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This booklet addresses a brand new interdisciplinary region rising at the border among a number of components of arithmetic, physics, chemistry, nanotechnology, and laptop technological know-how. the focal point this is on difficulties and strategies regarding graphs, quantum graphs, and fractals that parallel these from differential equations, differential geometry, or geometric research. additionally incorporated are such assorted issues as quantity thought, geometric crew idea, waveguide idea, quantum chaos, quantum twine platforms, carbon nano-structures, metal-insulator transition, machine imaginative and prescient, and verbal exchange networks. This quantity encompasses a specific selection of professional studies at the major instructions in research on graphs (e.g., on discrete geometric research, zeta-functions on graphs, lately rising connections among the geometric crew thought and fractals, quantum graphs, quantum chaos on graphs, modeling waveguide platforms and modeling quantum graph platforms with waveguides, keep an eye on conception on graphs), in addition to study articles.
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Extra resources for Analysis on Graphs and Its Applications (Proceedings of Symposia in Pure Mathematics)
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