Quantum ergodicity for quantum graphs without back-scattering
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Publication:295517
DOI10.1007/s00023-015-0435-8zbMath1341.81026arXiv1507.06520OpenAlexW3102030539MaRDI QIDQ295517
F. Blanchet-Sadri, M. Dambrine
Publication date: 13 June 2016
Published in: Annales Henri Poincaré (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.06520
Quantum chaos (81Q50) (S)-matrix theory, etc. in quantum theory (81U20) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Quantum ergodicity on regular graphs, Scattering resonances of large weakly open quantum graphs, Quantum ergodicity for large equilateral quantum graphs, Quantum unique ergodicity for Cayley graphs of quasirandom groups, Maximal scarring for eigenfunctions of quantum graphs, Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization
Cites Work
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- Expansion of random graphs: new proofs, new results
- Ergodicité et limite semi-classique. (Ergodicity and semi-classical limit)
- Eigenfunction statistics on quantum graphs
- Upper bounds on the rate of quantum ergodicity
- Quantum variance and ergodicity for the baker's map
- Explicit group-theoretical constructions of combinatorial schemes and their application to the design of expanders and concentrators
- Note on the girth of Ramanujan graphs
- On the rate of quantum ergodicity for quantised maps
- Uniform distribution of eigenfunctions on compact hyperbolic surfaces
- Ramanujan graphs
- Eigenvalues and expanders
- A probabilistic proof of an asymptotic formula for the number of labelled regular graphs
- Cubic Ramanujan graphs
- The asymptotic number of labeled graphs with given degree sequences
- Periodic orbit theory and spectral statistics for quantum graphs
- On the rate of quantum ergodicity. I: Upper bounds
- Existence and explicit constructions of \(q+1\) regular Ramanujan graphs for every prime power \(q\)
- No quantum ergodicity for star graphs
- Short cycles in random regular graphs
- Ergodicity of eigenfunctions for ergodic billiards
- Equipartition of the eigenfunctions of quantized ergodic maps on the torus
- Semi-classical measures on quantum graphs and the Gauß map of the determinant manifold
- Quantum ergodicity on large regular graphs
- Interlacing families. I: Bipartite Ramanujan graphs of all degrees
- Quantum ergodicity for graphs related to interval maps
- The semiclassical theory of discontinuous systems and ray-splitting billiards
- Relationship between scattering matrix and spectrum of quantum graphs
- Expander graphs and their applications
- A proof of Alon’s second eigenvalue conjecture and related problems
- Regular and irregular semiclassical wavefunctions
- On the number of bouncing ball modes in billiards
- Spectra of hyperbolic surfaces
- Unitary-stochastic matrix ensembles and spectral statistics
- Weyl's law and quantum ergodicity for maps with divided phase space (with an appendix Converse quantum ergodicity)
- Relaxation to equilibrium and the spacing distribution of zeros of the Riemann ζ function
- Index theorems for quantum graphs
- Quantum graphs where back-scattering is prohibited
