Unitary-stochastic matrix ensembles and spectral statistics

DOI10.1088/0305-4470/34/41/307zbMath0995.82031arXivnlin/0104014OpenAlexW3103985430MaRDI QIDQ4533486

Gregor Tanner

Publication date: 11 June 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0104014

zbMATH Keywords

random matrix theoryMarkov processes on graphsunitary-stochastic transition matrices

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31)

Related Items (18)

Quantum ergodicity for quantum graphs without back-scattering ⋮ The Dirichlet Markov ensemble ⋮ Quantum ergodicity for graphs related to interval maps ⋮ Pointwise Weyl law for graphs from quantized interval maps ⋮ Value distribution of the eigenfunctions and spectral determinants of quantum star graphs ⋮ Maximal scarring for eigenfunctions of quantum graphs ⋮ Defect of a unitary matrix ⋮ On the form factor for the unitary group ⋮ Volume of the set of unistochastic matrices of order 3 and the mean Jarlskog invariant ⋮ No quantum ergodicity for star graphs ⋮ Relationship between scattering matrix and spectrum of quantum graphs ⋮ Lyndon word decompositions and pseudo orbits on \(q\)-nary graphs ⋮ Random stochastic matrices from classical compact Lie groups and symmetric spaces ⋮ Aspects of large random Markov kernels ⋮ Elastodynamics on graphs—wave propagation on networks of plates ⋮ Birkhoff's polytope and unistochastic matrices, \(N=3\) and \(N=4\) ⋮ Complete dynamical evaluation of the characteristic polynomial of binary quantum graphs ⋮ Rényi and Tsallis entropies related to eigenfunctions of quantum graphs

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