426 citations · 5.6k across the 221 of their papers we have counts for
5 papers · 1 filter
Google matrix analysis of directed networks
Leonardo Ermann, Klaus M. Frahm, Dima L. Shepelyansky
In past ten years, modern societies developed enormous communication and social networks. Their classification and information retrieval processing become a formidable task for the…
Interactions of cultures and top people of Wikipedia from ranking of 24 language editions
Young-Ho Eom, Pablo Aragón, David Laniado +3
Wikipedia is a huge global repository of human knowledge, that can be leveraged to investigate interwinements between cultures. With this aim, we apply methods of Markov chains and…
Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
Leonardo Ermann, Dima L. Shepelyansky
We study numerically the frequency modulated kicked nonlinear rotator with effective dimension . We follow the time evolution of the model up to kicks and determi…
Chaotic enhancement of dark matter density in binary systems
G. Rollin, J. Lages, D. L. Shepelyansky
We study the capture of galactic dark matter particles (DMP) in two-body and few-body systems with a symplectic map description. This approach allows modeling the scattering of $10…
Poisson statistics of PageRank probabilities of Twitter and Wikipedia networks
K. M. Frahm, D. L. Shepelyansky
We use the methods of quantum chaos and Random Matrix Theory for analysis of statistical fluctuations of PageRank probabilities in directed networks. In this approach the effective…