We propose an efficient strategy to infer sparse Hopfield network based on magnetizations and pairwise correlations measured through Glauber samplings. This strategy incorporates the ℓ <Subscript>1</Subscript> regularization into the Bethe approximation by a quadratic approximation to the log-likelihood, and is able...</subscript>

We study the Blume-Capel model on the square lattice. To allow for wetting and interfacial adsorption, the spins on opposite boundaries are fixed in two different states, “+1” and “−1”, with reduced couplings at one of the boundaries. Using mainly Monte Carlo techniques, of Metropolis...

We present a systemical study on the thermodynamic and physical properties of Ti<Subscript>2</Subscript>CoIn and Ti<Subscript>2</Subscript>NiIn by using first-principles calculations. Both alloys are found to be half-metallic ferromagnets with a total spin magnetic moment per formula unit of 2.00 and 3.00μ <Subscript> B </Subscript>. The stability is evaluated...</subscript></subscript></subscript>

We present a statistical analysis of earthquake magnitude sequences in terms of the visibility graph method. Magnitude time series from Italy, Southern California, and Mexico are transformed into networks and some organizational graph properties are discussed. Connectivities are characterized by...

We investigate the role of clustering on the critical behavior of the contact process (CP) on small-world networks using the Watts-Strogatz (WS) network model with an edge rewiring probability p. The critical point is well predicted by a homogeneous cluster-approximation for the limit of...

Modules are common functional and structural properties of many social, technical and biological networks. Especially for biological systems it is important to understand how modularity is related to function and how modularity evolves. It is known that time-varying or spatially organized goals...

We consider classical nonlinear oscillators on hexagonal lattices. When the coupling between the elements is repulsive, we observe coexisting states, each one with its own basin of attraction. These states differ by their degree of synchronization and by patterns of phase-locked motion. When...

The motion of a vortex filament in superfluid <Superscript>4</Superscript>He is considered by using the Hall-Vinen-Bekarevich-Khalatnikov (HVBK) [H.E. Hall, W.F. Vinen, Proc. Roy. Soc. Lond. A <Emphasis Type="Bold">238, 204 (1956); H.E. Hall, W.F. Vinen, Proc. Roy. Soc. Lond. A <Emphasis Type="Bold">238, 215 (1956); I.L. Bekarevich, I.M. Khalatnikov, Sov. Phys. J....</emphasis></emphasis></superscript>

Using a recently proposed algorithmic scheme for correlation dimension analysis of hyperchaotic attractors, we study two well-known hyperchaotic flows and two standard time delayed hyperchaotic systems in detail numerically. We show that at the transition to hyperchaos, the nature of the scaling...

We study the time evolution of ranking and spectral properties of the Google matrix of English Wikipedia hyperlink network during years 2003–2011. The statistical properties of ranking of Wikipedia articles via PageRank and CheiRank probabilities, as well as the matrix spectrum, are shown to...