We conduct cluster analysis of a class locally asymptotically self-similar stochastic processes with finite covariance structures, which includes Brownian motion, fractional and multifractional motion as paradigmatic examples. Given the true number clusters, new covariance-based dissimilarity measure is introduced, based on we obtain approximately consistent algorithms for clustering processes....

Cluster number counts can be used to test dark energy models. We investigate dark energy candidates which are coupled to dark matter. We analyze the cluster number counts dependence on the amount of dark matter coupled to dark energy. Further more, we study how dark energy inhomogeneities affect cluster abundances. It is shown that increasing the coupling reduces significantly the cluster numbe...

A sensor network is made up of a large number of sensors with limited energy. Sensors collect environmental data then send them to the sink. Energy efficiency and thereby increasing the lifetime of sensor networks is important. Direct transfer of the data from each node to the central station will increase energy consumption. Previous research has shown that the organization of nodes in cluster...