155 citations · 698 across the 55 of their papers we have counts for
5 papers · 1 filter
Spectral properties of Google matrix of Wikipedia and other networks
Leonardo Ermann, Klaus M. Frahm, Dima L. Shepelyansky
We study the properties of eigenvalues and eigenvectors of the Google matrix of the Wikipedia articles hyperlink network and other real networks. With the help of the Arnoldi metho…
Symmetry breaking for ratchet transport in presence of interactions and magnetic field
Leonardo Ermann, Alexei D. Chepelianskii, Dima L. Shepelyansky
We study the microwave induced ratchet transport of two-dimensional electrons on an oriented semidisk Galton board. The magnetic field symmetries of ratchet transport are analyzed…
Classical transients and the support of open quantum maps
Gabriel G. Carlo, D. A. Wisniacki, Leonardo Ermann +2
The basic ingredients in a semiclassical theory are the classical invariant objects serving as a support for the quantization. Recent studies, mainly obtained on quantum maps, have…
Transient features of quantum open maps
Leonardo Ermann, Gabriel G. Carlo, Juan M. Pedrosa +1
We study families of open chaotic maps that classically share the same asymptotic properties -- forward and backwards trapped sets, repeller dimensions, escape rate -- but differ i…
Ecological analysis of world trade
Leonardo Ermann, Dima L. Shepelyansky
Ecological systems have a high level of complexity combined with stability and rich biodiversity. Recently, the analysis of their properties and evolution has been pushed forward o…