4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.CO2024
Periodic orbits on 2-regular circulant digraphs
Isaac Echols, Jon Harrison, Tori Hudgins
Periodic orbits (equivalence classes of closed paths up to cyclic shifts) play an important role in applications of graph theory. For example, they appear in the definition of the…
quant-ph2021★ 4 cited
Periodic orbit evaluation of a spectral statistic of quantum graphs without the semiclassical limit
Jon Harrison, Tori Hudgins
Energy level statistics of quantized chaotic systems have been evaluated in the semiclassical limit via their periodic orbits using the Gutzwiller and related trace formulae. Here…
math-ph2020★ 1 cited
Complete Dynamical Evaluation of the Characteristic Polynomial of Binary Quantum Graphs
Jon Harrison, Tori Hudgins
We evaluate the variance of coefficients of the characteristic polynomial for binary quantum graphs using a dynamical approach. This is the first example where a spectral statistic…