Hyunggyu Park

TL;DR: The betweenness centrality is proposed as a good indicator for synchronizability and investigated the effects of various factors such as the degree, characteristic path length, heterogeneity, and betweennesscentrality on synchronization to find a consistent trend between the synchronization and the betweennessCentrality.

TL;DR: In this article, the effects of a stochastic reset to its initial configuration in the exactly solvable one-dimensional coagulation diffusion process were studied, and a simple physical picture emerged: the reset mainly changes the behaviour at larger distance scales, while at smaller length scales, the non-trivial correlation of the model without a reset dominate.

TL;DR: Simulations of locally coupled oscillators in d dimensions reveal two types of frequency entrainment: mean-field behavior at d>4 and aggregation of compact synchronized domains in three and four dimensions.

TL;DR: Collective behavior of locally coupled limit-cycle oscillators with random intrinsic frequencies, spatially extended over d -dimensional hypercubic lattices is studied and critical behavior near the synchronization transition into the fully random phase is unveiled via numerical investigation.

TL;DR: A finite-size-scaling (FSS) theory is proposed for various models in complex networks and based on the droplet-excitation (hyperscaling) argument, the values of the FSS exponents for the Ising model, the susceptible-infected-susceptible model, and the contact process are conjecture.