Lyndon word decompositions and pseudo orbits on \(q\)-nary graphs

DOI10.1016/j.jmaa.2018.09.058zbMath1400.68162arXiv1610.03808OpenAlexW2964103748WikidataQ129143968 ScholiaQ129143968MaRDI QIDQ1799763

Yanyan Li

Publication date: 19 October 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.03808

zbMATH Keywords

quantum chaosquantum graphLyndon word

Mathematics Subject Classification ID

Combinatorics on words (68R15) Quantum chaos (81Q50) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (1)

Complete dynamical evaluation of the characteristic polynomial of binary quantum graphs

Cites Work

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• Periodic orbit theory and spectral statistics for quantum graphs
• Finite pseudo orbit expansions for spectral quantities of quantum graphs
• Semiclassical theory of spectral rigidity
• Secular determinants of random unitary matrices
• Leading off-diagonal approximation for the spectral form factor for uniformly hyperbolic systems
• The autocorrelation function for spectral determinants of quantum graphs
• Spectral statistics for unitary transfer matrices of binary graphs
• Unitary-stochastic matrix ensembles and spectral statistics
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws
• Free differential calculus. IV: The quotient groups of the lower central series
• The algebra of quasi-symmetric functions is free over the integers

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