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Ram Band
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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
932009
Linear representations and isospectrality with boundary conditions
O Parzanchevski, R Band
Journal of Geometric Analysis 20, 439-471, 2010
652010
Quantum graphs which optimize the spectral gap
R Band, G Lévy
Annales Henri Poincaré 18, 3269-3323, 2017
632017
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
622006
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
552012
Nodal domains on graphs-How to count them and why?
R Band, I Oren, U Smilansky
arXiv preprint arXiv:0711.3416, 2007
512007
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
482014
Universality of the frequency spectrum of laminates
G Shmuel, R Band
Journal of the Mechanics and Physics of Solids 92, 127-136, 2016
462016
Universality of the momentum band density of periodic networks
R Band, G Berkolaiko
Physical Review Letters 111 (13), 130404, 2013
402013
Scattering from isospectral quantum graphs
R Band, A Sawicki, U Smilansky
Journal of Physics A: Mathematical and Theoretical 43 (41), 415201, 2010
382010
Nodal statistics on quantum graphs
L Alon, R Band, G Berkolaiko
Communications in Mathematical Physics 362, 909-948, 2018
362018
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
332012
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
292012
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
232015
Isospectral graphs with identical nodal counts
I Oren, R Band
Journal of Physics A: Mathematical and Theoretical 45 (13), 135203, 2012
232012
Quotients of graph operators by symmetry representations
R Band, G Berkolaiko, CH Joyner, W Liu
arXiv preprint arXiv:1711.00918, 2017
222017
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
162012
Universality of nodal count distribution in large metric graphs
L Alon, R Band, G Berkolaiko
Experimental Mathematics 33 (2), 301-335, 2024
132024
Neumann domains on quantum graphs
L Alon, R Band
Annales Henri Poincaré 22 (10), 3391-3454, 2021
122021
Neumann domains on graphs and manifolds
L Alon, R Band, M Bersudsky, S Egger
Analysis and Geometry on Graphs and Manifolds 461 (203-249), 1.2, 2020
122020
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Articles 1–20