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Titlebook: Mathematical Technology of Networks; Bielefeld, December Delio Mugnolo Conference proceedings 2015 Springer International Publishing Switz

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Springer Proceedings in Mathematics & Statisticshttp://image.papertrans.cn/m/image/626628.jpg
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Conference proceedings 2015ture is too complicated to be known in detail. Besides its importance in applied sciences, the field is increasingly attracting the interest of mathematicians and theoretical physicists also because of the fundamental phenomena (synchronization, phase transitions etc.) that can be studied in the rel
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Intrinsic Metrics on Graphs: A Survey,uch as Liouville type theorems for harmonic functions, essential selfadjointness, stochastic completeness and upper escape rates. Furthermore, we determine the spectrum as a set via solutions, discuss upper and lower spectral bounds by isoperimetric constants and volume growth and study .-independence of spectra under a volume growth assumption.
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System/Environment Duality of Nonequilibrium Network Observables,es fields with sources. We interpret duality as reversing the role of system and environment, and discuss generalization to nonplanar graphs. The results are based on two theorems regarding the representation of bilinear and quadratic forms over the edge vector space of an oriented graph in terms of observables associated to cycles and cocycles.
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2194-1009 hysics, random walks, operator theory and complex systems.CoDynamical models on graphs or random graphs are increasingly used in applied sciences as mathematical tools to study complex systems whose exact structure is too complicated to be known in detail. Besides its importance in applied sciences,
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