Science and Technology Production
Article
Authorship
ERMANN, LEONARDO
;
Dima L. Shepelyansky
Date
2010
Publishing House and Editing Place
AMER PHYSICAL SOC
Magazine
PHYSICAL REVIEW E,
vol. 81
(pp. 36221-36228)
AMER PHYSICAL SOC
Summary
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We study the properties of the Google matrix of an Ulam network generated by intermittency maps. This network is created by the Ulam method which gives a matrix approximant for the Perron-Frobenius operator of dynamical map. The spectral properties of eigenvalues and eigenvectors of this matrix are analyzed. We show that the PageRank of the system is characterized by a power law decay with the exponent β dependent on map parameters and the Google damping factor α. Under certain condi...
We study the properties of the Google matrix of an Ulam network generated by intermittency maps. This network is created by the Ulam method which gives a matrix approximant for the Perron-Frobenius operator of dynamical map. The spectral properties of eigenvalues and eigenvectors of this matrix are analyzed. We show that the PageRank of the system is characterized by a power law decay with the exponent β dependent on map parameters and the Google damping factor α. Under certain conditions the PageRank is completely delocalized so that the Google search in such a situation becomes inefficient.
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Key Words
dynamical systemscomplex networksPerron-Frobenius operator