The changing power flow pattern of the power system, with inclusion of large-scale renewable energy sources in the distribution side of the network, has been modeled by complex network framework based bidirectional graph. The bidirectional graph accommodates the reverse power flowing back from...

Recent research has identified the heterogeneity as crucial for the evolution of cooperation in spatial population. However, the influence of heterogeneous noise is still lacking. Inspired by this interesting question, in this work, we try to incorporate heterogeneous noise into the evaluation...

We introduce zealots of one opinion in the voter model on a complete graph and examine how they affect consensus achievement. Using first-step analysis for Markov chains to obtain an exact solution, we find that the mean consensus time scales with the population size N. Increasing the number of...

Recent research works have been pursued in connection with network synchronizability under various constraints for different topological structures and evolving mechanisms. However, the fundamental question of how the synchronizability of the networks relates to accelerated growth and ad hoc...

Permutation approach is suggested as a method to investigate financial time series in micro scales. The method is used to see how high frequency trading in recent years has affected the micro patterns which may be seen in financial time series. Tick to tick exchange rates are considered as...

In this paper, a framework is given to model the network of networks and to investigate the vulnerability of the network of networks subjected to failures. Because there are several redundant systems in infrastructure systems, the dependent intensity between two networks is introduced and...

In the course of recent fifteen years the network analysis has become a powerful tool for studying financial markets. In this work we analyze stock markets of the USA and Sweden. We study cluster structures of a market network constructed from a correlation matrix of returns of the stocks traded...

In this paper, using path integral techniques, we derive a formula for a propagator arising in the study of occupation time derivatives. Using this result we derive a fair price for the case of the cumulative Parisian option. After confirming the validity of the derived result using Monte Carlo...

Detecting evolutionary community structure in dynamic weighted networks is important for understanding the structure and functions of networks. In this paper, an algorithm which considers the historic community structure of networks is developed to detect evolutionary community structure in...

We study the equilibrium points of a system of equations corresponding to a Bass based model that describes the diffusion of two brands in competition. To increase the understanding of the effects of the cross-brand parameters, we perform a sensitivity analysis. Finally, we show a comparison...