Ram Band

Preprints

• R. Band,
  The Nodal Count {0,1,2,3,...} Implies the Graph is a Tree.
  Submitted to Philosophical Transactions of the Royal Society

Published

1. R. Band, C. Joyner and J. Harrison,
   Finite pseudo orbit expansions for spectral quantities of quantum graphs.
   J. Phys. A: Math. Theor. 45 (2012) 325204.
2. I. Oren and R. Band,
   Isospectral graphs with identical nodal counts.
   J. Phys. A: Math. Theor. 45 (2012) 135203.
3. A. Aronovitch, R. Band, D. Fajman and S. Gnutzmann,
   Nodal domains of a non-separable problem - the right angled isosceles triangle.
   J. Phys. A: Math. Theor. 45 (2012) 085209. Featured article of the issue.
4. R. Band, G. Berkolaiko, H. Raz and U. Smilansky,
   The Number of Nodal Domains on Quantum Graphs as a Stability Index of Graph Partitions.
   Communications in Mathematical Physics 311 (2012) 815.
5. R. Band, A. Sawicki and U. Smilansky,
   Note on the Role of Symmetry in Scattering from Isospectral Graphs and Drums.
   Acta Physica Polonica A, Vol. 120 (2011), Proceedings of the 5th Workshop on Quantum Chaos and Localisation Phenomena.
6. R. Band, G. Berkolaiko and U. Smilansky,
   Dynamics of Nodal Points and the Nodal Count on a Family of Quantum Graphs.
   Ann. Henri Poincaré 13 (2011) 145.
7. R. Band, A. Sawicki, and U. Smilansky,
   Scattering from isospectral quantum graphs.
   J. Phys. A: Math. Theor. 43 (2010) 415201.
8. O. Parzanchevski and R. Band,
   Linear Representations and Isospectrality with Boundary Conditions.
   Journal of Geometric Analysis 20, 2 (2010) 439-471.
9. R. Band, O. Parzanchevski and G. Ben-Shach,
   The Isospectral Fruits of Representation Theory: Quantum Graphs and Drums.
   J. Phys. A: Math. Theor. 42 (2009) 175202. Best paper prize of the Journal of Physics A'.
10. R. Band, I. Oren and U. Smilansky,
    Nodal domains on graphs - how to count them and why?.
    Analysis on Graphs and its applications Proc. Symp. Pure Math. (Providence, RI: American Mathematical Society) (2008) 5-28.
11. R. Band and U. Smilansky,
    Resolving the isospectrality of the dihedral graphs by counting nodal domains.
    Eur. Phys. J. Special Topics 145 (2007) 171-179.
12. R. Band, T. Shapira and U. Smilansky,
    Nodal domains on isospectral quantum graphs: the resolution of isospectrality.
    J. Phys. A: Math. Gen. 39 (2006) 13999-14014.