In recent decades, a number of centrality metrics describing network properties of nodes have been proposed to rank the importance of nodes. In order to understand the correlations between centrality metrics and to approximate a high-complexity centrality metric by a strongly correlated...

This article is concerned with the numerical study and modelling of two aspects the formation of laminar holes in transitional turbulence of plane Couette flow (PCF). On the one hand, we consider quenches: sudden decreases of the Reynolds number R which force the formation of holes. The Reynolds...

Using the United Nations COMTRADE database [United Nations Commodity Trade Statistics Database, available at: <ExternalRef> <RefSource>http://comtrade.un.org/db/</RefSource> <RefTarget Address="http://comtrade.un.org/db/" TargetType="URL"/> </ExternalRef>. Accessed November (2014)] we construct the Google matrix G of multiproduct world trade between the UN countries and analyze the properties of trade flows...</refsource></externalref>

We frequently employ the intuitive concept that a multiplicative noise can expel a system towards the field values for which intensity is negligible. This process applies even when such noise effects are opposed to the deterministic forces. In addition, it has been stated that a system may be...

Trust is a collective, self-fulfilling phenomenon that suggests analogies with phase transitions. We introduce a stylized model for the build-up and collapse of trust in networks, which generically displays a first order transition. The basic assumption of our model is that whereas...

We consider energy (heat) transport in quantum systems, and establish a relationship between energy spread and energy current-current correlation function within linear response theory. The energy current-current correlation is related to thermal conductivity by the Green-Kubo formula, and thus...

We study the Immediate Exchange model, recently introduced by Heinsalu and Patriarca [Eur. Phys. J. B <Emphasis Type="Bold">87, 170 (2014)], who showed by simulations that the wealth distribution in this model converges to a Gamma distribution with shape parameter 2. Here we justify this conclusion analytically, in...</emphasis>

We investigate the dynamic relaxation of random walks on temporal networks by focusing in the recently proposed activity driven model [N. Perra, B. Gonçalves, R. Pastor-Satorras, A. Vespignani, Sci. Rep. <Emphasis Type="Bold">2, 469 (2012)]. For realistic activity distributions with a power-law form, we observe the...</emphasis>

The effect of high frequency field on the optical response of a two-level system to a low frequency field is considered. We demonstrate that the response is maximum for an appropriate amplitude of the high frequency field. We derive an approximate analytic expression for the linear optical...

We propose a preferential attachment model for network growth where new entering nodes have a partial information about the state of the network. Our main result is that the presence of bounded information modifies the degree distribution by introducing an exponential tail, while it preserves a...