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pro vyhledávání: '"Hudgins, Tori"'
For families of 4-regular directed circulant graphs with $n$ vertices, we count the number of primitive periodic orbits of length up to at least $n$. The relevant counting techniques are then extended to count the number of primitive pseudo orbits (s
Externí odkaz:
http://arxiv.org/abs/2107.13051
Autor:
Harrison, Jon, Hudgins, Tori
Publikováno v:
EPL 138 (2022) 30002
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 we evaluate a spectral statistic of chaotic 4-regular quantum graphs f
Externí odkaz:
http://arxiv.org/abs/2101.00006
Autor:
Harrison, Jon, Hudgins, Tori
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 can be evaluated in terms of periodic orbits for a system with chaoti
Externí odkaz:
http://arxiv.org/abs/2011.05213