Eigenvalue distribution of diluted random matrix ensemble with correlated entries appearing in the random graphs theory

Автор(и)

  • V. V. Vengerovsky B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61103, Ukraine

Ключові слова:

random matrises, random graphs

Анотація

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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Як цитувати

(1)
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.

Номер

Том 1 № 1 (2005)

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