Anderson transition for Google matrix eigenstates
نویسندگان
چکیده
منابع مشابه
Anderson transition for Google matrix eigenstates
We introduce a number of random matrix models describing the Google matrix G of directed networks. The properties of their spectra and eigenstates are analyzed by numerical matrix diagonalization. We show that for certain models it is possible to have an algebraic decay of PageRank vector with the exponent similar to real directed networks. At the same time the spectrum has no spectral gap and ...
متن کاملAnderson transition for Google matrix eigenstates
We introduce a number of random matrix models describing the Google matrix G of directed networks. The properties of their spectra and eigenstates are analyzed by numerical matrix diagonalization. We show that for certain models it is possible to have an algebraic decay of PageRank vector with the exponent similar to real directed networks. At the same time the spectrum has no spectral gap and ...
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ژورنال
عنوان ژورنال: Annalen der Physik
سال: 2015
ISSN: 0003-3804
DOI: 10.1002/andp.201500110