Producción CyT
Artículo
Autoría
ERMANN, LEONARDO
;
Dima L. Shepelyansky
Fecha
2010
Editorial y Lugar de Edición
AMER PHYSICAL SOC
Revista
PHYSICAL REVIEW E,
vol. 81
(pp. 36221-36228)
AMER PHYSICAL SOC
Resumen
Información suministrada por el agente en
SIGEVA
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.
Ver más
Ver menos
Palabras Clave
dynamical systemscomplex networksPerron-Frobenius operator