Eigenvalue distribution of diluted random matrix ensemble with correlated entries appearing in the random graphs theory
Ключові слова:
random matrises, random graphsАнотація
Existing of weak limit in probability of counting measures of some ensemble of the diluted random matrices is proved. The Stiltjes transform of limiting measure is expressed by the function. This function is unique solution of the functional equation.
Mathematics Subject Classification: 60B10, 60H30.
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Vengerovsky, V. V. Eigenvalue distribution of diluted random matrix ensemble with correlated entries appearing in the random graphs theory. Журн. мат. фіз. анал. геом. 2005, 1, 35-52.
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