426 citations · 5.6k across the 221 of their papers we have counts for
13 papers · 1 filter
Wikipedia Ranking of World Universities
José Lages, Antoine Patt, Dima L. Shepelyansky
We use the directed networks between articles of 24 Wikipedia language editions for producing the Wikipedia Ranking of World Universities (WRWU) using PageRank, 2DRank and CheiRank…
Freed by interaction kinetic states in the Harper model
Klaus M. Frahm, Dima L. Shepelyansky
We study the problem of two interacting particles in a one-dimensional quasiperiodic lattice of the Harper model. We show that a short or long range interaction between particles l…
Dynamical thermalization in Bose-Hubbard systems
Peter Schlagheck, Dima L. Shepelyansky
We numerically study a Bose-Hubbard ring of finite size with disorder containing a finite number of bosons that are subject to an on-site two-body interaction. Our results show tha…
Delocalization of two interacting particles in the two-dimensional Harper model
K. M. Frahm, D. L. Shepelyansky
We study the problem of two interacting particles in a two-dimensional quasiperiodic potential of the Harper model. We consider an amplitude of the quasiperiodic potential such tha…
Fractal structures for the Jacobi Hamiltonian of restricted three-body problem
G. Rollin, J. Lages, D. L. Shepelyansky
We study the dynamical chaos and integrable motion in the planar circular restricted three-body problem and determine the fractal dimension of the spiral strange repeller set of no…
Algebraic statistics of Poincaré recurrences in DNA molecule
Alexey K. Mazur, D. L. Shepelyansky
Statistics of Poincaré recurrences is studied for the base-pair breathing dynamics of an all-atom DNA molecule in realistic aqueous environment with thousands of degrees of freedom…