The isospectral fruits of representation theory: quantum graphs and drums R Band, O Parzanchevski, G Ben-Shach Journal of Physics A: Mathematical and Theoretical 42 (17), 175202, 2009 | 92 | 2009 |
Linear representations and isospectrality with boundary conditions O Parzanchevski, R Band Journal of Geometric Analysis 20, 439-471, 2010 | 65 | 2010 |
Nodal domains on isospectral quantum graphs: the resolution of isospectrality? R Band, T Shapira, U Smilansky Journal of Physics A: Mathematical and General 39 (45), 13999, 2006 | 62 | 2006 |
Quantum graphs which optimize the spectral gap R Band, G Lévy Annales Henri Poincaré 18, 3269-3323, 2017 | 59 | 2017 |
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 311, 815-838, 2012 | 54 | 2012 |
Nodal domains on graphs-How to count them and why? R Band, I Oren, U Smilansky arXiv preprint arXiv:0711.3416, 2007 | 51 | 2007 |
Universality of the frequency spectrum of laminates G Shmuel, R Band Journal of the Mechanics and Physics of Solids 92, 127-136, 2016 | 45 | 2016 |
The nodal count {0, 1, 2, 3,…} implies the graph is a tree R Band Philosophical Transactions of the Royal Society A: Mathematical, Physical …, 2014 | 45 | 2014 |
Universality of the momentum band density of periodic networks R Band, G Berkolaiko Physical Review Letters 111 (13), 130404, 2013 | 38 | 2013 |
Scattering from isospectral quantum graphs R Band, A Sawicki, U Smilansky Journal of Physics A: Mathematical and Theoretical 43 (41), 415201, 2010 | 37 | 2010 |
Nodal statistics on quantum graphs L Alon, R Band, G Berkolaiko Communications in Mathematical Physics 362, 909-948, 2018 | 34 | 2018 |
Finite pseudo orbit expansions for spectral quantities of quantum graphs R Band, JM Harrison, CH Joyner Journal of Physics A: Mathematical and Theoretical 45 (32), 325204, 2012 | 32 | 2012 |
Dynamics of nodal points and the nodal count on a family of quantum graphs R Band, G Berkolaiko, U Smilansky Annales Henri Poincare 13, 145-184, 2012 | 29 | 2012 |
Anomalous nodal count and singularities in the dispersion relation of honeycomb graphs R Band, G Berkolaiko, T Weyand Journal of Mathematical Physics 56 (12), 2015 | 23 | 2015 |
Isospectral graphs with identical nodal counts I Oren, R Band Journal of Physics A: Mathematical and Theoretical 45 (13), 135203, 2012 | 23 | 2012 |
Quotients of graph operators by symmetry representations R Band, G Berkolaiko, CH Joyner, W Liu arXiv preprint arXiv:1711.00918, 2017 | 21 | 2017 |
Nodal domains of a non-separable problem—the right-angled isosceles triangle A Aronovitch, R Band, D Fajman, S Gnutzmann Journal of Physics A: Mathematical and Theoretical 45 (8), 085209, 2012 | 15 | 2012 |
Universality of nodal count distribution in large metric graphs L Alon, R Band, G Berkolaiko Experimental Mathematics 33 (2), 301-335, 2024 | 12 | 2024 |
Note on the role of symmetry in scattering from isospectral graphs and drums R Band, A Sawicki, U Smilansky arXiv preprint arXiv:1110.2475, 2011 | 12 | 2011 |
Neumann domains on quantum graphs L Alon, R Band Annales Henri Poincaré 22 (10), 3391-3454, 2021 | 11 | 2021 |