Quantum Cayley graphs for free groups
Mathematical Physics
2015-06-30 v1 Analysis of PDEs
math.MP
Abstract
Differential operators of Schrodinger type are considered on metric Cayley graphs of free groups with a minimal set of M generators. The potential and edge lengths may vary with the M edge types. Using novel methods, a set of M multipliers depending on the spectral parameter is found. These multipliers are used to construct the resolvent and characterize the spectrum
Cite
@article{arxiv.1506.08766,
title = {Quantum Cayley graphs for free groups},
author = {Robert Carlson},
journal= {arXiv preprint arXiv:1506.08766},
year = {2015}
}