29 citations · 86 across the 8 of their papers we have counts for
8 papers · 1 filter
Isospectral discrete and quantum graphs with the same flip counts and nodal counts
Jonas S. Juul, Christopher H. Joyner
The existence of non-isomorphic graphs which share the same Laplace spectrum (to be referred to as isospectral graphs) leads naturally to the following question: What additional in…
Quotients of graph operators by symmetry representations
Ram Band, Gregory Berkolaiko, Christopher H. Joyner +1
A finite dimensional operator that commutes with some symmetry group admits quotient operators, which are determined by the choice of associated representation. Taking the quotient…
Spectral statistics of the uni-modular ensemble
Christopher H. Joyner, Uzy Smilansky, Hans A. Weidenmüller
We investigate the spectral statistics of Hermitian matrices in which the elements are chosen uniformly from U (1), called the uni-modular ensemble (UME), in the limit of large mat…
The probability distribution of spectral moments for the Gaussian beta-ensembles
Tomasz Maciążek, Christopher H. Joyner, Uzy Smilansky
We derive the joint probability distribution of the first two spectral moments for the GE random matrix ensembles in N dimensions for any N. This is achieved by making use of tw…
Dyson's Brownian-motion model for random matrix theory - revisited. With an Appendix by Don Zagier
Christopher H. Joyner, Uzy Smilansky
We offer an alternative viewpoint on Dyson's original paper regarding the application of Brownian motion to random matrix theory (RMT). In particular we show how one may use the sa…
Spectral statistics of Bernoulli matrix ensembles - a random walk approach (I)
Christopher H. Joyner, Uzy Smilansky
We investigate the eigenvalue statistics of random Bernoulli matrices, where the matrix elements are chosen independently from a binary set with equal probability. This is achieved…
GSE statistics without spin
Christopher H. Joyner, Sebastian Müller, Martin Sieber
Energy levels statistics following the Gaussian Symplectic Ensemble (GSE) of Random Matrix Theory have been predicted theoretically and observed numerically in numerous quantum cha…
Finite pseudo orbit expansions for spectral quantities of quantum graphs
Ram Band, Jonathan M. Harrison, Christopher H. Joyner
We investigate spectral quantities of quantum graphs by expanding them as sums over pseudo orbits, sets of periodic orbits. Only a finite collection of pseudo orbits which are irre…