Discrete and Continuous Models in the Theory of Networks
Springer International Publishing (Verlag)
978-3-030-44096-1 (ISBN)
This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the conclusive conference organized at Bielefeld in December 2017. The contributions consist of original research papers: they mirror the scientific developments fostered by this research program or the state-of-the-art results presented during the conclusive conference.
Stability matters for reaction diffusion-equations on metric graphs under the anti-Kirchhoff vertex condition.- Many-particle quantum graphs: A review.- Deterministic and stochastic mean-field SIRS models on heterogeneous networks.- Krein formula and convergence of Hamiltonians with scald potentials in dimension one.- Ground states of the L2-critical NLS equation with localized nonlinearity on a tadpole graph.- An asymptotic expansion of the trace of the heat kernel of a singular two-particle contact interaction in one-dimension.- Modeling dynamic coupling in social interactions.- A note on Cheeger inequalities for piecewise at surfaces.- Unravelling topological determinants of excitable dynamics on graphs using analytical mean-field approaches.- Spectral zeta functions.- A family of diameter-based eigenvalue bounds for quantum graphs.- Missing-level statistics in chaotic microwave networks versus level statistics of partially chaotic systems.- Signatures, lifts, and eigenvalues of graphs.- Strong Isoperimetric Inequality for Tessellating Quantum Graphs.- Spectral monotonicity for Schrödinger operators on metric graphs.- Random graphs and their subgraphs.- Massive Modes for Quantum Graphs.
Erscheinungsdatum | 05.09.2020 |
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Reihe/Serie | Operator Theory: Advances and Applications |
Zusatzinfo | XX, 357 p. 69 illus., 36 illus. in color. |
Verlagsort | Cham |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 727 g |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Technik ► Maschinenbau | |
Schlagworte | discrete Laplacians • eigenvalues • evolution on graphs • Inverse Problems • Quantum graphs • real-world networks |
ISBN-10 | 3-030-44096-6 / 3030440966 |
ISBN-13 | 978-3-030-44096-1 / 9783030440961 |
Zustand | Neuware |
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