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Titlebook: Discrete and Continuous Models in the Theory of Networks; Fatihcan M. Atay,Pavel B. Kurasov,Delio Mugnolo Book 2020 Springer Nature Switze

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Jörg Bochow,Peter Raupach,Mark Wahrenburgantum chaotic graphs with preserved time reversal symmetry. We demonstrate that, if resonance frequencies are randomly removed from the spectra, the experimental results for the short-range and long-range spectral fluctuations are in good agreement with theoretical predictions of the missing-level s
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Description de la base de donnéesbtained for permutation invariant vertex conditions, which, amongst others, include . and ..-type conditions. We show that adding edges to the graph or joining vertices changes the eigenvalues monotonically. However, the monotonicity properties may differ from what is known for the previously studie
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https://doi.org/10.1007/978-2-287-39310-5rent models and analyze how properties like connectedness and degree distributions are inherited by differently constructed subgraphs. We also give a formula for the variance of the degrees of fixed nodes in the preferential attachment model and additionally draw a connection between weighted graphs
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Description de la base de donnéesounts to showing that the contribution of non-universal (or massive) modes vanishes in the limit of infinite graph size. Here we pay particular attention to the fact that the massive modes are defined in a coset space. Using the assumption that the spectral gap of the Perron-Frobenius operator remai
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978-3-030-44099-2Springer Nature Switzerland AG 2020
发表于 2025-3-28 04:23:51 | 显示全部楼层
Beispiele für besondere AnwendungenIn this paper we review recent work that has been done on quantum many-particle systems on metric graphs. Topics include the implementation of singular interactions, Bose-Einstein condensation, solvable models and spectral properties of some simple models in connection with superconductivity in quantum wires.
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