetic perturbation
G Berkolaiko
Analysis & PDE 6 (5), 1213–1233, 2013
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
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