| Introduction to quantum graphs G Berkolaiko, P Kuchment American Mathematical Soc., 2013 | 1241 | 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 | 217 | 2006 |
| An elementary introduction to quantum graphs G Berkolaiko Geometric and computational spectral theory 700 (41-72), 4-5, 2017 | 107 | 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 | 104 | 2009 |
| 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 | 99 | 2019 |
| Two-point spectral correlations for star graphs G Berkolaiko, JP Keating Journal of Physics A: Mathematical and General 32 (45), 7827, 1999 | 91 | 1999 |
| A lower bound for nodal count on discrete and metric graphs G Berkolaiko Communications in mathematical physics 278 (3), 803-819, 2008 | 89 | 2008 |
| Star graphs and Seba billiards G Berkolaiko, EB Bogomolny, JP Keating Journal of Physics A: Mathematical and General 34, 335, 2001 | 83 | 2001 |
| 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 | 80 | 2017 |
| Leading off-diagonal correction to the form factor of large graphs G Berkolaiko, H Schanz, RS Whitney Physical review letters 88 (10), 104101, 2002 | 70 | 2002 |
| Symmetry and Dirac points in graphene spectrum G Berkolaiko, A Comech Journal of Spectral Theory 8 (3), 1099-1147, 2018 | 69* | 2018 |
| Almost sure asymptotic stability analysis of the θ-Maruyama method applied to a test system with stabilising and destabilising stochastic perturbations G Berkolaiko, E Buckwar, C Kelly, A Rodkina LMS Journal of Computation and Mathematics 15, 71-83, 2012 | 69 | 2012 |
| No quantum ergodicity for star graphs G Berkolaiko, JP Keating, B Winn Communications in mathematical physics 250 (2), 259-285, 2004 | 67 | 2004 |
| Limits of quantum graph operators with shrinking edges G Berkolaiko, Y Latushkin, S Sukhtaiev Advances in Mathematics 352, 632-669, 2019 | 66 | 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 | 66 | 2011 |
| Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths G Berkolaiko, P Kuchment arXiv preprint arXiv:1008.0369, 2010 | 65 | 2010 |
| Nodal count of graph eigenfunctions via magnetic perturbation G Berkolaiko Analysis & PDE 6 (5), 1213–1233, 2013 | 60 | 2013 |
| 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 | 58 | 2017 |
| On Spectral Stability of Solitary Waves of Nonlinear DiracEquation in 1D⋆⋆ G Berkolaiko, A Comech Mathematical Modelling of Natural Phenomena 7 (2), 13-31, 2012 | 57 | 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 | 53 | 2003 |
Peter KuchmentArthur and Mary Owen Chair, University Distinguished Professor of Mathematics, Texas A&M UniversityVerified email at tamu.edu
