7 papers
Complex spacing ratio statistics in the partially open asymmetric quantum baker map
Leonardo Ermann, Pablo Sesin, Alejandro M. F. Rivas +2
We study the complex eigenvalue statistics of the asymmetric quantum baker map with partial projective openings. The classical asymmetric baker map, with its discontinuity at $q=2/…
Thermodynamic description of wealth inequality in the world
Klaus M. Frahm, Leonardo Ermann, Dima L. Shepelyansky
According to the recent Wealth Thermalization Hypothesis (WTH) the wealth inequality in the world is described by the Rayleigh-Jeans (RJ) thermal distribution of interacting agents…
Boltzmann-Loschmidt dispute reloaded quantum 150 years later
Leonardo Ermann, Alexei D. Chepelianskii, Dima L. Shepelyansky
The Boltzmann-Loschmidt dispute of 1876 questioned the possibility of a statistical irreversible description by time reversible classical equations of motion of atoms. Here we show…
Dynamical thermalization, Rayleigh-Jeans condensate, vortexes and wave collapse in quantum chaos fibers and fluid of light
Leonardo Ermann, Alexei D. Chepelianskii, Dima L. Shepelyansky
We study analytically and numerically the time evolution of a nonlinear field described by the nonlinear Schrödinger equation in a chaotic -shape billiard. In absence of nonlin…
Opinion formation in Wikipedia Ising networks
Leonardo Ermann, Klaus M. Frahm, Dima L. Shepelyansky
We study properties of opinion formation on Wikipedia Ising Networks. Each Wikipedia article is represented as a node and links are formed by citations of one article to another ge…
Confrontation of capitalism and socialism in Wikipedia networks
Leonardo Ermann, Dima L. Shepelyansky
We introduce the Ising Network Opinion Formation (INOF) model and apply it for the analysis of networks of 6 Wikipedia language editions. In the model, Ising spins are placed at ne…