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Discrete and Continuous Models in the Theory of Networks

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Cover of 'Discrete and Continuous Models in the Theory of Networks'

Table of Contents

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    Book Overview
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    Chapter 1 Stability Matters for Reaction–Diffusion–Equations on Metric Graphs Under the Anti-Kirchhoff Vertex Condition
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    Chapter 2 Many-Particle Quantum Graphs: A Review
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    Chapter 3 Deterministic and Stochastic Mean-Field SIRS Models on Heterogeneous Networks
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    Chapter 4 Kreı̆n Formula and Convergence of Hamiltonians with Scaled Potentials in Dimension One
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    Chapter 5 Ground States of the L 2-Critical NLS Equation with Localized Nonlinearity on a Tadpole Graph
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    Chapter 6 An Asymptotic Expansion of the Trace of the Heat Kernel of a Singular Two-particle Contact Interaction in One-dimension
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    Chapter 7 Modeling Dynamic Coupling in Social Interactions
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    Chapter 8 A Note on Cheeger Inequalities for Piecewise Flat Surfaces
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    Chapter 9 Unravelling Topological Determinants of Excitable Dynamics on Graphs Using Analytical Mean-field Approaches
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    Chapter 10 Spectral Zeta Functions
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    Chapter 11 A Family of Diameter-Based Eigenvalue Bounds for Quantum Graphs
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    Chapter 12 Missing-Level Statistics in Chaotic Microwave Networks Versus Level Statistics of Partially Chaotic Systems
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    Chapter 13 Signatures, Lifts, and Eigenvalues of Graphs
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    Chapter 14 Strong Isoperimetric Inequality for Tessellating Quantum Graphs
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    Chapter 15 Spectral Monotonicity for Schrödinger Operators on Metric Graphs
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    Chapter 16 Random Graphs and Their Subgraphs
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    Chapter 17 Massive Modes for Quantum Graphs
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Title
Discrete and Continuous Models in the Theory of Networks
Published by
Springer International Publishing, January 2020
DOI 10.1007/978-3-030-44097-8
ISBNs
978-3-03-044096-1, 978-3-03-044097-8
Editors

Fatihcan M. Atay, Pavel B. Kurasov, Delio Mugnolo

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