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Spectra of sparse regular graphs with loops
sparse regular graphs loops Statistical Mechanics
2011/10/9
Abstract: We derive exact equations that determine the spectra of undirected and directed sparsely connected regular graphs containing loops of arbitrary length. The implications of our results to the...
Energy spectra of gravity and capillary waves with narrow initial excitation
Energy spectra gravity capillary waves narrow initial excitation
2011/8/4
Abstract: In this Letter we present a general method for describing discrete modes' generation in a turbulent wave system with narrow initial excitation. The method is based on the mechanism of modula...