31 citations · 31 across the 2 of their papers we have counts for
2 papers
math-ph2010
Trace Formulae and Spectral Statistics for Discrete Laplacians on Regular Graphs (II)
Idan Oren, Uzy Smilansky
Following the derivation of the trace formulae in the first paper in this series, we establish here a connection between the spectral statistics of random regular graphs and the pr…
math-ph2009★ 31 cited
Trace Formulae and Spectral Statistics for Discrete Laplacians on Regular Graphs (I)
Idan Oren, Amit Godel, Uzy Smilansky
Trace formulae for d-regular graphs are derived and used to express the spectral density in terms of the periodic walks on the graphs under consideration. The trace formulae depend…