426 citations · 5.6k across the 221 of their papers we have counts for
7 papers · 1 filter
Google matrix of Bitcoin network
Leonardo Ermann, Klaus M. Frahm, Dima L. Shepelyansky
We construct and study the Google matrix of Bitcoin transactions during the time period from the very beginning in 2009 till April 2013. The Bitcoin network has up to a few million…
Floquet theory of microwave absorption by an impurity in two dimensional electron gas
A. D. Chepelianskii, D. L. Shepelyansky
We investigate the dynamics of a two-dimensional electron gas (2DEG) under circular polarized microwave radiation in presence of dilute localized impurities. Inspired by recent dev…
Quantum chaos of dark matter in the Solar System
D. L. Shepelyansky
We perform time-dependent analysis of quantum dynamics of dark matter particles in the Solar System. It is shown that this problem has similarities with a microwave ionization of R…
Analysis of world terror networks from the reduced Google matrix of Wikipedia
Samer El Zant, Klaus M. Frahm, Katia Jaffres-Runser +1
We apply the reduced Google matrix method to analyse interactions between 95 terrorist groups and determine their relationships and influence on 64 world countries. This is done on…
Kapitza stabilization of a repulsive Bose-Einstein condensate in an oscillating optical lattice
J. Martin, B. Georgeot, D. Guéry-Odelin +1
We show that the Kapitza stabilization can occur in the context of nonlinear quantum fields. Through this phenomenon, an amplitude-modulated lattice can stabilize a Bose-Einstein c…
Chaotic zones around rotating small bodies
José Lages, Dima L. Shepelyansky, Ivan I. Shevchenko
Small bodies of the Solar system, like asteroids, trans-Neptunian objects, cometary nuclei, planetary satellites, with diameters smaller than one thousand kilometers usually have i…