Using advanced numerical approaches based on optimization algorithms, much progress
has been achieved for the study of the ground-state and low-temperature behavior of two …

The Ising spin glass in two dimensions exhibits rich behavior with subtle differences in the
scaling for different coupling distributions. We use recently developed mappings to graph …

We study the dynamics of opinion formation in the situation where changing opinion
involves a cost for the agents. To do so we couple the dynamics of a heterogeneous …

We studied some magnetic behaviors of the Blume-Capel (BC) model in a site diluted
triangular lattice by means of the effective-field theory (EFT) with correlations. The effects of …

We perform numerical simulations to study the optimal path problem on disordered
hierarchical graphs with effective dimension d eff≈ 2.32. Therein, edge energies are drawn …

We investigate both analytically and numerically the ensemble of minimum-weight loops in
the negative-weight percolation model on random graphs with fixed connectivity and …

Abstract The kinetic spin-3/2 Ising system in the presence of crystal and external oscillating
magnetic fields on the triangular lattice (TL) is examined within the mean-field approximation …

We study numerically the geometrical properties of minimally weighted paths that appear in
the minimally weighted path (MWP) model on two-dimensional lattices assuming a …

Dynamic magnetic properties of the kinetic spin-1 Ising system on a triangular lattice are
investigated by utilizing the mean field theory based on Glauber-type stochastic dynamics. In …

By means of numerical simulations we investigate the configurational properties of densely
and fully packed configurations of loops in the negative-weight percolation (NWP) model. In …