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Quantum Graphs and Their Applications

✍ Scribed by Robert Carlson, Stephen A. Fulling, and Peter Kuchment Gregory Berkolaiko (ed.)

Publisher
American Mathematical Society
Year
2006
Tongue
English
Leaves
322
Series
Contemporary Mathematics 415
Category
Library
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✦ Synopsis

This volume is a collection of articles dedicated to quantum graphs, a newly emerging interdisciplinary field related to various areas of mathematics and physics. The reader can find a broad overview of the theory of quantum graphs. The articles present methods coming from different areas of mathematics: number theory, combinatorics, mathematical physics, differential equations, spectral theory, global analysis, and theory of fractals. They also address various important applications, such as Anderson localization, electrical networks, quantum chaos, mesoscopic physics, superconductivity, optics, and biological modeling

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